Details

analyze2.8s (13.6%)

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)

sample148.0ms (0.7%)

Algorithm

1×

intervals

Results

27.0ms	184×	body	128	valid
18.0ms	18×	body	2048	nan
13.0ms	21×	body	1024	valid
13.0ms	15×	body	2048	valid
11.0ms	19×	body	1024	nan
11.0ms	78×	body	128	nan
10.0ms	23×	body	512	nan
10.0ms	23×	body	512	valid
3.0ms	13×	body	256	valid
3.0ms	10×	body	256	nan

Compiler

Compiled 81 to 69 computations (14.8% saved)

simplify54.0ms (0.3%)

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

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

51.4b

Counts

2 → 1

Compiler

Compiled 80 to 59 computations (26.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.2b	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
13.3b	(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))))))
20.6b	(/.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)))
34.1b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite907.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

51.2b

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:

27.0ms	(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))))))
16.0ms	(/.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)))
15.0ms	(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)

series2.8s (13.6%)

Error

28.8b

Counts

4 → 81

Calls

4 calls:

1.6s	(/.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)))
855.0ms	(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))))))
110.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
81.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 21574 to 15826 computations (26.6% saved)

simplify371.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

391×	`*-commutative_binary64`
252×	`distribute-rgt-in_binary64`
244×	`distribute-lft-in_binary64`
169×	`associate-r_binary64`
131×	`sub-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`
114×	`+-commutative_binary64`
94×	`neg-sub0_binary64`
83×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
81×	`associate-/l*_binary64`
69×	`associate-+r+_binary64`
64×	`div-sub_binary64`
61×	`distribute-lft-neg-in_binary64`
57×	`associate-*r/_binary64`
55×	`sqr-pow_binary64`
53×	`distribute-neg-in_binary64`
51×	`associate-/r*_binary64`
44×	`associate-l_binary64`
36×	`distribute-frac-neg_binary64`
35×	`times-frac_binary64`
34×	`unswap-sqr_binary64`
27×	`exp-prod_binary64`
23×	`cube-prod_binary64` `associate--l+_binary64`
22×	`mul-1-neg_binary64`
21×	`distribute-lft-neg-out_binary64` `associate-*l/_binary64`
20×	`distribute-rgt-out_binary64`
19×	`unpow3_binary64`
18×	`cube-mult_binary64`
16×	`swap-sqr_binary64` `distribute-neg-frac_binary64` `associate--r+_binary64`
15×	`distribute-rgt-neg-out_binary64`
9×	`log-prod_binary64` `exp-sum_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64`
8×	`rem-sqrt-square_binary64` `difference-of-squares_binary64`
6×	`distribute-lft-out_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `rem-square-sqrt_binary64`
3×	`log-div_binary64` `cube-div_binary64` `sqr-neg_binary64` `unsub-neg_binary64`
2×	`pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
1×	`log-pow_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `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` `-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

239 → 215

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	967	17981
1	2790	17421
2	4896	17412
3	4975	17412

prune406.0ms (2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	196	19	215
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	19	216

Error

28.7b

Counts

216 → 19

Compiler

Compiled 14639 to 7615 computations (48% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C))))
10.5b	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

rewrite67.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

26.0b

Rules

12×	`pow1_binary64`
9×	`add-sqr-sqrt_binary64`
6×	`pow-prod-down_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64` `associate-l_binary64`
5×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
3×	`pow1/2_binary64` `associate-*r/_binary64`
2×	`add-log-exp_binary64` `sqrt-div_binary64` `unswap-sqr_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `*-commutative_binary64`

Counts

2 → 40

Calls

2 calls:

11.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C))))
4.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

Compiler

Compiled 553 to 408 computations (26.2% saved)

series36.0ms (0.2%)

Error

28.7b

Counts

2 → 12

Calls

2 calls:

20.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C))))
15.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

Compiler

Compiled 382 to 406 computations (-6.3% saved)

