Details

analyze2.9s (13%)

Algorithm

1×	search
2×	egg-herbie

Rules

580×	`associate-l_binary64`
570×	`associate-r_binary64`
435×	`distribute-rgt-in_binary64`
411×	`distribute-lft-in_binary64`
246×	`*-commutative_binary64`
228×	`sub-neg_binary64`
206×	`unswap-sqr_binary64`
174×	`neg-sub0_binary64`
168×	`cancel-sign-sub-inv_binary64`
163×	`unsub-neg_binary64`
161×	`neg-mul-1_binary64`
69×	`+-commutative_binary64`
58×	`div-sub_binary64`
53×	`distribute-rgt-neg-in_binary64`
47×	`distribute-lft-neg-in_binary64`
40×	`sqr-pow_binary64`
37×	`distribute-lft-neg-out_binary64`
33×	`associate-+r-_binary64`
31×	`distribute-rgt-neg-out_binary64`
28×	`associate-+l+_binary64` `associate-+r+_binary64`
26×	`associate-+l-_binary64`
22×	`swap-sqr_binary64`
20×	`cube-unmult_binary64`
19×	`sub0-neg_binary64`
16×	`difference-of-squares_binary64`
14×	`associate-/l*_binary64` `associate--l+_binary64`
13×	`+-rgt-identity_binary64`
12×	`sqr-neg_binary64`
10×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64`
7×	`distribute-frac-neg_binary64` `associate-/r/_binary64`
6×	`div0_binary64`
1×	`1-exp_binary64` `swap-A-C`
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-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	427
1	321	427
2	931	427
3	3931	427
4	4762	427
5	4978	427
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	98.2%	1.8%	7
0%	92%	8%	8
0%	91.2%	8.8%	9
0.4%	89.3%	10.3%	10
7.1%	79.2%	13.6%	11
11.9%	70.2%	17.9%	12
13.8%	67.4%	18.7%	13
16.6%	63.3%	20.1%	14

Symmetry

(sort A C)

Compiler

Compiled 41 to 33 computations (19.5% saved)

sample146.0ms (0.7%)

Algorithm

1×

intervals

Results

30.0ms	180×	body	128	valid
17.0ms	28×	body	1024	valid
15.0ms	25×	body	1024	nan
13.0ms	17×	body	2048	nan
12.0ms	16×	body	2048	valid
10.0ms	24×	body	512	valid
9.0ms	64×	body	128	nan
7.0ms	15×	body	512	nan
2.0ms	8×	body	256	valid
2.0ms	7×	body	256	nan

Compiler

Compiled 81 to 69 computations (14.8% saved)

simplify274.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

759×	`neg-mul-1_binary64`
493×	`associate-l_binary64`
463×	`associate-r_binary64`
420×	`distribute-rgt-in_binary64`
410×	`distribute-lft-in_binary64`
397×	`distribute-rgt-neg-out_binary64`
394×	`distribute-lft-neg-out_binary64`
225×	`unsub-neg_binary64`
199×	`*-commutative_binary64`
118×	`distribute-rgt-out_binary64`
114×	`distribute-lft-out_binary64`
74×	`neg-sub0_binary64`
66×	`distribute-lft-neg-in_binary64`
60×	`distribute-rgt-neg-in_binary64`
57×	`cancel-sign-sub-inv_binary64`
47×	`sub-neg_binary64`
40×	`distribute-neg-out_binary64` `associate-/l*_binary64` `associate--r+_binary64`
39×	`div-sub_binary64`
34×	`associate--l+_binary64`
32×	`associate-+l+_binary64`
31×	`associate-+r+_binary64`
25×	`distribute-neg-in_binary64`
24×	`unswap-sqr_binary64`
23×	`+-commutative_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64`
16×	`associate-/r*_binary64`
14×	`sqr-pow_binary64`
10×	`associate-/r/_binary64` `associate-+l-_binary64`
9×	`sub0-neg_binary64`
8×	`pow-plus_binary64` `cancel-sign-sub_binary64`
7×	`mul-1-neg_binary64` `distribute-neg-frac_binary64` `associate-+r-_binary64`
6×	`cube-unmult_binary64` `+-rgt-identity_binary64`
3×	`sqr-neg_binary64` `distribute-rgt-out--_binary64`
2×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `times-frac_binary64` `div0_binary64` `swap-sqr_binary64` `distribute-frac-neg_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_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-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `+-lft-identity_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	61
1	61	61
2	171	61
3	620	61
4	2440	61
5	4736	61
6	5390	61

