Details

analyze1.2s (21.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

932×	`times-frac_binary64`
758×	`div-sub_binary64`
562×	`unsub-neg_binary64`
414×	`sub-neg_binary64`
286×	`distribute-rgt-in_binary64`
276×	`cancel-sign-sub-inv_binary64`
275×	`neg-mul-1_binary64`
255×	`distribute-lft-in_binary64`
195×	`neg-sub0_binary64`
128×	`mul-1-neg_binary64`
124×	`+-commutative_binary64`
116×	`associate-+r+_binary64`
103×	`associate--r+_binary64`
84×	`*-commutative_binary64`
81×	`associate-+l+_binary64`
79×	`associate-+l-_binary64`
78×	`associate-+r-_binary64`
77×	`associate-/l*_binary64`
61×	`mul0-rgt_binary64` `mul0-lft_binary64`
60×	`distribute-frac-neg_binary64`
55×	`associate-r_binary64`
54×	`associate-/r/_binary64`
44×	`+-rgt-identity_binary64`
40×	`distribute-neg-frac_binary64` `associate-*l/_binary64`
39×	`distribute-rgt-neg-out_binary64`
37×	`distribute-lft-neg-out_binary64`
36×	`sub0-neg_binary64`
28×	`associate-l_binary64`
27×	`div0_binary64`
26×	`distribute-rgt-neg-in_binary64`
24×	`associate--r-_binary64`
23×	`distribute-neg-in_binary64`
20×	`distribute-lft-neg-in_binary64`
19×	`associate-*r/_binary64`
18×	`associate--l+_binary64`
16×	`remove-double-neg_binary64`
13×	`+-lft-identity_binary64`
11×	`distribute-rgt-out_binary64`
3×	`*-lft-identity_binary64`
2×	`--rgt-identity_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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_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_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r*_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	176
1	109	176
2	277	176
3	527	176
4	1063	176
5	2710	176
6	3916	176
7	4975	176
8	4947	176
9	4927	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify203.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1736×	`div-sub_binary64`
1086×	`sub-neg_binary64`
696×	`distribute-rgt-in_binary64`
686×	`unsub-neg_binary64`
555×	`distribute-lft-in_binary64`
423×	`neg-mul-1_binary64`
346×	`times-frac_binary64`
316×	`distribute-rgt-neg-out_binary64`
311×	`neg-sub0_binary64`
285×	`associate-/l*_binary64`
275×	`cancel-sign-sub-inv_binary64`
241×	`distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64`
236×	`distribute-rgt-neg-in_binary64`
224×	`distribute-frac-neg_binary64`
200×	`*-commutative_binary64`
193×	`associate-/r*_binary64`
182×	`distribute-lft-neg-in_binary64`
147×	`associate-*l/_binary64`
114×	`associate-/r/_binary64`
105×	`associate-*r/_binary64`
104×	`associate-r_binary64`
99×	`associate-/l/_binary64`
94×	`cancel-sign-sub_binary64`
91×	`associate-l_binary64`
89×	`/-rgt-identity_binary64`
83×	`associate--r+_binary64`
76×	`associate--l-_binary64`
71×	`associate--r-_binary64`
68×	`distribute-neg-in_binary64`
64×	`mul0-rgt_binary64`
62×	`*-rgt-identity_binary64`
61×	`+-commutative_binary64`
60×	`mul0-lft_binary64`
56×	`associate-+l-_binary64`
50×	`div0_binary64`
41×	`associate-+r-_binary64`
35×	`remove-double-neg_binary64` `sub0-neg_binary64`
32×	`associate-+l+_binary64`
30×	`*-lft-identity_binary64`
29×	`associate--l+_binary64`
26×	`--rgt-identity_binary64`
23×	`+-rgt-identity_binary64` `distribute-neg-out_binary64`
17×	`associate-+r+_binary64`
14×	`+-lft-identity_binary64`
11×	`distribute-rgt-out--_binary64`
7×	`distribute-lft-out--_binary64` `distribute-lft-out_binary64`
6×	`mul-1-neg_binary64` `distribute-rgt-out_binary64`
5×	`remove-double-div_binary64`
2×	`lft-mult-inverse_binary64`
1×	`1-exp_binary64` `*-inverses_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` `+-inverses_binary64` `rgt-mult-inverse_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	40	16
3	76	16
4	144	16
5	263	16
6	511	16
7	1288	16
8	2089	16
9	2369	16
10	2720	16
11	2905	16
12	3011	16
13	3046	16
14	4295	16
15	3826	16
16	4070	16
17	4630	16
18	4787	16

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

12.1b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
0.0b	(*.f64 (-.f64 y z) t)
12.1b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

rewrite99.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `times-frac_binary64` `associate-/r_binary64` `associate-l*_binary64`
4×	`associate-*l/_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip3--_binary64` `flip--_binary64` `associate-r_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