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

387×	`unsub-neg_binary64`
332×	`associate-/r/_binary64`
301×	`*-commutative_binary64`
283×	`distribute-rgt-in_binary64`
280×	`neg-sub0_binary64`
271×	`neg-mul-1_binary64`
247×	`associate-/l*_binary64`
239×	`associate-/r*_binary64`
237×	`distribute-rgt-neg-in_binary64`
223×	`sub-neg_binary64`
221×	`associate-l_binary64`
220×	`div-sub_binary64`
217×	`associate-*l/_binary64`
205×	`associate-*r/_binary64`
192×	`associate-+l+_binary64`
189×	`distribute-lft-in_binary64` `associate-r_binary64`
168×	`distribute-lft-neg-in_binary64`
141×	`sqr-pow_binary64` `distribute-lft-neg-out_binary64`
113×	`distribute-rgt-neg-out_binary64`
95×	`cancel-sign-sub-inv_binary64`
87×	`associate-/l/_binary64`
86×	`pow-sqr_binary64`
82×	`unswap-sqr_binary64`
73×	`distribute-neg-frac_binary64`
72×	`associate-+r+_binary64`
69×	`rem-sqrt-square_binary64`
53×	`*-rgt-identity_binary64`
52×	`*-lft-identity_binary64`
49×	`associate-+l-_binary64`
46×	`mul0-rgt_binary64`
42×	`+-commutative_binary64`
39×	`mul0-lft_binary64`
26×	`sub0-neg_binary64` `--rgt-identity_binary64`
25×	`distribute-lft-out_binary64`
23×	`distribute-rgt-out_binary64`
17×	`div0_binary64`
14×	`mul-1-neg_binary64` `+-rgt-identity_binary64`
11×	`distribute-frac-neg_binary64`
10×	`exp-prod_binary64`
9×	`log-prod_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64`
8×	`distribute-rgt1-in_binary64`
6×	`cube-prod_binary64` `associate--r+_binary64`
5×	`distribute-lft1-in_binary64`
4×	`count-2_binary64`
3×	`unpow1/2_binary64` `associate--l+_binary64`
2×	`cube-unmult_binary64` `rem-square-sqrt_binary64`
1×	`unpow3_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `swap-sqr_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-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-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` `times-frac_binary64` `remove-double-neg_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-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r-_binary64`

Counts

52 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	698
1	143	676
2	390	676
3	938	676
4	1712	676
5	2446	676
6	3003	676
7	3384	676
8	4381	676
9	4970	676
10	4983	676
11	4850	676

prune47.0ms (0.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	22	24	46

Error

26.0b

Counts

46 → 24

Compiler

Compiled 1072 to 781 computations (27.1% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F -1/2))) (sqrt.f64 C))
0.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F -1/2)))

rewrite96.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

26.0b

Rules

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

Counts

2 → 55

Calls

2 calls:

9.0ms	(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F -1/2))) (sqrt.f64 C))
7.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F -1/2)))

Compiler

Compiled 843 to 633 computations (24.9% saved)

series33.0ms (0.2%)

Error

26.0b

Counts

2 → 9

Calls

2 calls:

23.0ms	(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F -1/2))) (sqrt.f64 C))
9.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 F -1/2)))

Compiler

Compiled 306 to 330 computations (-7.8% saved)

