Details

analyze1.5s (9.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

428×	`associate-+l+_binary64`
390×	`associate--r+_binary64`
321×	`distribute-rgt-in_binary64`
315×	`associate-+r+_binary64`
291×	`distribute-lft-in_binary64`
242×	`neg-mul-1_binary64`
230×	`sub-neg_binary64`
208×	`distribute-neg-in_binary64`
193×	`cancel-sign-sub-inv_binary64`
170×	`associate--l+_binary64`
134×	`associate-+l-_binary64`
122×	`associate-+r-_binary64`
93×	`+-commutative_binary64`
80×	`neg-sub0_binary64`
60×	`distribute-rgt-neg-in_binary64`
48×	`associate--l-_binary64`
42×	`distribute-lft-neg-out_binary64`
31×	`associate--r-_binary64` `*-commutative_binary64`
18×	`distribute-lft-neg-in_binary64` `associate-r_binary64`
15×	`unsub-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_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` `times-frac_binary64` `div-sub_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_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` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	496
1	362	496
2	1167	496
3	4955	496
4	5034	496
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample43.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
9.0ms	168×	body	128	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

950×	`unsub-neg_binary64`
498×	`neg-sub0_binary64`
474×	`distribute-neg-in_binary64`
463×	`associate--l-_binary64`
362×	`associate--r-_binary64`
356×	`neg-mul-1_binary64`
354×	`+-commutative_binary64`
308×	`sub-neg_binary64`
286×	`*-commutative_binary64`
279×	`cancel-sign-sub-inv_binary64`
238×	`distribute-lft-neg-in_binary64`
208×	`distribute-neg-out_binary64`
193×	`distribute-rgt-out--_binary64`
186×	`distribute-rgt-in_binary64`
174×	`distribute-lft-neg-out_binary64`
155×	`associate-+l+_binary64`
152×	`remove-double-neg_binary64`
142×	`mul-1-neg_binary64`
139×	`associate-+r+_binary64`
132×	`distribute-lft-in_binary64`
131×	`distribute-lft-out--_binary64`
125×	`distribute-rgt-neg-in_binary64`
121×	`associate--r+_binary64`
106×	`distribute-lft-out_binary64`
105×	`distribute-rgt-out_binary64`
91×	`distribute-rgt-neg-out_binary64`
77×	`associate--l+_binary64`
72×	`--rgt-identity_binary64`
71×	`*-lft-identity_binary64`
69×	`sub0-neg_binary64`
67×	`associate-+l-_binary64`
66×	`associate-l_binary64`
59×	`*-rgt-identity_binary64` `associate-+r-_binary64`
39×	`associate-r_binary64`
28×	`+-rgt-identity_binary64`
17×	`mul0-rgt_binary64`
16×	`mul0-lft_binary64`
5×	`+-lft-identity_binary64`
1×	`1-exp_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` `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` `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	19	31
1	49	31
2	135	31
3	417	31
4	1392	31
5	3169	31
6	3894	31
7	4473	31
8	4695	31
9	4682	31
10	4651	31
11	4954	31

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

0.0b

Counts

1 → 1

Compiler

Compiled 21 to 19 computations (9.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 (-.f64 y 1) z))
0.0b	(*.f64 (-.f64 y 1) z)
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))

rewrite120.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
11×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `flip3--_binary64` `associate-*l/_binary64` `flip--_binary64`
6×	`associate-r_binary64`
4×	`diff-log_binary64` `frac-sub_binary64`
3×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`associate--l+_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`associate--l-_binary64` `distribute-lft-out_binary64` `difference-of-sqr-1_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
7.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
7.0ms	(*.f64 (-.f64 y 1) z)
4.0ms	(-.f64 x (*.f64 (-.f64 y 1) z))

Compiler

Compiled 2299 to 1395 computations (39.3% saved)

series209.0ms (1.3%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

72.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
34.0ms	(-.f64 x (*.f64 (-.f64 y 1) z))
34.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
20.0ms	(*.f64 (-.f64 y 1) z)

