Details

analyze224.0ms (4.5%)

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)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify62.0ms (1.2%)

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 (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize20.0ms (0.4%)

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))))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite166.0ms (3.3%)

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)

series222.0ms (4.5%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

85.0ms	(+.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))))))
55.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
27.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
14.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2738 to 2122 computations (22.5% saved)

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

853×	`distribute-rgt-in_binary64`
794×	`distribute-lft-in_binary64`
246×	`associate-l_binary64`
219×	`cancel-sign-sub-inv_binary64`
204×	`associate-r_binary64`
122×	`distribute-rgt-neg-in_binary64`
109×	`*-commutative_binary64`
104×	`distribute-lft-neg-in_binary64`
95×	`unswap-sqr_binary64`
82×	`distribute-rgt-out_binary64`
69×	`sqr-pow_binary64`
63×	`exp-prod_binary64`
54×	`+-commutative_binary64`
48×	`distribute-lft-out_binary64`
42×	`log-prod_binary64`
37×	`associate-+r+_binary64`
36×	`sub-neg_binary64`
35×	`distribute-neg-in_binary64`
32×	`associate-+l+_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` `associate--l+_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`
8×	`unsub-neg_binary64`
7×	`log-pow_binary64`
6×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-lft-out--_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

130 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2872
1	500	2571
2	1660	2516
3	5340	2516

prune106.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	4	103

Error

Counts

103 → 4

Compiler

Compiled 2275 to 1251 computations (45% saved)

localize23.0ms (0.5%)

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))
0.5b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
1.8b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))

rewrite231.0ms (4.7%)

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:

19.0ms	(+.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)

series275.0ms (5.5%)

Error

Counts

4 → 53

Calls

4 calls:

82.0ms	(+.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))))
74.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
49.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
27.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 3168 to 2590 computations (18.2% saved)

simplify166.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

475×	`cancel-sign-sub-inv_binary64`
396×	`associate-l_binary64`
356×	`associate-r_binary64`
252×	`distribute-rgt-neg-in_binary64`
243×	`exp-prod_binary64`
226×	`distribute-rgt-in_binary64`
221×	`*-commutative_binary64`
213×	`distribute-lft-in_binary64`
173×	`unswap-sqr_binary64`
96×	`distribute-neg-in_binary64`
93×	`+-commutative_binary64`
92×	`sub-neg_binary64`
76×	`sqr-pow_binary64`
71×	`distribute-lft-neg-out_binary64` `associate-+l+_binary64`
64×	`associate-+r+_binary64`
60×	`cube-prod_binary64`
53×	`exp-sum_binary64`
52×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
47×	`distribute-rgt-neg-out_binary64`
42×	`log-prod_binary64`
38×	`swap-sqr_binary64`
35×	`distribute-lft-neg-in_binary64`
32×	`associate--l+_binary64`
29×	`unpow3_binary64`
27×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
26×	`*-lft-identity_binary64`
24×	`unsub-neg_binary64`
16×	`pow-plus_binary64` `cube-mult_binary64`
15×	`associate--r+_binary64`
12×	`prod-exp_binary64`
11×	`distribute-lft-out_binary64`
8×	`pow-sqr_binary64`
7×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
6×	`exp-lft-sqr_binary64`
4×	`log-pow_binary64` `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

136 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	4719
1	740	4416
2	3051	4398
3	4850	4398
4	4995	4398

prune140.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	107	4	111

Error

Counts

111 → 4

Compiler

Compiled 3187 to 2103 computations (34% saved)

localize14.0ms (0.3%)

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))
0.5b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

rewrite208.0ms (4.2%)

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)

series146.0ms (2.9%)

Error

Counts

4 → 37

Calls

4 calls:

62.0ms	(+.f64 (+.f64 (pow.f64 b 4) (.f64 (pow.f64 a 3) (+.f64 4 a))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
26.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
15.0ms	(*.f64 (pow.f64 a 3) (+.f64 4 a))
12.0ms	(-.f64 4 (*.f64 a 12))

Compiler

Compiled 1506 to 1268 computations (15.8% saved)

simplify127.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

394×	`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`
64×	`sub-neg_binary64`
60×	`distribute-neg-in_binary64` `+-commutative_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`
42×	`associate-+l+_binary64`
40×	`exp-sum_binary64`
38×	`associate-+r+_binary64`
28×	`associate--l+_binary64`
23×	`pow-plus_binary64` `*-rgt-identity_binary64`
22×	`*-lft-identity_binary64`
21×	`unsub-neg_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