12.0ms	(*.f64 (-.f64 y z) t)
9.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))

Compiler

Compiled 1121 to 267 computations (76.2% saved)

series259.0ms (4.6%)

Error

0.2b

Counts

3 → 80

Calls

3 calls:

114.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
72.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
29.0ms	(*.f64 (-.f64 y z) t)

Compiler

Compiled 3072 to 2029 computations (34% saved)

simplify126.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

712×	`cancel-sign-sub-inv_binary64`
442×	`distribute-rgt-in_binary64`
371×	`div-sub_binary64`
312×	`sub-neg_binary64`
195×	`neg-mul-1_binary64`
142×	`associate-/l*_binary64`
139×	`associate--l+_binary64`
133×	`+-commutative_binary64`
108×	`associate--r+_binary64`
104×	`times-frac_binary64`
84×	`associate-+l+_binary64`
79×	`distribute-neg-frac_binary64`
78×	`*-commutative_binary64`
72×	`associate-l_binary64`
69×	`distribute-rgt-neg-in_binary64`
67×	`associate-r_binary64`
64×	`distribute-lft-neg-in_binary64` `associate-+r+_binary64`
59×	`distribute-neg-in_binary64`
57×	`exp-prod_binary64`
55×	`distribute-lft-in_binary64` `associate-/r*_binary64`
47×	`neg-sub0_binary64`
45×	`associate-*l/_binary64`
43×	`associate-*r/_binary64`
42×	`unsub-neg_binary64`
41×	`distribute-lft-neg-out_binary64`
40×	`sqr-pow_binary64` `associate-/r/_binary64`
35×	`cube-div_binary64`
33×	`cube-prod_binary64`
32×	`log-div_binary64`
31×	`exp-sum_binary64` `associate-/l/_binary64`
30×	`distribute-rgt-neg-out_binary64`
26×	`log-prod_binary64`
24×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
23×	`distribute-lft-out_binary64`
20×	`exp-diff_binary64`
19×	`/-rgt-identity_binary64`
18×	`unpow3_binary64`
14×	`cube-mult_binary64`
12×	`unswap-sqr_binary64`
11×	`distribute-lft-out--_binary64`
10×	`*-lft-identity_binary64` `distribute-rgt-out--_binary64`
9×	`difference-of-squares_binary64`
6×	`cube-unmult_binary64` `swap-sqr_binary64`
5×	`log-rec_binary64` `distribute-rgt1-in_binary64`
4×	`mul-1-neg_binary64`
3×	`unpow1/2_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `associate--r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `div0_binary64` `*-inverses_binary64` `associate-+l-_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` `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-neg_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` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

143 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	3020
1	665	2747
2	2424	2501
3	4251	2501
4	4970	2501

prune57.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Error

0.0b

Counts

103 → 5

Compiler

Compiled 1354 to 368 computations (72.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
0.0b	(/.f64 (-.f64 y z) (-.f64 a z))
1.6b	(*.f64 t (/.f64 (-.f64 y z) (-.f64 a z)))

rewrite121.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`associate-/r/_binary64`
3×	`associate-l_binary64` `flip3--_binary64` `flip--_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 t (/.f64 (-.f64 y z) (-.f64 a z)))
8.0ms	(/.f64 (-.f64 y z) (-.f64 a z))
3.0ms	(+.f64 x (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))

Compiler

Compiled 1958 to 420 computations (78.5% saved)

series288.0ms (5.2%)

Error

0.0b

Counts

3 → 89

Calls

3 calls:

114.0ms	(+.f64 x (*.f64 t (/.f64 (-.f64 y z) (-.f64 a z))))
70.0ms	(*.f64 t (/.f64 (-.f64 y z) (-.f64 a z)))
49.0ms	(/.f64 (-.f64 y z) (-.f64 a z))

Compiler

Compiled 3745 to 2462 computations (34.3% saved)

simplify136.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

959×	`times-frac_binary64`
803×	`cancel-sign-sub-inv_binary64`
377×	`sub-neg_binary64`
175×	`associate--l+_binary64`
174×	`associate-/l*_binary64`
161×	`+-commutative_binary64`
140×	`associate--r+_binary64`
137×	`associate-l_binary64`
133×	`associate-r_binary64`
110×	`associate-+l+_binary64`
93×	`*-commutative_binary64`
81×	`div-sub_binary64`
79×	`associate-+r+_binary64`
75×	`associate-*r/_binary64`
73×	`neg-sub0_binary64`
66×	`neg-mul-1_binary64`
63×	`associate-/r*_binary64`
59×	`unsub-neg_binary64`
55×	`distribute-rgt-in_binary64`
51×	`distribute-lft-in_binary64`
47×	`associate-*l/_binary64`
42×	`*-rgt-identity_binary64`
38×	`associate-/l/_binary64`
37×	`associate-/r/_binary64`
36×	`*-lft-identity_binary64`
35×	`sqr-pow_binary64`
28×	`/-rgt-identity_binary64`
26×	`distribute-neg-in_binary64`
20×	`unswap-sqr_binary64`
17×	`cube-prod_binary64` `distribute-rgt-neg-in_binary64`
14×	`log-prod_binary64`
13×	`distribute-neg-frac_binary64`
12×	`distribute-lft-neg-in_binary64`
11×	`exp-prod_binary64`
10×	`log-div_binary64` `cube-div_binary64`
8×	`unpow3_binary64`
7×	`mul-1-neg_binary64`
6×	`cube-mult_binary64`
5×	`cube-unmult_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
4×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_binary64` `distribute-rgt-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` `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` `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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

