Details

analyze96.0ms (2.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

464×	`times-frac_binary64`
407×	`neg-mul-1_binary64`
388×	`neg-sub0_binary64` `associate-/r/_binary64`
311×	`associate-/l/_binary64`
286×	`unswap-sqr_binary64`
260×	`associate-l_binary64`
251×	`associate-r_binary64`
234×	`distribute-frac-neg_binary64`
207×	`*-commutative_binary64`
200×	`cancel-sign-sub-inv_binary64`
183×	`div-sub_binary64`
176×	`sub-neg_binary64`
155×	`associate-*l/_binary64`
151×	`associate-/r*_binary64`
146×	`distribute-rgt-neg-out_binary64`
142×	`distribute-rgt-in_binary64`
141×	`unsub-neg_binary64`
126×	`associate-/l*_binary64`
124×	`distribute-neg-frac_binary64`
95×	`distribute-rgt-neg-in_binary64`
85×	`distribute-lft-in_binary64`
77×	`distribute-lft-neg-out_binary64`
66×	`distribute-lft-neg-in_binary64`
64×	`associate-*r/_binary64`
46×	`/-rgt-identity_binary64`
45×	`sqr-pow_binary64`
43×	`*-rgt-identity_binary64` `div0_binary64`
36×	`*-lft-identity_binary64`
32×	`exp-prod_binary64` `mul0-lft_binary64`
31×	`mul0-rgt_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64`
29×	`remove-double-neg_binary64` `+-lft-identity_binary64`
28×	`exp-neg_binary64`
25×	`exp-diff_binary64` `exp-sum_binary64` `cube-prod_binary64`
22×	`cancel-sign-sub_binary64`
21×	`sqr-neg_binary64`
20×	`pow-sqr_binary64`
19×	`pow-plus_binary64`
18×	`associate-+l-_binary64`
17×	`+-commutative_binary64`
16×	`distribute-neg-out_binary64`
15×	`sub0-neg_binary64` `associate--r+_binary64`
12×	`mul-1-neg_binary64`
10×	`associate-+l+_binary64`
9×	`cube-unmult_binary64`
8×	`exp-sqrt_binary64` `associate--r-_binary64`
7×	`associate--l-_binary64` `associate-+r-_binary64`
6×	`associate-+r+_binary64`
5×	`unpow3_binary64` `exp-lft-sqr_binary64`
4×	`prod-exp_binary64` `--rgt-identity_binary64` `remove-double-div_binary64` `associate--l+_binary64`
3×	`unpow2_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
2×	`unpow1_binary64` `div-exp_binary64` `cube-mult_binary64` `+-rgt-identity_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `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-cbrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	57	22
4	116	22
5	263	22
6	561	22
7	1419	22
8	3334	22
9	4405	22
10	4797	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample62.0ms (1.8%)

Algorithm

1×

intervals

Results

39.0ms	134×	body	1024	valid
8.0ms	61×	body	512	valid
3.0ms	9×	body	2048	valid
2.0ms	30×	body	256	valid
1.0ms	22×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify74.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

