Details

analyze1.0s (12.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

909×	`unsub-neg_binary64`
547×	`distribute-rgt-in_binary64`
528×	`distribute-lft-in_binary64`
459×	`sub-neg_binary64`
385×	`associate-l_binary64`
330×	`associate-r_binary64`
315×	`distribute-rgt-neg-in_binary64`
290×	`distribute-lft-neg-in_binary64`
286×	`neg-sub0_binary64`
281×	`neg-mul-1_binary64`
279×	`distribute-rgt-neg-out_binary64`
278×	`distribute-lft-neg-out_binary64`
240×	`associate--r+_binary64`
207×	`*-commutative_binary64`
190×	`associate-+l-_binary64`
183×	`cancel-sign-sub-inv_binary64`
177×	`distribute-neg-in_binary64`
167×	`+-commutative_binary64`
162×	`remove-double-neg_binary64`
129×	`associate--r-_binary64`
89×	`associate-+l+_binary64`
80×	`associate-+r-_binary64`
76×	`mul0-rgt_binary64` `mul0-lft_binary64`
52×	`distribute-rgt-out_binary64`
46×	`sub0-neg_binary64`
44×	`distribute-lft-out_binary64`
40×	`associate--l+_binary64`
36×	`cancel-sign-sub_binary64`
28×	`distribute-neg-out_binary64` `associate-+r+_binary64`
25×	`distribute-rgt-out--_binary64`
20×	`--rgt-identity_binary64`
14×	`+-rgt-identity_binary64`
13×	`associate--l-_binary64`
8×	`swap-sqr_binary64`
4×	`sqr-neg_binary64`
1×	`1-exp_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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `+-lft-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	133
1	100	133
2	340	133
3	1092	133
4	1815	133
5	2718	133
6	2801	133
7	2681	133
8	2683	133
9	2683	133
10	2985	133
11	3052	133
12	3052	133
13	3612	133
14	3124	133
15	3124	133
16	3124	133
17	3124	133
18	3124	133
19	2950	133
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	66×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

182×	`cancel-sign-sub-inv_binary64`
160×	`associate-l_binary64`
154×	`distribute-rgt-in_binary64`
127×	`associate-r_binary64`
113×	`unsub-neg_binary64`
108×	`distribute-rgt-neg-in_binary64`
83×	`distribute-lft-in_binary64`
81×	`distribute-lft-neg-in_binary64`
70×	`distribute-lft-neg-out_binary64`
69×	`associate--r+_binary64`
68×	`distribute-rgt-neg-out_binary64`
65×	`sub-neg_binary64`
60×	`*-commutative_binary64`
54×	`distribute-neg-in_binary64`
52×	`neg-sub0_binary64`
39×	`neg-mul-1_binary64`
30×	`mul0-rgt_binary64`
29×	`mul0-lft_binary64`
24×	`associate-+l-_binary64`
21×	`+-commutative_binary64`
20×	`remove-double-neg_binary64` `associate--r-_binary64`
14×	`associate--l+_binary64`
11×	`associate-+r+_binary64`
9×	`*-lft-identity_binary64`
7×	`sub0-neg_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
6×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
5×	`associate-+r-_binary64`
3×	`distribute-neg-out_binary64`
2×	`mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `swap-sqr_binary64` `cancel-sign-sub_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` `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` `/-rgt-identity_binary64` `+-lft-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	23	19
2	70	19
3	211	19
4	402	19
5	715	19
6	827	19
7	784	19
8	782	19
9	785	19
10	785	19
11	704	19

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

8.1b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
7.6b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite87.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

16×	`cancel-sign-sub-inv_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--r+_binary64`
7×	`add-log-exp_binary64`
6×	`sub-neg_binary64`
4×	`associate-r_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-*r/_binary64` `difference-of-squares_binary64` `diff-log_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
4.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1379 to 520 computations (62.3% saved)

series171.0ms (2%)

Error

7.6b

Counts

3 → 51

Calls

3 calls:

87.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
44.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
22.0ms	(-.f64 (*.f64 z z) t)

Compiler

Compiled 1255 to 1139 computations (9.2% saved)

