Details

analyze406.0ms (4%)

Algorithm

1×	search
2×	egg-herbie

Rules

478×	`sub-neg_binary64`
434×	`distribute-rgt-in_binary64` `associate-+l+_binary64`
406×	`associate-l_binary64`
374×	`associate-+r+_binary64`
354×	`associate--l+_binary64`
350×	`*-commutative_binary64`
326×	`associate-r_binary64`
291×	`distribute-lft-in_binary64`
286×	`distribute-rgt-out_binary64`
280×	`neg-mul-1_binary64`
244×	`unsub-neg_binary64`
194×	`neg-sub0_binary64`
142×	`associate-+l-_binary64`
130×	`+-commutative_binary64`
119×	`distribute-rgt-neg-out_binary64`
118×	`distribute-lft-neg-out_binary64`
112×	`distribute-lft-out_binary64`
93×	`cancel-sign-sub-inv_binary64`
84×	`associate-+r-_binary64`
58×	`associate--r+_binary64`
40×	`distribute-rgt-neg-in_binary64`
38×	`unswap-sqr_binary64`
29×	`distribute-lft-neg-in_binary64`
22×	`associate--r-_binary64`
20×	`*-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
18×	`distribute-neg-in_binary64`
14×	`sqr-pow_binary64`
8×	`difference-of-sqr--1_binary64`
7×	`pow-plus_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64`
5×	`cube-unmult_binary64`
4×	`difference-of-sqr-1_binary64`
2×	`unpow2_binary64` `mul-1-neg_binary64` `sub0-neg_binary64`
1×	`unpow3_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `cube-prod_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_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` `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` `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-mult_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-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_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` `pow-sqr_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-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	31	92
1	100	92
2	254	92
3	765	92
4	2201	92
5	4207	92
6	4979	92
7	5012	92
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
373×	`neg-mul-1_binary64` `neg-sub0_binary64`
340×	`+-commutative_binary64`
277×	`sub-neg_binary64`
242×	`distribute-rgt-neg-in_binary64`
232×	`associate-+l+_binary64`
220×	`*-commutative_binary64`
212×	`associate-l_binary64`
192×	`associate-+r+_binary64`
188×	`associate--l+_binary64`
185×	`associate-r_binary64`
174×	`distribute-rgt-in_binary64`
149×	`distribute-rgt-out_binary64`
147×	`distribute-lft-in_binary64`
146×	`distribute-neg-in_binary64`
134×	`distribute-lft-neg-out_binary64`
113×	`distribute-rgt-neg-out_binary64`
84×	`unswap-sqr_binary64`
72×	`associate-+l-_binary64`
66×	`cancel-sign-sub_binary64`
45×	`associate-+r-_binary64`
38×	`distribute-lft-out_binary64` `associate--r+_binary64`
27×	`*-rgt-identity_binary64`
26×	`distribute-lft-neg-in_binary64`
20×	`*-lft-identity_binary64`
19×	`sqr-pow_binary64`
11×	`associate--r-_binary64`
10×	`sub0-neg_binary64`
9×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`+-rgt-identity_binary64` `difference-of-sqr--1_binary64`
6×	`cube-unmult_binary64` `swap-sqr_binary64`
5×	`rem-sqrt-square_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`
4×	`distribute-neg-out_binary64`
3×	`unpow2_binary64` `cube-prod_binary64`
2×	`mul-1-neg_binary64`
1×	`unpow3_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt1-in_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` `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` `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-mult_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-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` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	61	46
2	152	46
3	438	46
4	1297	46
5	2508	46
6	4605	46
7	5029	46

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite168.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
3×	`unpow-prod-down_binary64` `pow-unpow_binary64`
2×	`unswap-sqr_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-l_binary64` `*-commutative_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`flip3--_binary64` `flip--_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `distribute-lft-out_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
4.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3109 to 1674 computations (46.2% saved)

series245.0ms (2.4%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

95.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
57.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
31.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
15.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2942 to 2287 computations (22.3% saved)