464×	`times-frac_binary64`
407×	`neg-mul-1_binary64`
388×	`neg-sub0_binary64` `associate-/r/_binary64`
311×	`associate-/l/_binary64`
286×	`unswap-sqr_binary64`
260×	`associate-l_binary64`
251×	`associate-r_binary64`
234×	`distribute-frac-neg_binary64`
207×	`*-commutative_binary64`
200×	`cancel-sign-sub-inv_binary64`
183×	`div-sub_binary64`
176×	`sub-neg_binary64`
155×	`associate-*l/_binary64`
151×	`associate-/r*_binary64`
146×	`distribute-rgt-neg-out_binary64`
142×	`distribute-rgt-in_binary64`
141×	`unsub-neg_binary64`
126×	`associate-/l*_binary64`
124×	`distribute-neg-frac_binary64`
95×	`distribute-rgt-neg-in_binary64`
85×	`distribute-lft-in_binary64`
77×	`distribute-lft-neg-out_binary64`
66×	`distribute-lft-neg-in_binary64`
64×	`associate-*r/_binary64`
46×	`/-rgt-identity_binary64`
45×	`sqr-pow_binary64`
43×	`*-rgt-identity_binary64` `div0_binary64`
36×	`*-lft-identity_binary64`
32×	`exp-prod_binary64` `mul0-lft_binary64`
31×	`mul0-rgt_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64`
29×	`remove-double-neg_binary64` `+-lft-identity_binary64`
28×	`exp-neg_binary64`
25×	`exp-diff_binary64` `exp-sum_binary64` `cube-prod_binary64`
22×	`cancel-sign-sub_binary64`
21×	`sqr-neg_binary64`
20×	`pow-sqr_binary64`
19×	`pow-plus_binary64`
18×	`associate-+l-_binary64`
17×	`+-commutative_binary64`
16×	`distribute-neg-out_binary64`
15×	`sub0-neg_binary64` `associate--r+_binary64`
12×	`mul-1-neg_binary64`
10×	`associate-+l+_binary64`
9×	`cube-unmult_binary64`
8×	`exp-sqrt_binary64` `associate--r-_binary64`
7×	`associate--l-_binary64` `associate-+r-_binary64`
6×	`associate-+r+_binary64`
5×	`unpow3_binary64` `exp-lft-sqr_binary64`
4×	`prod-exp_binary64` `--rgt-identity_binary64` `remove-double-div_binary64` `associate--l+_binary64`
3×	`unpow2_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
2×	`unpow1_binary64` `div-exp_binary64` `cube-mult_binary64` `+-rgt-identity_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `rgt-mult-inverse_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `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-cbrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	57	22
4	116	22
5	263	22
6	561	22
7	1419	22
8	3334	22
9	4405	22
10	4797	22

prune1.0ms (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

58.8b

Counts

1 → 1

Compiler

Compiled 13 to 7 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.2b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.1b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite61.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64`
31×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
8×	`cosh-undef_binary64` `distribute-lft-out_binary64`
7×	`sinh-undef_binary64` `add-log-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
3×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `flip--_binary64` `associate-/l/_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `tanh-undef_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

3 → 89

Calls

3 calls:

11.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1709 to 265 computations (84.5% saved)

series49.0ms (1.4%)

Error

1.1b

Counts

3 → 17

Calls

3 calls:

15.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 557 to 367 computations (34.1% saved)

simplify140.0ms (4%)

Algorithm

1×	egg-herbie

Rules

285×	`exp-prod_binary64`
270×	`cancel-sign-sub-inv_binary64`
265×	`unswap-sqr_binary64`
221×	`div-sub_binary64`
214×	`associate-l_binary64`
204×	`associate-r_binary64`
125×	`distribute-rgt-in_binary64`
123×	`log-prod_binary64`
113×	`*-commutative_binary64`
111×	`sub-neg_binary64`
110×	`distribute-lft-neg-out_binary64`
105×	`distribute-lft-in_binary64`
103×	`distribute-rgt-neg-out_binary64`
100×	`distribute-neg-frac_binary64`
93×	`associate-*l/_binary64`
91×	`associate-/l*_binary64`
83×	`+-commutative_binary64`
82×	`associate-/l/_binary64`
80×	`associate-+l+_binary64`
64×	`sqr-pow_binary64` `associate-*r/_binary64`
63×	`cube-prod_binary64` `associate-/r*_binary64`
61×	`associate-+r+_binary64`
58×	`neg-sub0_binary64`
54×	`neg-mul-1_binary64`
51×	`unsub-neg_binary64`
50×	`difference-of-squares_binary64`
45×	`unpow3_binary64`
41×	`associate-/r/_binary64`
40×	`swap-sqr_binary64`
35×	`times-frac_binary64`
32×	`distribute-frac-neg_binary64`
31×	`distribute-rgt-neg-in_binary64`
29×	`prod-exp_binary64` `*-rgt-identity_binary64` `associate-+r-_binary64`
28×	`exp-sum_binary64`
27×	`distribute-lft-neg-in_binary64`
20×	`associate-+l-_binary64`
19×	`log-div_binary64` `*-lft-identity_binary64`
18×	`exp-diff_binary64`
16×	`pow-plus_binary64`
15×	`cube-unmult_binary64` `cube-div_binary64` `distribute-neg-in_binary64`
12×	`+-rgt-identity_binary64`
11×	`div-exp_binary64` `sub0-neg_binary64` `mul0-lft_binary64`
10×	`log-pow_binary64` `pow-sqr_binary64`
9×	`rem-sqrt-square_binary64` `mul0-rgt_binary64` `associate--l+_binary64`
8×	`associate--r+_binary64`
7×	`/-rgt-identity_binary64`
6×	`difference-of-sqr--1_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
5×	`remove-double-neg_binary64` `associate--r-_binary64` `associate--l-_binary64`
4×	`rec-exp_binary64` `difference-of-sqr-1_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
3×	`cube-mult_binary64` `mul-1-neg_binary64` `distribute-neg-out_binary64`
2×	`log-rec_binary64` `unpow1_binary64` `exp-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
1×	`cosh-def_binary64` `sinh-def_binary64` `unpow2_binary64` `unpow1/2_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_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` `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` `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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Counts