Compiler

Compiled 2783 to 2222 computations (20.2% saved)

simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

303×	`unsub-neg_binary64`
302×	`associate-+r+_binary64`
264×	`+-commutative_binary64`
256×	`associate-+l+_binary64`
186×	`neg-sub0_binary64`
177×	`neg-mul-1_binary64` `cancel-sign-sub-inv_binary64`
166×	`distribute-rgt-neg-in_binary64`
157×	`exp-sum_binary64`
141×	`distribute-rgt-in_binary64`
138×	`associate-l_binary64`
136×	`distribute-lft-in_binary64`
133×	`distribute-lft-neg-in_binary64`
129×	`exp-prod_binary64` `associate--l+_binary64`
126×	`associate-r_binary64`
114×	`*-commutative_binary64`
98×	`associate--r+_binary64`
95×	`sub-neg_binary64`
93×	`exp-diff_binary64`
85×	`associate-+r-_binary64`
63×	`distribute-neg-in_binary64`
51×	`distribute-rgt-out_binary64` `associate-+l-_binary64`
46×	`sqr-pow_binary64`
40×	`distribute-lft-neg-out_binary64`
32×	`*-rgt-identity_binary64`
31×	`*-lft-identity_binary64`
26×	`cube-prod_binary64`
24×	`times-frac_binary64`
20×	`log-prod_binary64`
19×	`distribute-lft-out_binary64`
18×	`div-exp_binary64`
16×	`distribute-rgt-neg-out_binary64`
14×	`unswap-sqr_binary64`
12×	`swap-sqr_binary64`
11×	`unpow3_binary64`
10×	`rec-exp_binary64` `mul-1-neg_binary64`
9×	`cube-mult_binary64`
6×	`difference-of-squares_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64`
5×	`div-sub_binary64` `distribute-lft1-in_binary64` `associate-/r*_binary64`
4×	`cube-unmult_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
3×	`+-rgt-identity_binary64` `pow-sqr_binary64`
2×	`unpow1/2_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `difference-of-sqr--1_binary64` `distribute-rgt-out--_binary64`
1×	`exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-/l_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` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_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-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` `remove-double-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-r/_binary64`

Counts

151 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	2301
1	544	2181
2	1832	2154
3	4135	2154
4	4957	2154
5	4984	2154

prune91.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	4	127

Error

0.0b

Counts

127 → 4

Compiler

Compiled 2170 to 1005 computations (53.7% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x)) (cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (*.f64 a t))) x)))
0.5b	(cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x))
0.5b	(cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x))
0.5b	(cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x))

rewrite176.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`*-un-lft-identity_binary64`
70×	`cbrt-prod_binary64`
52×	`distribute-lft-out_binary64`
26×	`distribute-lft-out--_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`swap-sqr_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

32.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x)) (cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (*.f64 a t))) x)))
13.0ms	(cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x))
12.0ms	(cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x))
12.0ms	(cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x))

Compiler

Compiled 5963 to 664 computations (88.9% saved)

series3.2s (19.9%)

Error

0.0b

Counts

4 → 125

Calls

4 calls:

1.6s	(.f64 (cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x)) (cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (*.f64 a t))) x)))
463.0ms	(cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x))
459.0ms	(cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x))
456.0ms	(cbrt.f64 (+.f64 (-.f64 (+.f64 a z) (+.f64 (.f64 z y) (.f64 a t))) x))

Compiler

Compiled 48520 to 31250 computations (35.6% saved)

simplify278.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

722×	`associate-/l*_binary64`
383×	`*-commutative_binary64`
170×	`cancel-sign-sub-inv_binary64`
165×	`sub-neg_binary64`
141×	`associate-r_binary64`
138×	`+-commutative_binary64`
107×	`sqr-pow_binary64`
94×	`associate-*r/_binary64`
88×	`distribute-rgt-out_binary64`
84×	`times-frac_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
75×	`associate-+r+_binary64`
74×	`distribute-neg-in_binary64`
72×	`distribute-lft-out_binary64`
63×	`neg-mul-1_binary64` `neg-sub0_binary64`
50×	`distribute-rgt-in_binary64`
46×	`distribute-lft-in_binary64`
44×	`distribute-rgt-neg-in_binary64`
40×	`distribute-lft-neg-in_binary64`
38×	`exp-prod_binary64`
35×	`associate--l+_binary64`
28×	`associate-l_binary64`
27×	`associate--r+_binary64`
25×	`unpow1/3_binary64`
18×	`log-prod_binary64`
16×	`unswap-sqr_binary64`
14×	`unpow2_binary64` `unpow1_binary64`
11×	`distribute-lft-out--_binary64`
9×	`log-div_binary64`
8×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
6×	`log-pow_binary64`
4×	`log-rec_binary64` `cube-unmult_binary64` `remove-double-neg_binary64`
3×	`distribute-lft1-in_binary64`
2×	`unpow3_binary64` `cube-mult_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64`
1×	`1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--l-_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` `pow-base-0_binary64` `unpow1/2_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` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate-+l+_binary64`

