Details

analyze584.0ms (10.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

374×	`distribute-rgt-out_binary64`
341×	`associate-/l*_binary64`
253×	`associate-l_binary64`
223×	`*-commutative_binary64`
213×	`associate-r_binary64`
197×	`associate-/r/_binary64`
178×	`distribute-lft-in_binary64`
170×	`distribute-rgt-in_binary64`
168×	`+-commutative_binary64`
154×	`associate-+l+_binary64`
130×	`associate-+r+_binary64`
105×	`associate-/r*_binary64`
96×	`distribute-lft-out_binary64`
76×	`associate-*r/_binary64`
48×	`associate-*l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	124
1	100	124
2	191	124
3	362	124
4	641	124
5	875	124
6	1093	124
7	1384	124
8	1666	124
9	1632	124
10	1639	124
11	1620	124
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	9
49.1%	50.7%	0.1%	10
52.7%	47.2%	0.1%	11
52.7%	47.2%	0.1%	12
71.7%	28.2%	0.1%	13
74.1%	25.8%	0.1%	14

Compiler

Compiled 22 to 19 computations (13.6% saved)

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 43 to 40 computations (7% saved)

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

94×	`distribute-rgt-out_binary64`
88×	`associate-/l*_binary64`
66×	`associate-l_binary64`
65×	`*-commutative_binary64`
57×	`associate-r_binary64`
52×	`associate-/r/_binary64`
47×	`+-commutative_binary64`
46×	`distribute-lft-in_binary64`
44×	`distribute-rgt-in_binary64`
42×	`associate-+l+_binary64`
36×	`associate-+r+_binary64`
29×	`associate-/r*_binary64`
24×	`distribute-lft-out_binary64`
20×	`associate-*r/_binary64`
12×	`associate-*l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	36	31
2	63	31
3	112	31
4	187	31
5	244	31
6	302	31
7	381	31
8	461	31
9	454	31
10	456	31
11	453	31

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

16.4b

Counts

2 → 1

Compiler

Compiled 42 to 36 computations (14.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)
0.1b	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
4.3b	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
15.8b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))

rewrite191.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

13.8b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-*r/_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64` `associate-l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

17.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))
11.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
7.0ms	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
4.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)

Compiler

Compiled 2384 to 1771 computations (25.7% saved)

series145.0ms (2.5%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

50.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984)) (+.f64 (.f64 (+.f64 z 1692356830115869/281474976710656) z) 7544303578448747/2251799813685248))
41.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z) 5029535718965825/18014398509481984))
14.0ms	(.f64 (+.f64 (.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992) z)
11.0ms	(+.f64 (*.f64 z 4992947066835229/72057594037927936) 4429125951667411/9007199254740992)

Compiler

Compiled 1465 to 1204 computations (17.8% saved)

simplify160.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

589×	`associate-/l*_binary64`
529×	`times-frac_binary64`
290×	`associate-*l/_binary64`
227×	`associate-*r/_binary64`
218×	`associate-/l/_binary64`
201×	`sqr-pow_binary64`
174×	`associate-l_binary64`
173×	`associate-/r*_binary64`
161×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
132×	`sub-neg_binary64`
124×	`associate-/r/_binary64`
114×	`distribute-rgt-in_binary64`
113×	`*-commutative_binary64`
111×	`exp-prod_binary64`
102×	`distribute-lft-in_binary64`
74×	`neg-mul-1_binary64` `neg-sub0_binary64`
73×	`unswap-sqr_binary64`
70×	`*-rgt-identity_binary64`
61×	`distribute-rgt-neg-in_binary64`
60×	`*-lft-identity_binary64`
54×	`log-prod_binary64`
53×	`cube-prod_binary64` `distribute-lft-neg-in_binary64`
51×	`log-div_binary64`
46×	`+-commutative_binary64`
44×	`div-sub_binary64`
42×	`/-rgt-identity_binary64`
40×	`cube-div_binary64`
36×	`pow-sqr_binary64`
35×	`unsub-neg_binary64`
33×	`exp-sum_binary64`
31×	`distribute-neg-in_binary64`
26×	`swap-sqr_binary64`
22×	`distribute-rgt-out_binary64`
19×	`unpow3_binary64`
17×	`distribute-neg-frac_binary64`
15×	`associate-+l+_binary64`
13×	`cube-mult_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
12×	`log-rec_binary64` `remove-double-div_binary64`
11×	`associate--l+_binary64`
8×	`associate-+r+_binary64`
7×	`unpow1/2_binary64` `cube-unmult_binary64`
6×	`distribute-lft-out--_binary64`
5×	`rem-sqrt-square_binary64` `distribute-lft-neg-out_binary64`
4×	`+-lft-identity_binary64` `div0_binary64`
3×	`log-pow_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64`
2×	`associate-+l-_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