106 → 50

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	2643
1	379	2467
2	886	2456
3	2527	2456
4	4524	2456
5	4914	2456

prune33.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Error

0.5b

Counts

51 → 3

Compiler

Compiled 687 to 262 computations (61.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.0b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
0.0b	(*.f64 (pow.f64 x 5) 2/15)
0.2b	(*.f64 1/3 (pow.f64 x 3))

rewrite102.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

23×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
14×	`add-exp-log_binary64`
11×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`associate-l_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`prod-exp_binary64`
4×	`pow1_binary64` `cube-prod_binary64` `sqr-pow_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64` `diff-log_binary64` `sum-log_binary64` `sub-neg_binary64` `associate-+l+_binary64` `cancel-sign-sub-inv_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 83

Calls

4 calls:

6.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
5.0ms	(*.f64 (pow.f64 x 5) 2/15)
3.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 1553 to 1223 computations (21.2% saved)

series51.0ms (1.5%)

Error

0.5b

Counts

4 → 17

Calls

4 calls:

14.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
12.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
9.0ms	(*.f64 (pow.f64 x 5) 2/15)
9.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 399 to 337 computations (15.5% saved)

simplify100.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

554×	`unswap-sqr_binary64`
488×	`cancel-sign-sub-inv_binary64`
303×	`log-prod_binary64`
295×	`*-commutative_binary64`
164×	`distribute-rgt-in_binary64`
159×	`exp-prod_binary64`
154×	`distribute-lft-in_binary64`
146×	`distribute-rgt-neg-in_binary64`
131×	`distribute-lft-neg-in_binary64`
121×	`sqr-pow_binary64`
117×	`associate-l_binary64`
109×	`associate-r_binary64`
101×	`unsub-neg_binary64`
98×	`cube-prod_binary64` `sub-neg_binary64`
95×	`neg-mul-1_binary64`
94×	`neg-sub0_binary64`
85×	`swap-sqr_binary64`
48×	`associate-+l+_binary64`
43×	`distribute-neg-in_binary64`
42×	`associate-+r+_binary64`
36×	`+-commutative_binary64`
34×	`exp-sum_binary64`
27×	`log-pow_binary64` `distribute-rgt-out_binary64`
26×	`difference-of-squares_binary64`
22×	`unpow3_binary64`
19×	`pow-sqr_binary64`
18×	`exp-diff_binary64` `distribute-lft-neg-out_binary64`
17×	`associate--r+_binary64`
15×	`times-frac_binary64` `associate-+l-_binary64`
14×	`pow-plus_binary64` `cube-mult_binary64` `distribute-rgt-out--_binary64`
13×	`associate--l+_binary64` `associate-+r-_binary64`
10×	`rem-sqrt-square_binary64` `distribute-neg-out_binary64`
9×	`cube-unmult_binary64` `sub0-neg_binary64`
8×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-/l*_binary64`
7×	`distribute-rgt-neg-out_binary64`
6×	`*-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-lft-out_binary64`
5×	`*-lft-identity_binary64` `distribute-rgt1-in_binary64`
4×	`associate--r-_binary64`
3×	`div-exp_binary64` `--rgt-identity_binary64` `associate-/r*_binary64`
2×	`unpow1/3_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow2_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` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `mul-1-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64`