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

431×	`*-commutative_binary64`
414×	`exp-prod_binary64`
391×	`cancel-sign-sub-inv_binary64`
346×	`distribute-rgt-in_binary64`
340×	`distribute-lft-in_binary64`
252×	`unsub-neg_binary64`
218×	`exp-sum_binary64`
201×	`associate-l_binary64`
197×	`distribute-rgt-neg-in_binary64`
175×	`distribute-lft-neg-in_binary64`
171×	`associate-r_binary64`
155×	`neg-sub0_binary64`
153×	`neg-mul-1_binary64`
142×	`unswap-sqr_binary64`
114×	`sqr-pow_binary64`
108×	`sub-neg_binary64`
81×	`exp-diff_binary64`
51×	`cube-prod_binary64`
50×	`distribute-lft-neg-out_binary64`
48×	`+-commutative_binary64`
44×	`difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
42×	`swap-sqr_binary64`
38×	`distribute-rgt-out_binary64`
36×	`*-lft-identity_binary64`
33×	`*-rgt-identity_binary64`
30×	`associate-+l+_binary64`
27×	`associate-+r+_binary64`
25×	`log-prod_binary64`
24×	`remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
22×	`unpow3_binary64`
20×	`pow-sqr_binary64` `distribute-lft-out_binary64`
18×	`times-frac_binary64` `distribute-neg-in_binary64`
14×	`associate-+l-_binary64` `associate-+r-_binary64`
13×	`exp-neg_binary64` `+-rgt-identity_binary64`
12×	`sub0-neg_binary64` `associate--r+_binary64`
10×	`pow-plus_binary64`
9×	`div-sub_binary64`
8×	`cube-unmult_binary64` `distribute-rgt-out--_binary64`
6×	`unpow2_binary64` `cube-mult_binary64`
4×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `associate-/l*_binary64`
3×	`unpow1_binary64` `associate--l+_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `sqr-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `associate-/r*_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` `log-rec_binary64` `log-div_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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

115 → 98

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	136	1772
1	380	1628
2	1218	1628
3	3271	1628
4	4655	1628
5	4924	1628

prune53.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	8	99

Error

7.5b

Counts

99 → 8

Compiler

Compiled 934 to 418 computations (55.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (+.f64 (*.f64 z z) t))))
3.2b	(-.f64 (pow.f64 z 4) (*.f64 t t))
7.6b	(.f64 (.f64 y 4) (/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (+.f64 (.f64 z z) t)))
27.8b	(/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (+.f64 (.f64 z z) t))

rewrite184.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

41×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
24×	`difference-of-squares_binary64` `associate-r_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64` `sqr-pow_binary64`
6×	`associate-/l*_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`associate-/r/_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r*_binary64` `pow-prod-down_binary64`
2×	`div-inv_binary64` `associate-/l/_binary64` `flip3-+_binary64` `flip-+_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64`

Counts

4 → 115

Calls

4 calls:

15.0ms	(.f64 (.f64 y 4) (/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (+.f64 (.f64 z z) t)))
13.0ms	(/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (+.f64 (.f64 z z) t))
5.0ms	(-.f64 (pow.f64 z 4) (*.f64 t t))
4.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (+.f64 (*.f64 z z) t))))

Compiler

Compiled 3957 to 1665 computations (57.9% saved)

series373.0ms (4.5%)

Error

7.5b

Counts

4 → 63

Calls

4 calls:

199.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (+.f64 (*.f64 z z) t))))
78.0ms	(.f64 (.f64 y 4) (/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (+.f64 (.f64 z z) t)))
40.0ms	(/.f64 (-.f64 (pow.f64 z 4) (.f64 t t)) (+.f64 (.f64 z z) t))
36.0ms	(-.f64 (pow.f64 z 4) (*.f64 t t))

Compiler

Compiled 1992 to 1693 computations (15% saved)