116 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2489
1	530	2142
2	1828	2098
3	4330	2098
4	4723	2098
5	5047	2098

prune118.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	5	100

Error

Counts

100 → 5

Compiler

Compiled 2041 to 1508 computations (26.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))
0.2b	(*.f64 y 5029535718965825/60354428627589976)

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

4.0ms	(*.f64 y 5029535718965825/60354428627589976)
3.0ms	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))

Compiler

Compiled 294 to 206 computations (29.9% saved)

series27.0ms (0.5%)

Error

Counts

2 → 15

Calls

2 calls:

18.0ms	(+.f64 x (*.f64 y 5029535718965825/60354428627589976))
6.0ms	(*.f64 y 5029535718965825/60354428627589976)

Compiler

Compiled 111 to 140 computations (-26.1% saved)

simplify124.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

531×	`distribute-rgt-in_binary64`
503×	`unsub-neg_binary64`
440×	`distribute-lft-in_binary64`
334×	`distribute-rgt-neg-out_binary64`
316×	`distribute-neg-out_binary64`
312×	`*-commutative_binary64`
285×	`sub-neg_binary64`
264×	`distribute-rgt-out_binary64`
152×	`associate-l_binary64`
133×	`+-commutative_binary64`
124×	`unswap-sqr_binary64`
120×	`associate-+l-_binary64`
113×	`associate-r_binary64`
110×	`neg-mul-1_binary64`
103×	`associate--r+_binary64`
97×	`cancel-sign-sub-inv_binary64`
96×	`neg-sub0_binary64`
95×	`sqr-pow_binary64` `associate-+l+_binary64`
94×	`distribute-rgt-neg-in_binary64`
89×	`associate-+r+_binary64`
69×	`distribute-lft-neg-out_binary64`
67×	`associate--l+_binary64`
63×	`distribute-lft-out_binary64`
62×	`*-rgt-identity_binary64`
61×	`distribute-neg-in_binary64`
58×	`exp-prod_binary64`
57×	`distribute-rgt-out--_binary64`
54×	`*-lft-identity_binary64`
52×	`associate-+r-_binary64`
51×	`associate--l-_binary64`
46×	`sub0-neg_binary64`
45×	`distribute-lft-neg-in_binary64`
44×	`cube-prod_binary64`
42×	`rem-sqrt-square_binary64`
39×	`cancel-sign-sub_binary64`
37×	`log-prod_binary64`
30×	`exp-diff_binary64`
29×	`associate--r-_binary64`
28×	`exp-sum_binary64` `pow-sqr_binary64`
26×	`mul0-rgt_binary64` `mul0-lft_binary64`
22×	`unpow3_binary64` `div-sub_binary64`
21×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64`
19×	`log-div_binary64`
16×	`distribute-lft-out--_binary64`
12×	`cube-unmult_binary64` `cube-div_binary64`
11×	`cube-neg_binary64` `+-rgt-identity_binary64` `associate-/l/_binary64`
10×	`times-frac_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `associate-/l_binary64` `associate-r/_binary64`
8×	`pow-plus_binary64` `sqr-neg_binary64`
7×	`cube-mult_binary64`
6×	`associate-/r/_binary64`
5×	`exp-sqrt_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `difference-of-squares_binary64` `associate-/r*_binary64`
3×	`exp-lft-sqr_binary64` `exp-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
2×	`log-rec_binary64` `unpow1_binary64` `prod-exp_binary64` `--rgt-identity_binary64` `distribute-neg-frac_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `associate-*l/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`

Counts

44 → 26

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	338
1	131	323
2	331	323
3	732	323
4	1371	323
5	2458	323
6	2979	323
7	4768	323
8	4973	323
9	4813	323

prune24.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	26	5	31

Error

Counts

31 → 5

Compiler

Compiled 269 to 199 computations (26% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (/.f64 y (sqrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))))) (/.f64 (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))) (sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))))
12.9b	(sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
12.9b	(sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
13.0b	(/.f64 (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))) (sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656)))))

rewrite321.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

79×	`add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
42×	`sqrt-prod_binary64`
24×	`associate-l_binary64` `associate-r_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-div_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1_binary64`
6×	`flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
3×	`div-inv_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 150