prune4.0ms (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

53.0b

Counts

2 → 1

Compiler

Compiled 80 to 59 computations (26.3% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.6b	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
16.8b	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
20.4b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
33.9b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite891.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

52.0b

Rules

66×	`sqrt-div_binary64`
40×	`associate-*r/_binary64`
39×	`*-un-lft-identity_binary64`
36×	`times-frac_binary64`
35×	`add-sqr-sqrt_binary64`
34×	`associate-*l/_binary64`
32×	`add-cube-cbrt_binary64`
25×	`flip3-+_binary64` `flip-+_binary64`
24×	`frac-sub_binary64` `frac-times_binary64`
22×	`flip3--_binary64` `flip--_binary64`
20×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
17×	`pow1_binary64`
16×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
15×	`sqrt-prod_binary64`
12×	`associate-/l*_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow-prod-down_binary64`
5×	`sqrt-pow1_binary64`
4×	`add-log-exp_binary64` `unpow-prod-down_binary64` `neg-mul-1_binary64`
3×	`distribute-lft-out_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r*_binary64`
2×	`pow1/2_binary64` `associate-/r/_binary64`
1×	`distribute-lft-out--_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `neg-sub0_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 158

Calls

4 calls:

31.0ms	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
17.0ms	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
11.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
8.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 11275 to 7235 computations (35.8% saved)

series2.3s (10.3%)

Error

29.4b

Counts

4 → 79

Calls

4 calls:

1.1s	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
845.0ms	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
104.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
87.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 20192 to 15146 computations (25% saved)

simplify271.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

571×	`times-frac_binary64`
361×	`*-commutative_binary64`
250×	`distribute-rgt-in_binary64`
240×	`distribute-lft-in_binary64`
162×	`associate-r_binary64`
125×	`cancel-sign-sub-inv_binary64`
123×	`sub-neg_binary64`
94×	`+-commutative_binary64`
93×	`neg-sub0_binary64`
82×	`distribute-rgt-neg-in_binary64`
78×	`neg-mul-1_binary64`
69×	`associate-/l*_binary64`
60×	`distribute-lft-neg-in_binary64`
52×	`associate-+r+_binary64`
49×	`distribute-neg-in_binary64`
47×	`div-sub_binary64`
45×	`associate-l_binary64`
44×	`associate-*r/_binary64`
40×	`sqr-pow_binary64`
36×	`distribute-frac-neg_binary64`
28×	`associate-/r*_binary64`
25×	`associate-*l/_binary64`
22×	`mul-1-neg_binary64`
21×	`distribute-lft-neg-out_binary64`
20×	`associate--l+_binary64`
19×	`distribute-rgt-out_binary64`
16×	`distribute-neg-frac_binary64`
15×	`distribute-rgt-neg-out_binary64` `associate--r+_binary64`
14×	`unswap-sqr_binary64`
13×	`unpow3_binary64` `cube-mult_binary64`
12×	`swap-sqr_binary64`
9×	`cube-prod_binary64` `/-rgt-identity_binary64`
8×	`difference-of-squares_binary64`
5×	`log-prod_binary64` `unpow2_binary64` `unpow1_binary64` `exp-prod_binary64` `cube-unmult_binary64`
4×	`rem-sqrt-square_binary64` `distribute-lft-out_binary64`
3×	`exp-sum_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64`
2×	`log-div_binary64` `exp-diff_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
1×	`pow-plus_binary64` `exp-neg_binary64` `1-exp_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `div0_binary64` `associate-+l+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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-1-e_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` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