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

633×	`times-frac_binary64`
597×	`associate-/l*_binary64`
315×	`div-sub_binary64`
307×	`neg-mul-1_binary64`
284×	`associate-l_binary64`
212×	`associate-r_binary64`
207×	`associate-/l/_binary64`
206×	`associate-*l/_binary64`
180×	`associate-/r*_binary64`
179×	`sub-neg_binary64`
168×	`associate-*r/_binary64`
140×	`associate-/r/_binary64`
125×	`distribute-frac-neg_binary64`
113×	`*-commutative_binary64`
105×	`associate--r-_binary64`
75×	`associate-+l-_binary64`
71×	`unsub-neg_binary64`
69×	`distribute-rgt-neg-out_binary64`
68×	`distribute-lft-neg-out_binary64`
63×	`associate-+l+_binary64`
62×	`sqr-pow_binary64` `cancel-sign-sub-inv_binary64`
58×	`associate--l+_binary64`
57×	`neg-sub0_binary64`
54×	`associate--l-_binary64`
46×	`*-rgt-identity_binary64`
44×	`distribute-neg-in_binary64`
43×	`log-div_binary64`
41×	`distribute-rgt-in_binary64`
40×	`log-prod_binary64` `cube-div_binary64`
37×	`cube-prod_binary64` `/-rgt-identity_binary64`
34×	`*-lft-identity_binary64`
24×	`swap-sqr_binary64`
23×	`associate-+r+_binary64`
22×	`exp-prod_binary64` `distribute-lft-neg-in_binary64`
19×	`+-commutative_binary64`
17×	`distribute-neg-frac_binary64` `associate-+r-_binary64`
16×	`distribute-rgt-neg-in_binary64`
15×	`unswap-sqr_binary64` `distribute-neg-out_binary64`
13×	`distribute-lft-in_binary64`
12×	`rem-sqrt-square_binary64`
11×	`log-rec_binary64` `remove-double-div_binary64` `pow-sqr_binary64`
10×	`unpow3_binary64` `associate--r+_binary64`
9×	`cube-mult_binary64` `div0_binary64` `distribute-rgt-out_binary64`
8×	`--rgt-identity_binary64` `distribute-lft-out_binary64`
7×	`+-lft-identity_binary64`
6×	`mul-1-neg_binary64`
5×	`cube-unmult_binary64`
4×	`unpow1/2_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
3×	`rem-square-sqrt_binary64` `sub0-neg_binary64` `distribute-rgt-out--_binary64`
2×	`+-inverses_binary64` `distribute-lft1-in_binary64`
1×	`exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-rgt1-in_binary64` `distribute-lft-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` `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` `*-inverses_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`

Counts

64 → 34

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1100
1	208	974
2	755	969
3	3258	969
4	3682	969
5	4525	969
6	5152	969

prune50.0ms (0.2%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	1	22	23
Picked	0	1	1
Done	0	0	0
Total	32	26	58

Error

26.0b

Counts

58 → 26

Compiler

Compiled 1141 to 826 computations (27.6% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.3b

(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (*.f64 F -1/2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 C))

0.3b

(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (*.f64 F -1/2)) (sqrt.f64 (sqrt.f64 2))))

0.3b

(*.f64 (sqrt.f64 (*.f64 F -1/2)) (sqrt.f64 (sqrt.f64 2)))

rewrite177.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

26.0b

Rules

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

Counts

3 → 89

Calls

3 calls:

15.0ms

(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (*.f64 F -1/2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 C))

13.0ms

(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (*.f64 F -1/2)) (sqrt.f64 (sqrt.f64 2))))

11.0ms

(*.f64 (sqrt.f64 (*.f64 F -1/2)) (sqrt.f64 (sqrt.f64 2)))

Compiler

Compiled 1788 to 1482 computations (17.1% saved)

series44.0ms (0.2%)

Error

26.0b

Counts

3 → 12

Calls

3 calls:

24.0ms

(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (*.f64 F -1/2)) (sqrt.f64 (sqrt.f64 2)))) (sqrt.f64 C))

10.0ms

(*.f64 (sqrt.f64 (*.f64 F -1/2)) (sqrt.f64 (sqrt.f64 2)))

9.0ms

(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 (*.f64 F -1/2)) (sqrt.f64 (sqrt.f64 2))))

Compiler

Compiled 428 to 462 computations (-7.9% saved)