202 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	4484
1	860	4400
2	3053	4244
3	5298	4244

prune65.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	116	7	123

Error

Counts

123 → 7

Compiler

Compiled 1756 to 439 computations (75% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.7b	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (cbrt.f64 t))
1.2b	(.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (cbrt.f64 t)))

rewrite139.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`associate-l_binary64`
30×	`add-exp-log_binary64`
27×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64`
11×	`cbrt-prod_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`pow-prod-down_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`associate-l/_binary64` `-commutative_binary64` `associate-/r/_binary64` `pow1/3_binary64`
1×	`associate-*r/_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 104

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (cbrt.f64 t)))
16.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (cbrt.f64 t))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2435 to 447 computations (81.6% saved)

series260.0ms (4.7%)

Error

Counts

4 → 54

Calls

4 calls:

109.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (cbrt.f64 t))
78.0ms	(.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) (cbrt.f64 t)))
18.0ms	(cbrt.f64 t)
17.0ms	(cbrt.f64 t)

Compiler

Compiled 3031 to 2036 computations (32.8% saved)

simplify166.0ms (3%)

Algorithm

1×	egg-herbie

Rules

462×	`cancel-sign-sub-inv_binary64`
382×	`distribute-rgt-in_binary64`
242×	`associate-l_binary64`
219×	`associate-r_binary64`
182×	`sub-neg_binary64`
176×	`log-prod_binary64`
166×	`associate-/l*_binary64`
131×	`*-commutative_binary64`
123×	`unswap-sqr_binary64`
102×	`distribute-rgt-neg-in_binary64`
101×	`exp-prod_binary64`
92×	`distribute-lft-neg-in_binary64`
87×	`times-frac_binary64`
82×	`+-commutative_binary64`
77×	`distribute-neg-frac_binary64` `associate--l+_binary64`
74×	`associate-*r/_binary64`
73×	`div-sub_binary64`
71×	`associate-*l/_binary64`
53×	`distribute-rgt-out_binary64`
52×	`neg-sub0_binary64`
51×	`associate--r+_binary64`
50×	`associate-+l+_binary64`
47×	`associate-/r*_binary64`
45×	`distribute-lft-out_binary64`
44×	`distribute-neg-in_binary64`
43×	`sqr-pow_binary64` `associate-+r+_binary64`
42×	`neg-mul-1_binary64`
39×	`log-div_binary64`
33×	`unsub-neg_binary64`
27×	`distribute-lft-out--_binary64`
26×	`distribute-lft-neg-out_binary64` `associate-/r/_binary64`
24×	`distribute-rgt-out--_binary64`
23×	`distribute-lft-in_binary64`
22×	`unpow3_binary64`
20×	`cube-prod_binary64`
19×	`swap-sqr_binary64`
18×	`distribute-rgt-neg-out_binary64`
13×	`mul-1-neg_binary64`
10×	`cube-unmult_binary64`
9×	`log-pow_binary64` `cube-div_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `distribute-rgt1-in_binary64`
8×	`pow-plus_binary64` `exp-sum_binary64`
5×	`rem-sqrt-square_binary64`
4×	`pow-sqr_binary64` `associate-+r-_binary64`
3×	`unpow1/2_binary64` `exp-diff_binary64` `cube-mult_binary64`
2×	`unpow1/3_binary64` `unpow2_binary64` `unpow1_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_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-rec_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-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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

158 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	3427
1	717	2746
2	2503	2591
3	4836	2591
4	4959	2591
5	5005	2591

prune72.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	118	7	125

Error

Counts

125 → 7

Compiler

Compiled 1760 to 480 computations (72.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a z))
0.5b	(cbrt.f64 (-.f64 a z))
0.5b	(cbrt.f64 (-.f64 a z))
6.6b	(.f64 (/.f64 t (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 y z) (cbrt.f64 (-.f64 a z))))

rewrite183.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
46×	`associate-r_binary64`
42×	`cbrt-prod_binary64`
28×	`add-cube-cbrt_binary64`
25×	`add-exp-log_binary64`
20×	`cbrt-div_binary64`
18×	`add-cbrt-cube_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-l_binary64`
10×	`flip3--_binary64` `associate-/r/_binary64` `flip--_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×	`associate-l/_binary64` `associate-r/_binary64` `pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 136