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

853×	`distribute-rgt-in_binary64`
794×	`distribute-lft-in_binary64`
274×	`cancel-sign-sub-inv_binary64`
246×	`associate-l_binary64`
204×	`associate-r_binary64`
122×	`distribute-rgt-neg-in_binary64`
109×	`*-commutative_binary64`
104×	`distribute-lft-neg-in_binary64`
95×	`unswap-sqr_binary64`
85×	`distribute-rgt-out_binary64`
71×	`+-commutative_binary64`
69×	`sqr-pow_binary64`
63×	`exp-prod_binary64`
58×	`associate-+r+_binary64`
55×	`distribute-lft-out_binary64`
49×	`associate-+l+_binary64`
43×	`sub-neg_binary64`
42×	`log-prod_binary64`
36×	`associate--l+_binary64`
35×	`distribute-neg-in_binary64`
31×	`distribute-lft-neg-out_binary64`
29×	`neg-sub0_binary64`
28×	`neg-mul-1_binary64` `*-lft-identity_binary64`
27×	`exp-sum_binary64`
23×	`cube-prod_binary64`
22×	`*-rgt-identity_binary64`
20×	`distribute-rgt-out--_binary64`
19×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
12×	`cube-unmult_binary64` `pow-sqr_binary64`
9×	`pow-plus_binary64` `unsub-neg_binary64`
8×	`distribute-lft-out--_binary64`
7×	`log-pow_binary64`
6×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
5×	`cube-mult_binary64`
2×	`exp-diff_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate--r+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `difference-of-squares_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` `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` `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-div_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-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` `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-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

134 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	3017
1	533	2701
2	1756	2616
3	5452	2616

prune100.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	3	107

Error

0.0b

Counts

107 → 3

Compiler

Compiled 2269 to 1247 computations (45% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (.f64 4 (+.f64 1 a)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
0.8b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
1.0b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))

rewrite222.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-log-exp_binary64`
14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64` `associate-*r/_binary64`
7×	`sum-log_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `-un-lft-identity_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-r*_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64` `frac-add_binary64` `associate-+r+_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-+l+_binary64`
2×	`unswap-sqr_binary64` `associate-l_binary64` `*-commutative_binary64` `+-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

20.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (.f64 4 (+.f64 1 a)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
13.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
11.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
7.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 4436 to 2844 computations (35.9% saved)

series298.0ms (3%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

94.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (.f64 4 (+.f64 1 a)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
77.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
52.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
32.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 3378 to 2762 computations (18.2% saved)

simplify201.0ms (2%)

Algorithm

1×	egg-herbie

Rules

501×	`cancel-sign-sub-inv_binary64`
396×	`associate-l_binary64`
356×	`associate-r_binary64`
252×	`distribute-rgt-neg-in_binary64`
226×	`distribute-rgt-in_binary64`
221×	`*-commutative_binary64`
213×	`distribute-lft-in_binary64`
173×	`unswap-sqr_binary64`
108×	`+-commutative_binary64`
104×	`distribute-neg-in_binary64`
99×	`sub-neg_binary64`
86×	`associate-+l+_binary64`
83×	`associate-+r+_binary64`
80×	`exp-prod_binary64`
76×	`sqr-pow_binary64`
71×	`distribute-lft-neg-out_binary64`
61×	`exp-sum_binary64`
60×	`cube-prod_binary64`
52×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
47×	`distribute-rgt-neg-out_binary64`
46×	`associate--l+_binary64`
42×	`log-prod_binary64`
38×	`swap-sqr_binary64`
35×	`distribute-lft-neg-in_binary64`
29×	`unpow3_binary64`
28×	`unsub-neg_binary64`
27×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
26×	`*-lft-identity_binary64`
17×	`pow-plus_binary64`
16×	`cube-mult_binary64`
15×	`associate--r+_binary64`
12×	`prod-exp_binary64`
11×	`distribute-lft-out_binary64`
8×	`pow-sqr_binary64` `distribute-rgt-out--_binary64`
7×	`difference-of-squares_binary64`
6×	`log-pow_binary64` `exp-lft-sqr_binary64`
4×	`unpow1/2_binary64` `exp-diff_binary64` `distribute-lft-out--_binary64`
3×	`associate-+l-_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `cube-unmult_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `div-sub_binary64` `distribute-lft1-in_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` `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-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-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` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-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` `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` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