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

511×	`distribute-rgt-in_binary64`
437×	`times-frac_binary64`
282×	`associate-l_binary64`
238×	`cancel-sign-sub-inv_binary64`
237×	`associate-r_binary64`
236×	`distribute-rgt-neg-in_binary64`
213×	`distribute-lft-neg-in_binary64`
160×	`*-commutative_binary64`
137×	`associate-/l*_binary64`
118×	`associate-*r/_binary64`
95×	`div-sub_binary64`
89×	`distribute-neg-frac_binary64`
80×	`unswap-sqr_binary64`
77×	`sub-neg_binary64`
70×	`exp-prod_binary64`
64×	`sqr-pow_binary64`
62×	`distribute-lft-in_binary64`
58×	`associate-*l/_binary64`
53×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64`
46×	`cube-prod_binary64`
45×	`distribute-rgt-out_binary64`
44×	`associate-/l/_binary64` `+-commutative_binary64`
40×	`distribute-lft-neg-out_binary64` `associate-/r/_binary64`
36×	`log-prod_binary64`
34×	`*-rgt-identity_binary64`
29×	`associate-/r*_binary64`
28×	`*-lft-identity_binary64`
26×	`swap-sqr_binary64`
24×	`distribute-lft-out_binary64`
23×	`cube-div_binary64` `distribute-rgt-neg-out_binary64`
19×	`log-div_binary64`
18×	`distribute-rgt-out--_binary64`
17×	`exp-sum_binary64`
16×	`difference-of-squares_binary64` `distribute-neg-in_binary64`
13×	`unpow3_binary64`
11×	`/-rgt-identity_binary64` `associate-+l+_binary64`
10×	`pow-sqr_binary64`
9×	`exp-diff_binary64` `cube-mult_binary64` `associate-+r-_binary64`
8×	`pow-plus_binary64`
7×	`cube-unmult_binary64` `associate-+r+_binary64`
6×	`+-rgt-identity_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `unsub-neg_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
3×	`unpow1/2_binary64` `*-inverses_binary64`
2×	`div-exp_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate--r+_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `associate--r-_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` `log-rec_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` `rec-exp_binary64` `prod-exp_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

178 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	4362
1	677	4137
2	2525	3589
3	5100	3589

prune113.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	158	7	165

Error

7.5b

Counts

165 → 7

Compiler

Compiled 2857 to 1190 computations (58.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (/.f64 y (/.f64 1 (-.f64 (.f64 z z) t))))
0.0b	(-.f64 (.f64 x x) (.f64 4 (/.f64 y (/.f64 1 (-.f64 (*.f64 z z) t)))))
0.1b	(/.f64 1 (-.f64 (*.f64 z z) t))
7.6b	(/.f64 y (/.f64 1 (-.f64 (*.f64 z z) t)))

rewrite328.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

209×	`times-frac_binary64`
145×	`add-sqr-sqrt_binary64`
109×	`*-un-lft-identity_binary64`
108×	`add-cube-cbrt_binary64`
59×	`associate-r_binary64`
32×	`add-exp-log_binary64`
25×	`difference-of-squares_binary64`
22×	`associate-/r*_binary64`
20×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
14×	`div-exp_binary64`
10×	`div-inv_binary64`
9×	`flip3--_binary64` `flip--_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`prod-exp_binary64`
4×	`unswap-sqr_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 225

Calls

4 calls:

28.0ms	(.f64 4 (/.f64 y (/.f64 1 (-.f64 (.f64 z z) t))))
10.0ms	(/.f64 y (/.f64 1 (-.f64 (*.f64 z z) t)))
6.0ms	(/.f64 1 (-.f64 (*.f64 z z) t))
4.0ms	(-.f64 (.f64 x x) (.f64 4 (/.f64 y (/.f64 1 (-.f64 (*.f64 z z) t)))))

Compiler

Compiled 5968 to 2506 computations (58% saved)

series231.0ms (2.8%)

Error

7.5b

Counts

4 → 72

Calls

4 calls:

88.0ms	(-.f64 (.f64 x x) (.f64 4 (/.f64 y (/.f64 1 (-.f64 (*.f64 z z) t)))))
45.0ms	(.f64 4 (/.f64 y (/.f64 1 (-.f64 (.f64 z z) t))))
39.0ms	(/.f64 y (/.f64 1 (-.f64 (*.f64 z z) t)))
33.0ms	(/.f64 1 (-.f64 (*.f64 z z) t))

Compiler

Compiled 1937 to 1707 computations (11.9% saved)