131 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2738
1	605	2606
2	2726	2570
3	4646	2570
4	5028	2570

prune126.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	101	4	105

Error

Counts

105 → 4

Compiler

Compiled 2128 to 1520 computations (28.6% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
0.5b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)

rewrite170.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
16×	`pow1_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `associate-r_binary64`
8×	`pow1/3_binary64`
7×	`associate-l_binary64`
6×	`swap-sqr_binary64`
5×	`pow-prod-down_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-r/_binary64` `-commutative_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`flip3--_binary64` `flip--_binary64` `pow2_binary64` `pow-plus_binary64`

Counts

4 → 87

Calls

4 calls:

7.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
6.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

Compiler

Compiled 2805 to 1648 computations (41.2% saved)

series104.0ms (2.1%)

Error

Counts

4 → 17

Calls

4 calls:

28.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
20.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
18.0ms	(cbrt.f64 a)
17.0ms	(cbrt.f64 a)

Compiler

Compiled 1289 to 1008 computations (21.8% saved)

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

353×	`exp-prod_binary64`
342×	`neg-mul-1_binary64`
339×	`neg-sub0_binary64`
310×	`*-commutative_binary64`
309×	`distribute-rgt-neg-in_binary64`
291×	`distribute-lft-neg-in_binary64`
185×	`unswap-sqr_binary64`
178×	`associate-l_binary64`
153×	`cancel-sign-sub-inv_binary64`
150×	`log-prod_binary64`
149×	`associate-r_binary64`
134×	`distribute-rgt-in_binary64`
133×	`distribute-lft-in_binary64`
123×	`associate-+l+_binary64`
118×	`associate-+r+_binary64`
109×	`sqr-pow_binary64`
104×	`distribute-lft-neg-out_binary64`
100×	`distribute-rgt-neg-out_binary64`
97×	`cube-prod_binary64`
77×	`+-commutative_binary64`
61×	`unsub-neg_binary64`
52×	`swap-sqr_binary64`
38×	`exp-sum_binary64`
34×	`log-pow_binary64`
33×	`associate-/l*_binary64`
31×	`unpow3_binary64`
30×	`sub-neg_binary64`
28×	`exp-diff_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
27×	`rem-sqrt-square_binary64` `pow-sqr_binary64`
22×	`pow-plus_binary64` `cube-mult_binary64`
18×	`div-sub_binary64`
15×	`cube-unmult_binary64`
12×	`distribute-lft-out_binary64` `associate-/r*_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-rgt-out_binary64` `count-2_binary64`
8×	`unpow1/2_binary64` `sqr-neg_binary64`
7×	`times-frac_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
6×	`unpow2_binary64` `exp-neg_binary64`
5×	`associate-/r/_binary64`
4×	`sub0-neg_binary64` `distribute-rgt-out--_binary64`
3×	`unpow1/3_binary64` `unpow1_binary64`
2×	`cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `mul-1-neg_binary64` `associate-+r-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_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-rec_binary64` `log-div_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

104 → 72

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	122	1194
1	265	1061
2	886	1041
3	2060	1027
4	4035	955
5	4975	955

prune66.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	72	4	76

Error

Counts

76 → 4

Compiler

Compiled 1253 to 805 computations (35.8% saved)

regimes1.0s (20.4%)

Accuracy

Total 0.0b remaining (76.2%)

Threshold costs 0.0b (76.2%)

Compiler

Compiled 18380 to 13958 computations (24.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `neg-mul-1_binary64` `neg-sub0_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	20	46
1	34	46
2	35	46
3	33	46

end1.0ms (0%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

sample1.1s (22.8%)

Algorithm

1×

intervals

Results

722.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 185 to 145 computations (21.6% saved)

Details

analyze224.0ms (4.5%)

sample25.0ms (0.5%)

simplify62.0ms (1.2%)

prune3.0ms (0.1%)

localize20.0ms (0.4%)

rewrite166.0ms (3.3%)

series222.0ms (4.5%)

simplify88.0ms (1.8%)

prune106.0ms (2.1%)

localize23.0ms (0.5%)

rewrite231.0ms (4.7%)

series275.0ms (5.5%)

simplify166.0ms (3.3%)

prune140.0ms (2.8%)

localize14.0ms (0.3%)

rewrite208.0ms (4.2%)

series146.0ms (2.9%)

simplify127.0ms (2.6%)

prune126.0ms (2.5%)

localize18.0ms (0.4%)

rewrite170.0ms (3.4%)

series104.0ms (2.1%)

simplify88.0ms (1.8%)

prune66.0ms (1.3%)

regimes1.0s (20.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.1s (22.8%)

Profiling