Calls

4 calls:

27.0ms	(.f64 (/.f64 y (sqrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))))) (/.f64 (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))) (sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))))
9.0ms	(/.f64 (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))) (sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656)))))
3.0ms	(sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
3.0ms	(sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))

Compiler

Compiled 6359 to 4851 computations (23.7% saved)

series191.0ms (3.3%)

Error

Counts

4 → 47

Calls

4 calls:

51.0ms	(.f64 (/.f64 y (sqrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656))))) (/.f64 (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))) (sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))))
28.0ms	(/.f64 (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))) (sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656)))))
24.0ms	(sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
22.0ms	(sqrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))

Compiler

Compiled 2699 to 2226 computations (17.5% saved)

simplify275.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

883×	`distribute-rgt-in_binary64`
308×	`times-frac_binary64`
185×	`*-commutative_binary64`
176×	`associate-*r/_binary64`
171×	`cancel-sign-sub-inv_binary64`
144×	`associate-*l/_binary64`
141×	`associate-/l*_binary64`
139×	`associate-l_binary64`
125×	`sub-neg_binary64`
123×	`associate-r_binary64`
108×	`distribute-lft-in_binary64`
86×	`distribute-rgt-neg-in_binary64`
79×	`+-commutative_binary64`
78×	`distribute-neg-in_binary64`
77×	`distribute-lft-neg-in_binary64`
54×	`neg-sub0_binary64`
53×	`neg-mul-1_binary64`
47×	`associate-/r*_binary64`
46×	`associate-/l/_binary64`
44×	`associate--l+_binary64`
36×	`associate-+l+_binary64`
32×	`associate--r+_binary64`
31×	`distribute-rgt-out_binary64`
30×	`log-prod_binary64` `distribute-neg-frac_binary64`
29×	`log-div_binary64` `unsub-neg_binary64`
28×	`*-rgt-identity_binary64` `sqr-pow_binary64`
22×	`*-lft-identity_binary64`
21×	`associate-+r+_binary64`
18×	`unswap-sqr_binary64`
16×	`distribute-rgt-out--_binary64`
14×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
12×	`cube-prod_binary64`
11×	`exp-prod_binary64` `cube-div_binary64`
10×	`associate-/r/_binary64`
8×	`/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
7×	`associate-+r-_binary64`
6×	`cube-unmult_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
5×	`unpow3_binary64` `cube-mult_binary64`
4×	`exp-sum_binary64`
3×	`rem-square-sqrt_binary64`
2×	`rem-sqrt-square_binary64` `div-sub_binary64` `+-rgt-identity_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul-1-neg_binary64` `pow-sqr_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

197 → 164

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	7585
1	844	6709
2	2601	6627
3	4991	6627
4	4918	6627

prune221.0ms (3.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	164	5	169

Error

Counts

169 → 5

Compiler

Compiled 5124 to 3860 computations (24.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

12.2b	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))) (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))))) (/.f64 (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))) (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))))
13.3b	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
13.3b	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
13.3b	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))

rewrite278.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
25×	`add-exp-log_binary64`
24×	`associate-r_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`cbrt-div_binary64` `cbrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
15×	`associate-l_binary64`
10×	`flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64`
8×	`prod-exp_binary64` `cbrt-unprod_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
5×	`frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l/_binary64` `associate-r/_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 108

Calls

4 calls:

28.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))) (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))))) (/.f64 (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))) (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))))
3.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
2.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
2.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))

Compiler

Compiled 6343 to 4851 computations (23.5% saved)

series195.0ms (3.4%)

Error

Counts

4 → 48

Calls

4 calls:

52.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))) (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (.f64 z (+.f64 z 1692356830115869/281474976710656)))))) (/.f64 (+.f64 5029535718965825/18014398509481984 (.f64 z (+.f64 4429125951667411/9007199254740992 (.f64 4992947066835229/72057594037927936 z)))) (cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))))
31.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
31.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))
29.0ms	(cbrt.f64 (+.f64 7544303578448747/2251799813685248 (*.f64 z (+.f64 z 1692356830115869/281474976710656))))