140 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	4855
1	772	4528
2	3139	4510
3	4977	4510
4	4995	4510
5	4931	4510

prune135.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Error

Counts

114 → 4

Compiler

Compiled 3315 to 2185 computations (34.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 4 (*.f64 a 12))
0.0b	(+.f64 (+.f64 (pow.f64 b 4) (.f64 (pow.f64 a 3) (+.f64 4 a))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
0.1b	(*.f64 (pow.f64 a 3) (+.f64 4 a))
0.8b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

rewrite224.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64`
13×	`associate-l_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`associate-*r/_binary64`
7×	`associate-r_binary64`
6×	`prod-exp_binary64`
5×	`unswap-sqr_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64`
4×	`cbrt-unprod_binary64` `flip3--_binary64` `flip--_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `flip3-+_binary64` `flip-+_binary64` `frac-add_binary64` `associate-+r+_binary64`
3×	`pow-prod-down_binary64` `sum-log_binary64`
2×	`*-commutative_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `+-commutative_binary64` `diff-log_binary64`

Counts

4 → 94

Calls

4 calls:

9.0ms	(+.f64 (+.f64 (pow.f64 b 4) (.f64 (pow.f64 a 3) (+.f64 4 a))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
8.0ms	(*.f64 (pow.f64 a 3) (+.f64 4 a))
7.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
3.0ms	(-.f64 4 (*.f64 a 12))

Compiler

Compiled 3057 to 2193 computations (28.3% saved)

series159.0ms (1.6%)

Error

Counts

4 → 40

Calls

4 calls:

69.0ms	(+.f64 (+.f64 (pow.f64 b 4) (.f64 (pow.f64 a 3) (+.f64 4 a))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
30.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
17.0ms	(*.f64 (pow.f64 a 3) (+.f64 4 a))
11.0ms	(-.f64 4 (*.f64 a 12))

Compiler

Compiled 1585 to 1335 computations (15.8% saved)

simplify127.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

401×	`cancel-sign-sub-inv_binary64`
349×	`exp-prod_binary64`
340×	`associate-l_binary64`
308×	`associate-r_binary64`
267×	`unswap-sqr_binary64`
240×	`distribute-rgt-neg-in_binary64`
206×	`distribute-rgt-in_binary64`
199×	`distribute-lft-neg-in_binary64`
196×	`distribute-lft-in_binary64`
159×	`*-commutative_binary64`
147×	`log-prod_binary64`
122×	`distribute-rgt-out_binary64`
75×	`sqr-pow_binary64`
74×	`cube-prod_binary64`
68×	`distribute-lft-neg-out_binary64`
66×	`sub-neg_binary64`
64×	`+-commutative_binary64`
60×	`distribute-neg-in_binary64`
49×	`distribute-rgt-out--_binary64`
45×	`unpow3_binary64` `neg-sub0_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
44×	`neg-mul-1_binary64`
43×	`associate-+l+_binary64`
40×	`exp-sum_binary64`
38×	`associate-+r+_binary64`
33×	`associate--l+_binary64`
23×	`pow-plus_binary64` `*-rgt-identity_binary64`
22×	`unsub-neg_binary64` `*-lft-identity_binary64`
17×	`log-pow_binary64`
10×	`cube-mult_binary64`
9×	`pow-sqr_binary64`
8×	`difference-of-squares_binary64`
7×	`associate--r+_binary64`
5×	`prod-exp_binary64`
4×	`unpow1/2_binary64` `exp-diff_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64`
3×	`distribute-lft-out_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `div-sub_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` `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` `exp-neg_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` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-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` `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` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