237 → 212

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	890	16921
1	2473	16420
2	5364	16420

prune387.0ms (1.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	194	18	212
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	195	18	213

Error

29.1b

Counts

213 → 18

Compiler

Compiled 14017 to 7134 computations (49.1% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.9b	(.f64 F (.f64 (*.f64 B B) (sqrt.f64 2)))
13.0b	(sqrt.f64 (.f64 -8 (.f64 C F)))
13.0b	(sqrt.f64 (.f64 -8 (.f64 C F)))
22.5b	(/.f64 (neg.f64 (-.f64 (neg.f64 (.f64 (.f64 A (sqrt.f64 2)) (sqrt.f64 (.f64 -8 (.f64 C F))))) (/.f64 (.f64 F (.f64 (.f64 B B) (sqrt.f64 2))) (sqrt.f64 (.f64 -8 (.f64 C F)))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))

rewrite301.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

29.1b

Rules

48×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
42×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64`
25×	`pow1_binary64`
20×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-/l*_binary64`
12×	`pow-prod-down_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`sqrt-pow1_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `neg-mul-1_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`flip3--_binary64` `distribute-neg-frac_binary64` `associate-/l/_binary64` `flip--_binary64` `associate-/r/_binary64` `pow1/2_binary64` `sqrt-prod_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `neg-sub0_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 122

Calls

4 calls:

21.0ms	(/.f64 (neg.f64 (-.f64 (neg.f64 (.f64 (.f64 A (sqrt.f64 2)) (sqrt.f64 (.f64 -8 (.f64 C F))))) (/.f64 (.f64 F (.f64 (.f64 B B) (sqrt.f64 2))) (sqrt.f64 (.f64 -8 (.f64 C F)))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
8.0ms	(.f64 F (.f64 (*.f64 B B) (sqrt.f64 2)))
4.0ms	(sqrt.f64 (.f64 -8 (.f64 C F)))
4.0ms	(sqrt.f64 (.f64 -8 (.f64 C F)))

Compiler

Compiled 6546 to 4288 computations (34.5% saved)

series250.0ms (1.1%)

Error

25.4b

Counts

4 → 36

Calls

4 calls:

152.0ms	(/.f64 (neg.f64 (-.f64 (neg.f64 (.f64 (.f64 A (sqrt.f64 2)) (sqrt.f64 (.f64 -8 (.f64 C F))))) (/.f64 (.f64 F (.f64 (.f64 B B) (sqrt.f64 2))) (sqrt.f64 (.f64 -8 (.f64 C F)))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
31.0ms	(.f64 F (.f64 (*.f64 B B) (sqrt.f64 2)))
24.0ms	(sqrt.f64 (.f64 -8 (.f64 C F)))
22.0ms	(sqrt.f64 (.f64 -8 (.f64 C F)))

Compiler

Compiled 3434 to 2750 computations (19.9% saved)