Counts

100 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1323
1	319	1256
2	956	1240
3	2403	1240
4	4811	1240
5	5019	1240

prune54.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Error

0.5b

Counts

64 → 5

Compiler

Compiled 939 to 726 computations (22.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))
0.4b	(exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
49.7b	(log.f64 (*.f64 2/15 (pow.f64 x 5)))

rewrite104.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

24×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
19×	`associate-r_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`prod-exp_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`pow1_binary64` `associate-l_binary64`
4×	`rem-log-exp_binary64` `add-log-exp_binary64` `exp-prod_binary64` `cube-prod_binary64` `sqr-pow_binary64`
3×	`pow-to-exp_binary64` `pow-exp_binary64`
2×	`log-pow_binary64` `log-prod_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
1×	`exp-sum_binary64` `rem-exp-log_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 82

Calls

4 calls:

6.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 2/15 (pow.f64 x 5))
4.0ms	(exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
3.0ms	(log.f64 (*.f64 2/15 (pow.f64 x 5)))

Compiler

Compiled 1457 to 1187 computations (18.5% saved)

series60.0ms (1.7%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

17.0ms	(exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
16.0ms	(log.f64 (*.f64 2/15 (pow.f64 x 5)))
11.0ms	(*.f64 1/3 (pow.f64 x 3))
10.0ms	(*.f64 2/15 (pow.f64 x 5))

Compiler

Compiled 455 to 396 computations (13% saved)

simplify96.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-l_binary64`
600×	`associate-r_binary64`
409×	`log-prod_binary64`
232×	`distribute-rgt-in_binary64`
212×	`exp-prod_binary64`
206×	`times-frac_binary64`
192×	`swap-sqr_binary64`
160×	`cube-prod_binary64`
149×	`*-commutative_binary64`
108×	`sqr-pow_binary64`
58×	`exp-sum_binary64`
52×	`log-pow_binary64`
49×	`unswap-sqr_binary64`
30×	`cancel-sign-sub-inv_binary64`
28×	`distribute-lft-in_binary64`
27×	`log-div_binary64` `pow-sqr_binary64`
25×	`sub-neg_binary64`
24×	`exp-diff_binary64`
22×	`cube-unmult_binary64` `distribute-neg-in_binary64`
21×	`pow-plus_binary64` `unsub-neg_binary64` `associate-+r+_binary64`
19×	`associate-+l+_binary64`
18×	`distribute-rgt-neg-out_binary64`
17×	`prod-exp_binary64`
16×	`distribute-lft-neg-out_binary64`
14×	`distribute-rgt-out_binary64`
13×	`distribute-lft-neg-in_binary64`
12×	`unpow3_binary64`
11×	`rem-sqrt-square_binary64` `distribute-rgt-neg-in_binary64`
10×	`rem-exp-log_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `associate-+r-_binary64`
9×	`cube-mult_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`
8×	`exp-to-pow_binary64` `div-sub_binary64` `associate-/l_binary64` `associate-/r_binary64`
6×	`log-rec_binary64` `associate-*l/_binary64` `associate-+l-_binary64`
4×	`+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate-*r/_binary64`
3×	`cube-div_binary64` `distribute-lft1-in_binary64`
2×	`div-exp_binary64` `exp-neg_binary64` `rem-log-exp_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`
1×	`unpow1/3_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow2_binary64` `unpow1/2_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` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-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` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

94 → 50

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	956
1	245	873
2	611	872
3	2590	872
4	4864	872
5	5102	872

prune40.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	51	4	55

Error

0.5b

Counts

55 → 4

Compiler

Compiled 632 to 498 computations (21.2% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))
0.4b	(pow.f64 E.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
49.7b	(log.f64 (*.f64 2/15 (pow.f64 x 5)))

rewrite115.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

25×	`add-sqr-sqrt_binary64`
21×	`add-exp-log_binary64`
19×	`associate-r_binary64`
13×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`unpow-prod-down_binary64`
9×	`prod-exp_binary64`
8×	`add-cbrt-cube_binary64`
7×	`pow1_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64`
5×	`pow-exp_binary64` `sqr-pow_binary64`
4×	`pow-to-exp_binary64` `rem-log-exp_binary64` `add-log-exp_binary64` `pow-unpow_binary64` `cube-prod_binary64`
2×	`log-pow_binary64` `log-prod_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
1×	`unpow-prod-up_binary64` `pow-pow_binary64` `e-exp-1_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