Counts

242 → 217

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	864	17107
1	2943	15665
2	5382	15665

prune244.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	216	5	221

Error

Counts

221 → 5

Compiler

Compiled 14941 to 4944 computations (66.9% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))))) (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t))))))))
0.5b	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t)))))))
0.5b	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t)))))))
0.5b	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t)))))))

rewrite374.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

420×	`cbrt-div_binary64`
148×	`frac-times_binary64`
126×	`flip3-+_binary64` `flip-+_binary64`
50×	`associate-l/_binary64` `associate-r/_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64` `cbrt-prod_binary64`
9×	`pow1/3_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 165

Calls

4 calls:

27.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t)))))))
22.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t)))))))
22.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t)))))))
11.0ms	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))))) (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t))))))))

Compiler

Compiled 29314 to 2318 computations (92.1% saved)

series5.6s (35%)

Error

Counts

4 → 88

Calls

4 calls:

3.1s	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))))) (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t))))))))
759.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t)))))))
756.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t)))))))
751.0ms	(cbrt.f64 (.f64 (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (.f64 a t))))) (cbrt.f64 (+.f64 x (-.f64 (+.f64 z a) (+.f64 (.f64 z y) (*.f64 a t)))))))

Compiler

Compiled 62018 to 38652 computations (37.7% saved)

simplify488.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

798×	`associate-/l*_binary64`
581×	`associate-/r*_binary64`
305×	`*-commutative_binary64`
104×	`sub-neg_binary64`
100×	`+-commutative_binary64`
98×	`associate-*r/_binary64`
92×	`cancel-sign-sub-inv_binary64`
90×	`times-frac_binary64` `associate-/r/_binary64`
89×	`sqr-pow_binary64`
65×	`associate-r_binary64` `associate-+r+_binary64`
47×	`distribute-neg-in_binary64`
45×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
39×	`distribute-rgt-neg-in_binary64`
36×	`exp-prod_binary64`
35×	`distribute-lft-neg-in_binary64`
31×	`distribute-lft-out_binary64`
22×	`log-prod_binary64`
20×	`associate--l+_binary64`
16×	`distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
14×	`unpow2_binary64` `unpow1_binary64`
12×	`log-pow_binary64` `distribute-lft-neg-out_binary64`
9×	`unswap-sqr_binary64`
8×	`log-div_binary64` `cancel-sign-sub_binary64`
5×	`cube-unmult_binary64` `associate-l_binary64`
4×	`log-rec_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`rem-3cbrt-lft_binary64`
2×	`rem-3cbrt-rft_binary64` `rem-sqrt-square_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_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` `unpow1/3_binary64` `unpow1/2_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` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-*l/_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

253 → 230

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	782	32350
1	2349	30653
2	5352	30653

prune260.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	230	5	235

Error

Counts

235 → 5

Compiler

Compiled 22701 to 5248 computations (76.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 a x) (-.f64 z (.f64 z y))) (.f64 (-.f64 (+.f64 y t) 2) b))
0.0b	(+.f64 (+.f64 a x) (-.f64 z (*.f64 z y)))
0.0b	(-.f64 z (*.f64 z y))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)

rewrite141.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-log-exp_binary64`
24×	`frac-add_binary64`
17×	`sum-log_binary64`
16×	`*-un-lft-identity_binary64`
14×	`flip3--_binary64` `associate-*l/_binary64` `flip--_binary64`
10×	`add-sqr-sqrt_binary64` `flip3-+_binary64` `flip-+_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
5×	`diff-log_binary64`
4×	`distribute-lft-out_binary64`
3×	`associate-r_binary64`
2×	`distribute-lft-out--_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `*-commutative_binary64` `associate-+l-_binary64`

Counts

4 → 88

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (+.f64 a x) (-.f64 z (.f64 z y))) (.f64 (-.f64 (+.f64 y t) 2) b))
11.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
8.0ms	(+.f64 (+.f64 a x) (-.f64 z (*.f64 z y)))
3.0ms	(-.f64 z (*.f64 z y))