simplify250.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

619×	`div-sub_binary64`
263×	`associate-r_binary64`
256×	`associate-/l*_binary64`
254×	`cancel-sign-sub-inv_binary64`
243×	`associate-l_binary64`
211×	`times-frac_binary64`
189×	`distribute-neg-frac_binary64`
137×	`*-commutative_binary64`
131×	`neg-mul-1_binary64`
130×	`neg-sub0_binary64`
116×	`sub-neg_binary64` `associate-/r*_binary64`
111×	`distribute-frac-neg_binary64`
65×	`swap-sqr_binary64`
53×	`associate-*l/_binary64`
51×	`associate-/l/_binary64`
50×	`associate-*r/_binary64`
49×	`cube-prod_binary64`
36×	`log-prod_binary64` `associate-/r/_binary64` `+-commutative_binary64`
34×	`sqr-pow_binary64` `distribute-rgt-in_binary64`
33×	`unswap-sqr_binary64`
31×	`exp-prod_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
28×	`distribute-lft-in_binary64`
23×	`unsub-neg_binary64`
20×	`unpow3_binary64`
19×	`distribute-rgt-neg-out_binary64`
17×	`log-div_binary64` `distribute-neg-in_binary64`
16×	`cube-mult_binary64` `distribute-lft-neg-out_binary64`
14×	`sqr-neg_binary64` `associate-+r+_binary64`
13×	`cube-div_binary64` `/-rgt-identity_binary64`
11×	`cube-unmult_binary64` `associate-+l+_binary64`
7×	`remove-double-neg_binary64` `associate--r+_binary64`
6×	`log-rec_binary64` `exp-diff_binary64` `*-rgt-identity_binary64` `div0_binary64`
5×	`pow-plus_binary64` `exp-sum_binary64`
4×	`rem-sqrt-square_binary64` `difference-of-squares_binary64`
3×	`associate--r-_binary64`
2×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `sub0-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `+-rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_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` `e-exp-1_binary64` `exp-1-e_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` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`

Counts

158 → 143

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	8966
1	756	8634
2	3218	8444
3	4678	8444
4	5216	8444

prune207.0ms (0.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	132	11	143
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	138	23	161

Error

25.3b

Counts

161 → 23

Compiler

Compiled 6661 to 4105 computations (38.4% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 -8 (.f64 F C))
0.2b	(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (*.f64 F C)))) C)
0.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (*.f64 F C))))
13.0b	(sqrt.f64 (.f64 -8 (.f64 F C)))

rewrite138.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

25.3b

Rules

26×	`pow1_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64` `pow-prod-down_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`sqrt-pow1_binary64` `associate-l_binary64`
6×	`sqrt-prod_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/2_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
1×	`sqrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`

Counts

4 → 79

Calls

4 calls:

11.0ms	(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (*.f64 F C)))) C)
9.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (*.f64 F C))))
5.0ms	(.f64 -8 (.f64 F C))
4.0ms	(sqrt.f64 (.f64 -8 (.f64 F C)))

Compiler

Compiled 1346 to 951 computations (29.3% saved)

series77.0ms (0.3%)

Error

25.3b

Counts

4 → 24

Calls

4 calls:

22.0ms	(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (*.f64 F C)))) C)
21.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -8 (*.f64 F C))))
16.0ms	(sqrt.f64 (.f64 -8 (.f64 F C)))
16.0ms	(.f64 -8 (.f64 F C))

Compiler

Compiled 805 to 838 computations (-4.1% saved)

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

662×	`times-frac_binary64`
654×	`associate-/l*_binary64`
317×	`*-commutative_binary64`
222×	`sub-neg_binary64`
207×	`associate-/r*_binary64`
206×	`sqr-pow_binary64`
196×	`associate-/l/_binary64`
185×	`associate-*l/_binary64`
150×	`associate-l_binary64`
147×	`associate-*r/_binary64`
144×	`associate-r_binary64`
132×	`associate-/r/_binary64`
120×	`div-sub_binary64`
114×	`associate--r+_binary64`
105×	`associate--r-_binary64`
93×	`unsub-neg_binary64`
75×	`associate-+l-_binary64`
67×	`pow-sqr_binary64`
65×	`associate-+l+_binary64`
63×	`swap-sqr_binary64`
62×	`log-div_binary64`
61×	`cancel-sign-sub-inv_binary64`
59×	`cube-div_binary64`
58×	`log-prod_binary64` `associate--l+_binary64`
57×	`*-rgt-identity_binary64`
54×	`associate--l-_binary64`
50×	`cube-prod_binary64`
44×	`/-rgt-identity_binary64` `distribute-neg-in_binary64`
42×	`exp-prod_binary64`
38×	`neg-mul-1_binary64`
37×	`neg-sub0_binary64`
33×	`unswap-sqr_binary64`
32×	`*-lft-identity_binary64`
31×	`distribute-rgt-in_binary64`
25×	`associate-+r+_binary64`
24×	`+-commutative_binary64`
17×	`remove-double-div_binary64` `associate-+r-_binary64`
16×	`distribute-neg-out_binary64`
14×	`unpow3_binary64`
12×	`log-rec_binary64` `cube-mult_binary64`
11×	`distribute-lft-neg-in_binary64`
10×	`rem-sqrt-square_binary64`
9×	`distribute-neg-frac_binary64`
8×	`remove-double-neg_binary64` `--rgt-identity_binary64` `distribute-lft-in_binary64`
7×	`cube-unmult_binary64` `+-lft-identity_binary64` `distribute-rgt-neg-in_binary64`
6×	`unpow1/2_binary64` `+-rgt-identity_binary64`
5×	`distribute-rgt-out_binary64`
3×	`sub0-neg_binary64` `mul0-lft_binary64` `distribute-rgt-out--_binary64`
2×	`pow-plus_binary64` `exp-diff_binary64` `exp-sum_binary64` `rem-square-sqrt_binary64` `mul0-rgt_binary64` `div0_binary64` `+-inverses_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-inverses_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_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` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