8.0ms	(*.f64 2/15 (pow.f64 x 5))
6.0ms	(*.f64 1/3 (pow.f64 x 3))
4.0ms	(pow.f64 E.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
3.0ms	(log.f64 (*.f64 2/15 (pow.f64 x 5)))

Compiler

Compiled 1681 to 1304 computations (22.4% saved)

series68.0ms (1.9%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow.f64 E.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
16.0ms	(log.f64 (*.f64 2/15 (pow.f64 x 5)))
12.0ms	(*.f64 2/15 (pow.f64 x 5))
9.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 529 to 457 computations (13.6% saved)

simplify104.0ms (3%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-l_binary64`
673×	`associate-r_binary64`
443×	`log-prod_binary64`
292×	`times-frac_binary64`
240×	`exp-prod_binary64`
178×	`sqr-pow_binary64`
174×	`cube-prod_binary64`
158×	`*-commutative_binary64`
68×	`unswap-sqr_binary64`
67×	`pow-sqr_binary64`
66×	`log-pow_binary64`
59×	`exp-sum_binary64`
46×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
35×	`cube-unmult_binary64`
33×	`log-div_binary64` `div-sub_binary64`
25×	`pow-plus_binary64`
22×	`sub-neg_binary64`
21×	`prod-exp_binary64` `swap-sqr_binary64`
19×	`exp-diff_binary64` `unsub-neg_binary64`
15×	`rem-sqrt-square_binary64` `associate-/l_binary64` `associate-r/_binary64`
13×	`unpow3_binary64` `exp-to-pow_binary64`
12×	`cube-mult_binary64`
11×	`associate-/l/_binary64`
10×	`rem-exp-log_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `associate-+r+_binary64` `+-commutative_binary64`
9×	`associate-/r*_binary64`
8×	`associate-+l+_binary64`
7×	`log-rec_binary64` `-rgt-identity_binary64` `associate-l/_binary64` `associate-+r-_binary64`
6×	`distribute-lft-neg-in_binary64`
5×	`*-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
4×	`pow-base-1_binary64` `div-exp_binary64` `+-rgt-identity_binary64`
3×	`cube-div_binary64` `distribute-neg-in_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-+l-_binary64`
2×	`unpow1/2_binary64` `exp-sqrt_binary64` `exp-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `distribute-rgt-neg-out_binary64`
1×	`log-E_binary64` `unpow1/3_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `rem-log-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `unpow2_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `rec-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `mul-1-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` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

101 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1237
1	295	1037
2	741	1036
3	3036	1014
4	4856	1012
5	5125	1012

prune42.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Error

0.5b

Counts

64 → 4

Compiler

Compiled 739 to 567 computations (23.3% saved)

regimes126.0ms (3.6%)

Accuracy

Total -0.0b remaining (-46%)

Threshold costs -0.0b (-46%)

Compiler

Compiled 1467 to 1092 computations (25.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 *-commutative_binary64 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end1.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

sample1.9s (53.6%)

Algorithm

1×

intervals

Results

1.0s	3897×	body	1024	valid
266.0ms	1931×	body	512	valid
119.0ms	402×	body	2048	valid
81.0ms	991×	body	256	valid
35.0ms	779×	body	128	valid

Compiler

Compiled 94 to 74 computations (21.3% saved)

Details

analyze96.0ms (2.7%)

sample62.0ms (1.8%)

simplify74.0ms (2.1%)

prune1.0ms (0%)

localize7.0ms (0.2%)

rewrite61.0ms (1.7%)

series49.0ms (1.4%)

simplify140.0ms (4%)

prune33.0ms (0.9%)

localize9.0ms (0.3%)

rewrite102.0ms (2.9%)

series51.0ms (1.5%)

simplify100.0ms (2.9%)

prune54.0ms (1.5%)

localize11.0ms (0.3%)

rewrite104.0ms (3%)

series60.0ms (1.7%)

simplify96.0ms (2.8%)

prune40.0ms (1.1%)

localize13.0ms (0.4%)

rewrite115.0ms (3.3%)

series68.0ms (1.9%)

simplify104.0ms (3%)

prune42.0ms (1.2%)

regimes126.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample1.9s (53.6%)

Profiling