134 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2834
1	613	2684
2	2738	2648
3	4658	2648
4	5040	2648

prune133.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 2213 to 1578 computations (28.7% saved)

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))))
1.9b	(.f64 (.f64 (.f64 b b) (-.f64 64 (pow.f64 (.f64 a 12) 3))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4))))) (pow.f64 a 4))))
2.0b	(.f64 (.f64 b b) (-.f64 64 (pow.f64 (*.f64 a 12) 3)))
40.2b	(/.f64 (+.f64 (.f64 (+.f64 16 (+.f64 (.f64 a (.f64 144 a)) (.f64 a 48))) (-.f64 (pow.f64 b 8) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))))))) (.f64 (.f64 (.f64 b b) (-.f64 64 (pow.f64 (.f64 a 12) 3))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 4))))) (.f64 (+.f64 16 (+.f64 (.f64 a (.f64 144 a)) (.f64 a 48))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 4)))))

rewrite1.3s (12.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

102×	`associate-*r/_binary64`
82×	`flip3--_binary64` `flip--_binary64`
76×	`frac-times_binary64`
66×	`associate-/l/_binary64`
64×	`frac-add_binary64`
38×	`associate-*l/_binary64`
36×	`add-exp-log_binary64`
34×	`flip3-+_binary64` `flip-+_binary64`
28×	`add-cbrt-cube_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`cancel-sign-sub-inv_binary64`
19×	`prod-exp_binary64`
18×	`pow1_binary64` `*-un-lft-identity_binary64`
17×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
14×	`add-cube-cbrt_binary64` `associate-r_binary64`
13×	`cbrt-unprod_binary64`
9×	`pow-prod-down_binary64` `associate-l_binary64`
8×	`associate-/r/_binary64`
7×	`unpow-prod-down_binary64`
6×	`sqr-pow_binary64`
5×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `sub-neg_binary64`
3×	`times-frac_binary64` `associate-/l_binary64` `-commutative_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `distribute-lft-out--_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 217

Calls

4 calls:

45.0ms	(/.f64 (+.f64 (.f64 (+.f64 16 (+.f64 (.f64 a (.f64 144 a)) (.f64 a 48))) (-.f64 (pow.f64 b 8) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))))))) (.f64 (.f64 (.f64 b b) (-.f64 64 (pow.f64 (.f64 a 12) 3))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 4))))) (.f64 (+.f64 16 (+.f64 (.f64 a (.f64 144 a)) (.f64 a 48))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 4)))))
31.0ms	(.f64 (.f64 (.f64 b b) (-.f64 64 (pow.f64 (.f64 a 12) 3))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4))))) (pow.f64 a 4))))
27.0ms	(.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))))
10.0ms	(.f64 (.f64 b b) (-.f64 64 (pow.f64 (*.f64 a 12) 3)))

Compiler

Compiled 49475 to 33069 computations (33.2% saved)

series2.0s (20.4%)

Error

Counts

4 → 57

Calls

4 calls:

1.6s	(/.f64 (+.f64 (.f64 (+.f64 16 (+.f64 (.f64 a (.f64 144 a)) (.f64 a 48))) (-.f64 (pow.f64 b 8) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))))))) (.f64 (.f64 (.f64 b b) (-.f64 64 (pow.f64 (.f64 a 12) 3))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 4))))) (.f64 (+.f64 16 (+.f64 (.f64 a (.f64 144 a)) (.f64 a 48))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))) (pow.f64 a 4)))))
143.0ms	(.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4)))) (+.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (.f64 a 4))))))
70.0ms	(.f64 (.f64 b b) (-.f64 64 (pow.f64 (*.f64 a 12) 3)))
52.0ms	(.f64 (.f64 (.f64 b b) (-.f64 64 (pow.f64 (.f64 a 12) 3))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 a (.f64 a (+.f64 (.f64 2 (.f64 b b)) (+.f64 4 (*.f64 a 4))))) (pow.f64 a 4))))