103 → 70

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	128	1494
1	282	1335
2	1008	1335
3	3651	1335
4	4131	1335
5	4452	1335
6	4919	1335

prune102.0ms (0.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	5	17	22
Picked	1	0	1
Done	0	0	0
Total	70	23	93

Error

25.2b

Counts

93 → 23

Compiler

Compiled 1938 to 1369 computations (29.4% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (sqrt.f64 (.f64 F (.f64 C -16))) C)
13.0b	(sqrt.f64 (.f64 F (.f64 C -16)))

rewrite72.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

24.6b

Rules

12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
8×	`pow1_binary64`
5×	`sqrt-prod_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`pow-prod-down_binary64` `sqrt-pow1_binary64` `associate-/r*_binary64`
2×	`add-log-exp_binary64`
1×	`pow1/2_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

2 → 43

Calls

2 calls:

8.0ms	(/.f64 (sqrt.f64 (.f64 F (.f64 C -16))) C)
4.0ms	(sqrt.f64 (.f64 F (.f64 C -16)))

Compiler

Compiled 720 to 503 computations (30.1% saved)

series29.0ms (0.1%)

Error

25.2b

Counts

2 → 12

Calls

2 calls:

14.0ms	(/.f64 (sqrt.f64 (.f64 F (.f64 C -16))) C)
14.0ms	(sqrt.f64 (.f64 F (.f64 C -16)))

Compiler

Compiled 306 to 324 computations (-5.9% saved)

simplify124.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1074×	`div-sub_binary64`
752×	`times-frac_binary64`
740×	`unsub-neg_binary64`
560×	`associate-/l*_binary64`
430×	`sub-neg_binary64`
429×	`associate-/l/_binary64`
318×	`cancel-sign-sub-inv_binary64`
297×	`*-commutative_binary64`
228×	`associate-/r*_binary64`
225×	`associate-/r/_binary64`
163×	`associate-*l/_binary64`
148×	`associate--l-_binary64`
145×	`div0_binary64`
144×	`neg-mul-1_binary64` `associate-l_binary64`
142×	`neg-sub0_binary64`
117×	`distribute-rgt-in_binary64`
114×	`log-prod_binary64`
108×	`cube-prod_binary64` `associate-*r/_binary64`
106×	`associate-r_binary64`
89×	`distribute-lft-in_binary64`
75×	`cube-div_binary64`
72×	`distribute-neg-out_binary64`
67×	`mul0-rgt_binary64` `mul0-lft_binary64`
63×	`log-div_binary64`
59×	`sqr-pow_binary64`
53×	`associate--r-_binary64`
49×	`associate--r+_binary64`
41×	`associate--l+_binary64`
34×	`/-rgt-identity_binary64` `distribute-neg-in_binary64`
32×	`unpow3_binary64` `cube-mult_binary64`
31×	`unswap-sqr_binary64`
30×	`swap-sqr_binary64`
29×	`associate-+l-_binary64`
27×	`*-lft-identity_binary64`
23×	`associate-+r+_binary64`
22×	`associate-+l+_binary64`
19×	`*-rgt-identity_binary64` `associate-+r-_binary64`
17×	`distribute-lft-neg-in_binary64` `+-commutative_binary64`
15×	`log-pow_binary64` `distribute-rgt-neg-in_binary64`
13×	`distribute-neg-frac_binary64`
11×	`log-rec_binary64` `distribute-lft-out--_binary64`
9×	`distribute-rgt-out_binary64`
8×	`remove-double-neg_binary64`
7×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
6×	`remove-double-div_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
5×	`rem-sqrt-square_binary64` `sub0-neg_binary64` `pow-sqr_binary64`
4×	`exp-prod_binary64` `cube-unmult_binary64`
3×	`exp-sum_binary64` `distribute-rgt1-in_binary64`
2×	`unpow1/2_binary64` `exp-diff_binary64` `+-inverses_binary64` `distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `distribute-rgt-neg-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64`