Compiler

Compiled 3314 to 2758 computations (16.8% saved)

simplify229.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

704×	`distribute-rgt-in_binary64`
649×	`times-frac_binary64`
199×	`associate-*r/_binary64`
178×	`associate-l_binary64`
173×	`*-commutative_binary64`
160×	`associate-*l/_binary64`
156×	`associate-r_binary64`
139×	`cancel-sign-sub-inv_binary64`
135×	`associate-/l*_binary64`
89×	`distribute-lft-in_binary64`
80×	`neg-mul-1_binary64` `neg-sub0_binary64`
78×	`associate-/r*_binary64`
70×	`distribute-rgt-neg-in_binary64`
65×	`distribute-lft-neg-in_binary64`
56×	`sub-neg_binary64`
54×	`associate-/l/_binary64`
51×	`+-commutative_binary64`
49×	`log-prod_binary64`
46×	`cube-prod_binary64`
43×	`log-div_binary64`
42×	`sqr-pow_binary64`
40×	`unswap-sqr_binary64`
37×	`cube-div_binary64`
33×	`*-rgt-identity_binary64`
30×	`*-lft-identity_binary64`
28×	`distribute-neg-in_binary64`
25×	`distribute-rgt-out_binary64` `associate--l+_binary64`
23×	`associate-+l+_binary64`
20×	`exp-prod_binary64`
18×	`swap-sqr_binary64`
17×	`unpow3_binary64`
15×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
13×	`associate-+r+_binary64`
10×	`distribute-lft-out_binary64`
9×	`exp-sum_binary64` `/-rgt-identity_binary64` `associate-/r/_binary64` `associate-+l-_binary64`
8×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
7×	`unsub-neg_binary64`
6×	`distribute-lft-out--_binary64`
5×	`unpow1/3_binary64` `distribute-neg-frac_binary64` `associate-+r-_binary64`
4×	`distribute-rgt-neg-out_binary64`
3×	`pow-plus_binary64` `distribute-rgt1-in_binary64` `associate--r+_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `pow-sqr_binary64`
1×	`log-pow_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `count-2_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

156 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	6929
1	713	5508
2	2589	5453
3	4769	5453
4	4949	5453

prune166.0ms (2.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	121	5	126

Error

Counts

126 → 5

Compiler

Compiled 4473 to 3383 computations (24.4% saved)

regimes1.4s (24.8%)

Accuracy

Total 0.8b remaining (98.4%)

Threshold costs 0.8b (98.4%)

Compiler

Compiled 15567 to 13356 computations (14.2% saved)

bsearch35.0ms (0.6%)

Steps

Iters	Range		Point
5	15.031903580793538	48137654242035144.0	15564925946060844.0
8	-1.513807991478276e+100	-1.8764897295242185e+96	-1.9035509329418147e+96

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`*-commutative_binary64`
1×	`if-if-or-not_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	55
1	44	55
2	44	55

end2.0ms (0%)

Compiler: Compiled 37 to 30 computations (18.9% saved)

sample922.0ms (15.9%)

Algorithm

1×

intervals

Results

440.0ms

8000×

body

128

valid

Compiler

Compiled 235 to 204 computations (13.2% saved)

Iter	Nodes	Cost
0	19	31
1	36	31
2	63	31
3	112	31
4	187	31
5	244	31
6	302	31
7	381	31
8	461	31
9	454	31
10	456	31
11	453	31

Iter	Nodes	Cost
0	19	31
1	36	31
2	63	31
3	112	31
4	187	31
5	244	31
6	302	31
7	381	31
8	461	31
9	454	31
10	456	31
11	453	31

Details

analyze584.0ms (10.1%)

sample27.0ms (0.5%)

simplify22.0ms (0.4%)

prune3.0ms (0.1%)

localize14.0ms (0.2%)

rewrite191.0ms (3.3%)

series145.0ms (2.5%)

simplify160.0ms (2.8%)

prune118.0ms (2%)

localize4.0ms (0.1%)

rewrite42.0ms (0.7%)

series27.0ms (0.5%)

simplify124.0ms (2.1%)

prune24.0ms (0.4%)

localize21.0ms (0.4%)

rewrite321.0ms (5.5%)

series191.0ms (3.3%)

simplify275.0ms (4.7%)

prune221.0ms (3.8%)

localize20.0ms (0.3%)

rewrite278.0ms (4.8%)

series195.0ms (3.4%)

simplify229.0ms (3.9%)

prune166.0ms (2.9%)

regimes1.4s (24.8%)

bsearch35.0ms (0.6%)

simplify5.0ms (0.1%)

end2.0ms (0%)

sample922.0ms (15.9%)

Profiling

Iter	Nodes	Cost
0	19	31
1	36	31
2	63	31
3	112	31
4	187	31
5	244	31
6	302	31
7	381	31
8	461	31
9	454	31
10	456	31
11	453	31