Compiler

Compiled 22750 to 18021 computations (20.8% saved)

simplify730.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

593×	`times-frac_binary64`
388×	`*-commutative_binary64`
184×	`associate-l_binary64`
183×	`associate-r_binary64`
173×	`+-commutative_binary64`
128×	`associate-+r+_binary64`
97×	`cancel-sign-sub-inv_binary64`
95×	`unswap-sqr_binary64`
73×	`distribute-rgt-in_binary64` `associate-*r/_binary64`
72×	`distribute-lft-in_binary64`
69×	`distribute-rgt-neg-in_binary64`
67×	`sqr-pow_binary64` `associate-/r*_binary64`
61×	`sub-neg_binary64`
57×	`distribute-lft-neg-in_binary64`
56×	`associate-/l*_binary64`
54×	`cube-prod_binary64`
53×	`log-prod_binary64`
43×	`neg-mul-1_binary64` `neg-sub0_binary64`
35×	`exp-prod_binary64`
33×	`distribute-neg-in_binary64`
31×	`swap-sqr_binary64`
30×	`distribute-lft-neg-out_binary64`
24×	`distribute-rgt-out_binary64`
18×	`unpow3_binary64` `distribute-rgt-neg-out_binary64`
15×	`cube-unmult_binary64` `cube-mult_binary64`
14×	`log-pow_binary64`
9×	`unpow2_binary64` `unpow1_binary64` `exp-sum_binary64`
8×	`associate--l+_binary64`
6×	`unpow1/2_binary64` `associate--r+_binary64`
5×	`pow-plus_binary64` `exp-diff_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64`
4×	`*-rgt-identity_binary64`
3×	`log-div_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate-+l+_binary64`
2×	`rem-square-sqrt_binary64` `mul-1-neg_binary64` `count-2_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `distribute-neg-frac_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-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` `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-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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` `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` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

274 → 255

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	945	33239
1	3284	31025
2	4851	30505
3	4969	30505
4	4919	30505

prune1.2s (12.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	255	0	255
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	255	4	259

Error

Counts

259 → 4

Compiler

Compiled 43097 to 29078 computations (32.5% saved)

regimes1.1s (11.1%)

Accuracy

Total 0.0b remaining (61%)

Threshold costs 0.0b (61%)

Compiler

Compiled 24054 to 17607 computations (26.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_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` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	52
1	43	52
2	53	52
3	57	52
4	59	52
5	56	52

end1.0ms (0%)

Compiler: Compiled 35 to 26 computations (25.7% saved)

sample953.0ms (9.5%)

Algorithm

1×

intervals

Results

501.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 284 to 212 computations (25.4% saved)

Details

analyze406.0ms (4%)

sample28.0ms (0.3%)

simplify61.0ms (0.6%)

prune3.0ms (0%)

localize16.0ms (0.2%)

rewrite168.0ms (1.7%)

series245.0ms (2.4%)

simplify90.0ms (0.9%)

prune100.0ms (1%)

localize22.0ms (0.2%)

rewrite222.0ms (2.2%)

series298.0ms (3%)

simplify201.0ms (2%)

prune135.0ms (1.3%)

localize14.0ms (0.1%)

rewrite224.0ms (2.2%)

series159.0ms (1.6%)

simplify127.0ms (1.3%)

prune133.0ms (1.3%)

localize49.0ms (0.5%)

rewrite1.3s (12.9%)

series2.0s (20.4%)

simplify730.0ms (7.3%)

prune1.2s (12.1%)

regimes1.1s (11.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample953.0ms (9.5%)

Profiling