Counts

55 → 16

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	845
1	137	789
2	285	789
3	764	789
4	2057	789
5	2234	789
6	3233	789
7	3589	789
8	4389	789
9	4995	789

prune11.0ms (0.1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	1	21	22
Picked	0	1	1
Done	0	0	0
Total	15	24	39

Error

24.6b

Counts

39 → 24

Compiler

Compiled 128 to 99 computations (22.7% saved)

regimes7.2s (32.6%)

Accuracy

Total 10.6b remaining (30.4%)

Threshold costs 0b (0%)

Compiler

Compiled 97251 to 75314 computations (22.6% saved)

bsearch24.0ms (0.1%)

Compiler: Compiled 40 to 32 computations (20% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

31×	`*-commutative_binary64`
21×	`+-commutative_binary64`
18×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`
7×	`distribute-rgt-neg-in_binary64`
5×	`distribute-lft-neg-in_binary64`
3×	`cancel-sign-sub-inv_binary64`
2×	`distribute-frac-neg_binary64` `distribute-lft-neg-out_binary64`
1×	`mul-1-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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	413
1	118	413
2	158	413
3	183	413
4	198	413
5	201	413
6	200	413

end25.0ms (0.1%)

Compiler: Compiled 807 to 561 computations (30.5% saved)

sample5.9s (27%)

Algorithm

1×

intervals

Results

885.0ms	5614×	body	128	valid
534.0ms	885×	body	1024	valid
497.0ms	834×	body	1024	nan
481.0ms	602×	body	2048	valid
433.0ms	545×	body	2048	nan
420.0ms	564×	body	512	nan
372.0ms	2510×	body	128	nan
241.0ms	539×	body	512	valid
106.0ms	344×	body	256	nan
104.0ms	359×	body	256	valid
1.0ms	1×	body	4096	valid

Compiler

Compiled 1362 to 972 computations (28.6% saved)

Details

analyze2.9s (13%)

sample146.0ms (0.7%)

simplify274.0ms (1.2%)

prune4.0ms (0%)

localize22.0ms (0.1%)

rewrite891.0ms (4%)

series2.3s (10.3%)

simplify271.0ms (1.2%)

prune387.0ms (1.8%)

localize24.0ms (0.1%)

rewrite301.0ms (1.4%)

series250.0ms (1.1%)

simplify250.0ms (1.1%)

prune207.0ms (0.9%)

localize9.0ms (0%)

rewrite138.0ms (0.6%)

series77.0ms (0.3%)

simplify115.0ms (0.5%)

prune102.0ms (0.5%)

localize7.0ms (0%)

rewrite72.0ms (0.3%)

series29.0ms (0.1%)

simplify124.0ms (0.6%)

prune11.0ms (0.1%)

regimes7.2s (32.6%)

bsearch24.0ms (0.1%)

simplify17.0ms (0.1%)

end25.0ms (0.1%)

sample5.9s (27%)

Profiling