Compiler

Compiled 3284 to 916 computations (72.1% saved)

series250.0ms (1.6%)

Error

Counts

4 → 84

Calls

4 calls:

110.0ms	(+.f64 (+.f64 (+.f64 a x) (-.f64 z (.f64 z y))) (.f64 (-.f64 (+.f64 y t) 2) b))
44.0ms	(+.f64 (+.f64 a x) (-.f64 z (*.f64 z y)))
32.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
17.0ms	(-.f64 z (*.f64 z y))

Compiler

Compiled 2606 to 2095 computations (19.6% saved)

simplify168.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

547×	`distribute-rgt-in_binary64`
534×	`distribute-lft-in_binary64`
245×	`*-commutative_binary64`
238×	`associate-l_binary64`
204×	`associate-r_binary64`
171×	`cancel-sign-sub-inv_binary64`
158×	`sub-neg_binary64`
127×	`associate-+l+_binary64`
125×	`+-commutative_binary64`
108×	`exp-sum_binary64`
100×	`associate-+r+_binary64`
97×	`distribute-neg-in_binary64`
78×	`associate--l+_binary64`
77×	`exp-prod_binary64`
75×	`distribute-lft-neg-out_binary64`
53×	`distribute-rgt-neg-out_binary64`
48×	`neg-sub0_binary64`
43×	`neg-mul-1_binary64`
42×	`sqr-pow_binary64`
34×	`exp-diff_binary64` `unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
25×	`associate--r+_binary64`
24×	`log-prod_binary64`
22×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
19×	`prod-exp_binary64`
13×	`associate-+r-_binary64`
12×	`unpow3_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
10×	`cube-mult_binary64` `cube-prod_binary64`
9×	`associate-+l-_binary64`
8×	`times-frac_binary64` `mul-1-neg_binary64`
7×	`distribute-lft-out_binary64`
6×	`difference-of-squares_binary64` `swap-sqr_binary64`
5×	`div-exp_binary64` `+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
4×	`distribute-rgt-out_binary64` `associate-*r/_binary64` `associate--r-_binary64`
3×	`remove-double-neg_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64` `associate--l-_binary64`
2×	`pow-plus_binary64` `exp-lft-sqr_binary64` `exp-neg_binary64` `pow-sqr_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-unmult_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_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` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_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` `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` `div-sub_binary64` `/-rgt-identity_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-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64`

Counts

172 → 142

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	4527
1	906	4401
2	4112	4398
3	4865	4398
4	4990	4398

prune108.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	142	5	147

Error

Counts

147 → 5

Compiler

Compiled 2867 to 1111 computations (61.2% saved)

regimes922.0ms (5.8%)

Accuracy

Total 0.0b remaining (28.2%)

Threshold costs 0.0b (28.2%)

Compiler

Compiled 15279 to 11016 computations (27.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
13×	`sub-neg_binary64`
11×	`*-commutative_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_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` `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` `remove-double-neg_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` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	43	31
2	67	31
3	85	31
4	99	31
5	103	31
6	99	31

end1.0ms (0%)

Compiler: Compiled 21 to 19 computations (9.5% saved)

sample1.4s (9.1%)

Algorithm

1×

intervals

Results

455.0ms	7999×	body	128	valid
259.0ms	4645×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 298 to 176 computations (40.9% saved)

Details

analyze1.5s (9.7%)

sample43.0ms (0.3%)

simplify114.0ms (0.7%)

prune2.0ms (0%)

localize18.0ms (0.1%)

rewrite120.0ms (0.7%)

series209.0ms (1.3%)

simplify130.0ms (0.8%)

prune91.0ms (0.6%)

localize24.0ms (0.1%)

rewrite176.0ms (1.1%)

series3.2s (19.9%)

simplify278.0ms (1.7%)

prune244.0ms (1.5%)

localize40.0ms (0.3%)

rewrite374.0ms (2.3%)

series5.6s (35%)

simplify488.0ms (3.1%)

prune260.0ms (1.6%)

localize13.0ms (0.1%)

rewrite141.0ms (0.9%)

series250.0ms (1.6%)

simplify168.0ms (1.1%)

prune108.0ms (0.7%)

regimes922.0ms (5.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end1.0ms (0%)

sample1.4s (9.1%)

Profiling