Calls

4 calls:

37.0ms	(.f64 (/.f64 t (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 y z) (cbrt.f64 (-.f64 a z))))
3.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 4039 to 654 computations (83.8% saved)

series237.0ms (4.2%)

Error

Counts

4 → 60

Calls

4 calls:

81.0ms	(.f64 (/.f64 t (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 y z) (cbrt.f64 (-.f64 a z))))
38.0ms	(cbrt.f64 (-.f64 a z))
37.0ms	(cbrt.f64 (-.f64 a z))
36.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 3901 to 2673 computations (31.5% saved)

simplify183.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

476×	`cancel-sign-sub-inv_binary64`
262×	`associate-/l*_binary64`
247×	`associate-*r/_binary64`
213×	`neg-sub0_binary64`
204×	`neg-mul-1_binary64`
195×	`times-frac_binary64`
187×	`associate-*l/_binary64`
182×	`sub-neg_binary64`
174×	`associate-l_binary64` `*-commutative_binary64`
168×	`associate-r_binary64`
133×	`associate-/r*_binary64`
117×	`div-sub_binary64`
115×	`distribute-rgt-neg-in_binary64`
111×	`distribute-lft-neg-in_binary64`
100×	`unsub-neg_binary64`
82×	`associate-/l/_binary64`
75×	`+-commutative_binary64`
67×	`associate--l+_binary64`
61×	`distribute-neg-frac_binary64`
51×	`sqr-pow_binary64` `associate--r+_binary64`
46×	`log-div_binary64`
43×	`*-rgt-identity_binary64` `distribute-neg-in_binary64`
42×	`log-prod_binary64`
41×	`associate-+l+_binary64`
40×	`cube-div_binary64` `*-lft-identity_binary64`
39×	`cube-prod_binary64`
35×	`associate-/r/_binary64`
32×	`associate-+r+_binary64`
29×	`exp-prod_binary64` `distribute-rgt-out_binary64`
25×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
23×	`unswap-sqr_binary64` `distribute-lft-neg-out_binary64`
21×	`distribute-rgt-neg-out_binary64`
19×	`unpow3_binary64`
17×	`cube-mult_binary64`
16×	`exp-sum_binary64` `distribute-lft-out--_binary64`
14×	`swap-sqr_binary64`
13×	`exp-diff_binary64` `distribute-frac-neg_binary64`
11×	`/-rgt-identity_binary64`
10×	`cube-unmult_binary64` `distribute-rgt-out--_binary64`
9×	`mul-1-neg_binary64`
8×	`associate-+l-_binary64`
7×	`unpow1/3_binary64` `distribute-rgt1-in_binary64`
4×	`pow-plus_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `rem-exp-log_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `exp-neg_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `remove-double-neg_binary64` `*-inverses_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` `pow-base-0_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate--l-_binary64`

Counts

196 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	5311
1	897	4489
2	3410	4348
3	4319	4348
4	4980	4348

prune84.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	2	3
Picked	0	1	1
Done	1	2	3
Total	127	6	133

Error

Counts

133 → 6

Compiler

Compiled 2316 to 559 computations (75.9% saved)

regimes687.0ms (12.3%)

Accuracy

Total 1.1b remaining (98.8%)

Threshold costs 0b (0%)

Compiler

Compiled 8377 to 6385 computations (23.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`sub-neg_binary64` `*-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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	17	46
1	23	46
2	29	46
3	31	46
4	32	46
5	32	46

end1.0ms (0%)

Compiler: Compiled 29 to 16 computations (44.8% saved)

sample914.0ms (16.4%)

Algorithm

1×

intervals

Results

319.0ms	7998×	body	128	valid
32.0ms	746×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 188 to 142 computations (24.5% saved)

Details

analyze1.2s (21.9%)

sample25.0ms (0.4%)

simplify203.0ms (3.6%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite99.0ms (1.8%)

series259.0ms (4.6%)

simplify126.0ms (2.3%)

prune57.0ms (1%)

localize11.0ms (0.2%)

rewrite121.0ms (2.2%)

series288.0ms (5.2%)

simplify136.0ms (2.4%)

prune65.0ms (1.2%)

localize13.0ms (0.2%)

rewrite139.0ms (2.5%)

series260.0ms (4.7%)

simplify166.0ms (3%)

prune72.0ms (1.3%)

localize14.0ms (0.2%)

rewrite183.0ms (3.3%)

series237.0ms (4.2%)

simplify183.0ms (3.3%)

prune84.0ms (1.5%)

regimes687.0ms (12.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample914.0ms (16.4%)

Profiling