simplify206.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

633×	`times-frac_binary64`
534×	`associate-/r/_binary64`
252×	`neg-mul-1_binary64`
179×	`cancel-sign-sub-inv_binary64`
174×	`exp-prod_binary64`
166×	`*-commutative_binary64`
154×	`distribute-rgt-neg-in_binary64`
142×	`associate-*r/_binary64`
133×	`distribute-lft-neg-in_binary64`
125×	`associate-/l/_binary64` `associate-r_binary64`
120×	`associate-l_binary64`
119×	`associate-*l/_binary64`
113×	`associate-/l*_binary64`
74×	`distribute-rgt-in_binary64`
73×	`div-sub_binary64`
69×	`distribute-lft-in_binary64`
66×	`sub-neg_binary64` `distribute-neg-in_binary64`
65×	`distribute-neg-frac_binary64`
64×	`distribute-lft-neg-out_binary64`
50×	`associate-/r*_binary64`
49×	`distribute-rgt-neg-out_binary64`
46×	`exp-sum_binary64` `neg-sub0_binary64` `sqr-pow_binary64`
45×	`unswap-sqr_binary64`
42×	`+-commutative_binary64`
39×	`cube-prod_binary64`
38×	`*-rgt-identity_binary64`
36×	`distribute-rgt-out_binary64`
28×	`exp-diff_binary64`
23×	`log-div_binary64`
22×	`log-prod_binary64` `cube-div_binary64`
16×	`unpow3_binary64` `associate-+r+_binary64`
14×	`*-lft-identity_binary64` `associate-+l+_binary64`
13×	`unsub-neg_binary64` `/-rgt-identity_binary64` `associate--r+_binary64`
12×	`difference-of-squares_binary64` `swap-sqr_binary64`
9×	`cube-unmult_binary64` `cube-mult_binary64` `associate-+r-_binary64`
7×	`pow-plus_binary64` `remove-double-div_binary64` `associate--r-_binary64`
6×	`distribute-lft-out_binary64`
5×	`distribute-rgt-out--_binary64`
4×	`log-rec_binary64` `unpow2_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64`
2×	`div-exp_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64` `associate-+l-_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `+-lft-identity_binary64` `count-2_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-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-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` `sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

297 → 247

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	5767
1	737	5500
2	2594	5498
3	4483	5498
4	4985	5498

prune396.0ms (4.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	244	3	247
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	245	9	254

Error

3.9b

Counts

254 → 9

Compiler

Compiled 3369 to 1267 computations (62.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 (+.f64 z (sqrt.f64 t)) (*.f64 y (-.f64 z (sqrt.f64 t)))))
0.0b	(-.f64 z (sqrt.f64 t))
0.1b	(*.f64 y (-.f64 z (sqrt.f64 t)))
0.1b	(.f64 (+.f64 z (sqrt.f64 t)) (.f64 y (-.f64 z (sqrt.f64 t))))

rewrite225.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

119×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
90×	`cancel-sign-sub-inv_binary64`
48×	`add-sqr-sqrt_binary64`
47×	`sqrt-prod_binary64`
44×	`*-un-lft-identity_binary64`
38×	`add-cube-cbrt_binary64`
26×	`associate-*r/_binary64`
20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`sub-neg_binary64`
10×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
8×	`flip3--_binary64` `frac-times_binary64` `flip--_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`associate-*l/_binary64` `difference-of-squares_binary64`
3×	`*-commutative_binary64`
2×	`distribute-lft-out--_binary64`
1×	`distribute-lft-out_binary64` `unswap-sqr_binary64` `diff-log_binary64`

Counts

4 → 197

Calls

4 calls:

17.0ms	(.f64 4 (.f64 (+.f64 z (sqrt.f64 t)) (*.f64 y (-.f64 z (sqrt.f64 t)))))
16.0ms	(.f64 (+.f64 z (sqrt.f64 t)) (.f64 y (-.f64 z (sqrt.f64 t))))
9.0ms	(*.f64 y (-.f64 z (sqrt.f64 t)))
5.0ms	(-.f64 z (sqrt.f64 t))

Compiler

Compiled 4897 to 1254 computations (74.4% saved)

series174.0ms (2.1%)

Error

3.9b

Counts

4 → 45

Calls

4 calls:

59.0ms	(.f64 4 (.f64 (+.f64 z (sqrt.f64 t)) (*.f64 y (-.f64 z (sqrt.f64 t)))))
51.0ms	(.f64 (+.f64 z (sqrt.f64 t)) (.f64 y (-.f64 z (sqrt.f64 t))))
34.0ms	(*.f64 y (-.f64 z (sqrt.f64 t)))
17.0ms	(-.f64 z (sqrt.f64 t))

Compiler

Compiled 1542 to 1213 computations (21.3% saved)

simplify192.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

452×	`neg-mul-1_binary64`
451×	`associate-r_binary64`
412×	`associate-l_binary64`
378×	`exp-prod_binary64`
229×	`*-commutative_binary64`
227×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
181×	`distribute-rgt-in_binary64`
174×	`+-commutative_binary64`
170×	`distribute-lft-in_binary64`
109×	`exp-sum_binary64`
85×	`associate-+l+_binary64`
79×	`cube-prod_binary64`
74×	`associate-+r+_binary64`
73×	`exp-neg_binary64`
71×	`log-prod_binary64`
63×	`cancel-sign-sub-inv_binary64`
61×	`distribute-rgt-neg-in_binary64`
50×	`exp-diff_binary64`
49×	`distribute-lft-neg-in_binary64`
45×	`neg-sub0_binary64`
42×	`sub-neg_binary64`
37×	`swap-sqr_binary64`
35×	`*-rgt-identity_binary64`
34×	`distribute-rgt-out_binary64`
32×	`sqr-pow_binary64`
31×	`div-sub_binary64`
29×	`*-lft-identity_binary64`
23×	`associate-+r-_binary64`
18×	`unswap-sqr_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64`
17×	`unsub-neg_binary64`
16×	`unpow3_binary64`
13×	`cube-mult_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`associate-/l*_binary64`
9×	`cube-unmult_binary64`
7×	`difference-of-squares_binary64`
5×	`rem-sqrt-square_binary64` `mul-1-neg_binary64`
4×	`pow-sqr_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `distribute-lft-out--_binary64`
2×	`unpow1_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64`
1×	`pow-plus_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_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` `log-rec_binary64` `log-div_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `/-rgt-identity_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

242 → 205

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	5352
1	607	4695
2	2311	4689
3	4075	4689
4	5284	4689

prune68.0ms (0.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	205	9	214

Error

3.9b

Counts

214 → 9

Compiler

Compiled 1551 to 468 computations (69.8% saved)

regimes3.1s (37.4%)

Accuracy

Total 0.7b remaining (20.9%)

Threshold costs 0.7b (20.9%)

Compiler

Compiled 35188 to 26433 computations (24.9% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
16×	`+-commutative_binary64`
15×	`sub-neg_binary64`
14×	`distribute-rgt-neg-in_binary64`
13×	`neg-mul-1_binary64` `neg-sub0_binary64`
12×	`distribute-lft-neg-in_binary64`
8×	`cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
4×	`unsub-neg_binary64`
2×	`distribute-lft-neg-out_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_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-not_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` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	49
1	41	49
2	65	49
3	89	49
4	126	49
5	146	49
6	153	49
7	155	49
8	150	49

end1.0ms (0%)

Compiler: Compiled 33 to 21 computations (36.4% saved)

sample1.0s (12.5%)

Algorithm

1×

intervals

Results

316.0ms	8000×	body	128	valid
113.0ms	3054×	body	128	invalid

Compiler

Compiled 216 to 178 computations (17.6% saved)

Iter	Nodes	Cost
0	12	19
1	23	19
2	70	19
3	211	19
4	402	19
5	715	19
6	827	19
7	784	19
8	782	19
9	785	19
10	785	19
11	704	19

Iter	Nodes	Cost
0	12	19
1	23	19
2	70	19
3	211	19
4	402	19
5	715	19
6	827	19
7	784	19
8	782	19
9	785	19
10	785	19
11	704	19

Details

analyze1.0s (12.1%)

sample26.0ms (0.3%)

simplify49.0ms (0.6%)

prune2.0ms (0%)

localize13.0ms (0.2%)

rewrite87.0ms (1%)

series171.0ms (2%)

simplify119.0ms (1.4%)

prune53.0ms (0.6%)

localize14.0ms (0.2%)

rewrite184.0ms (2.2%)

series373.0ms (4.5%)

simplify126.0ms (1.5%)

prune113.0ms (1.3%)

localize10.0ms (0.1%)

rewrite328.0ms (3.9%)

series231.0ms (2.8%)

simplify206.0ms (2.5%)

prune396.0ms (4.7%)

localize11.0ms (0.1%)

rewrite225.0ms (2.7%)

series174.0ms (2.1%)

simplify192.0ms (2.3%)

prune68.0ms (0.8%)

regimes3.1s (37.4%)

bsearch7.0ms (0.1%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample1.0s (12.5%)

Profiling

Iter	Nodes	Cost
0	12	19
1	23	19
2	70	19
3	211	19
4	402	19
5	715	19
6	827	19
7	784	19
8	782	19
9	785	19
10	785	19
11	704	19