simplify151.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

465×	`associate-/r*_binary64`
365×	`sub-neg_binary64`
311×	`cancel-sign-sub-inv_binary64`
270×	`associate-*l/_binary64`
254×	`*-commutative_binary64`
245×	`div-sub_binary64` `associate--r+_binary64`
235×	`associate-*r/_binary64`
232×	`associate-/r/_binary64`
212×	`associate-/l/_binary64`
186×	`sqr-pow_binary64`
181×	`associate--r-_binary64`
126×	`associate-l_binary64` `associate-r_binary64`
124×	`associate-+r-_binary64`
102×	`unswap-sqr_binary64`
95×	`associate-/l*_binary64`
87×	`unsub-neg_binary64`
82×	`distribute-neg-in_binary64`
75×	`times-frac_binary64` `+-commutative_binary64`
68×	`associate-+l+_binary64`
63×	`associate--l+_binary64`
61×	`pow-sqr_binary64`
57×	`associate-+l-_binary64`
55×	`log-div_binary64`
49×	`rem-sqrt-square_binary64` `distribute-rgt-in_binary64`
46×	`log-prod_binary64` `cube-div_binary64`
45×	`associate--l-_binary64`
44×	`swap-sqr_binary64`
40×	`cube-prod_binary64`
39×	`neg-mul-1_binary64`
38×	`*-rgt-identity_binary64` `associate-+r+_binary64`
37×	`neg-sub0_binary64`
35×	`exp-prod_binary64`
24×	`distribute-lft-in_binary64`
22×	`/-rgt-identity_binary64`
21×	`*-lft-identity_binary64` `distribute-neg-out_binary64`
18×	`distribute-rgt-neg-in_binary64`
17×	`unpow3_binary64`
16×	`cube-mult_binary64`
15×	`distribute-lft-neg-in_binary64`
9×	`+-rgt-identity_binary64`
7×	`log-rec_binary64` `cube-unmult_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64`
6×	`unpow1/2_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-frac_binary64`
5×	`sub0-neg_binary64`
4×	`rem-square-sqrt_binary64`
3×	`div0_binary64` `+-inverses_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
2×	`pow-plus_binary64` `exp-diff_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-rgt-neg-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` `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-identity_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-lft-out--_binary64`

Counts

101 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	2275
1	290	1665
2	991	1630
3	2764	1630
4	3378	1630
5	4000	1630
6	4855	1630
7	5123	1630

prune71.0ms (0.3%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	4	20	24
Picked	0	1	1
Done	0	1	1
Total	74	29	103

Error

26.0b

Counts

103 → 29

Compiler

Compiled 910 to 725 computations (20.3% saved)

regimes6.0s (29.7%)

Accuracy

Total 4.3b remaining (13.9%)

Threshold costs 0b (0%)

Compiler

Compiled 65895 to 52001 computations (21.1% saved)

bsearch20.0ms (0.1%)

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

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

193×	`distribute-rgt-neg-in_binary64`
135×	`cancel-sign-sub-inv_binary64`
126×	`distribute-lft-neg-in_binary64`
114×	`neg-mul-1_binary64` `neg-sub0_binary64`
112×	`distribute-lft-neg-out_binary64`
92×	`distribute-rgt-neg-out_binary64`
75×	`sub-neg_binary64`
67×	`*-commutative_binary64`
65×	`distribute-neg-in_binary64`
59×	`+-commutative_binary64`
35×	`remove-double-neg_binary64`
34×	`unsub-neg_binary64`
18×	`distribute-neg-out_binary64`
5×	`distribute-frac-neg_binary64`
4×	`distribute-neg-frac_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	428
1	142	426
2	229	426
3	308	426
4	375	426
5	418	426
6	472	426
7	543	426
8	610	426
9	697	426
10	789	426
11	864	426
12	923	426
13	953	426
14	960	426
15	962	426
16	950	426

end24.0ms (0.1%)

Compiler: Compiled 828 to 549 computations (33.7% saved)

sample5.7s (27.9%)

Algorithm

1×

intervals

Results

808.0ms	5519×	body	128	valid
529.0ms	896×	body	1024	valid
528.0ms	662×	body	2048	valid
471.0ms	801×	body	1024	nan
409.0ms	544×	body	2048	nan
399.0ms	2537×	body	128	nan
262.0ms	594×	body	512	valid
250.0ms	574×	body	512	nan
91.0ms	327×	body	256	valid
82.0ms	280×	body	256	nan
2.0ms	2×	body	4096	valid

Compiler

Compiled 1323 to 993 computations (24.9% saved)

Iter	Nodes	Cost
0	78	428
1	142	426
2	229	426
3	308	426
4	375	426
5	418	426
6	472	426
7	543	426
8	610	426
9	697	426
10	789	426
11	864	426
12	923	426
13	953	426
14	960	426
15	962	426
16	950	426

Iter	Nodes	Cost
0	78	428
1	142	426
2	229	426
3	308	426
4	375	426
5	418	426
6	472	426
7	543	426
8	610	426
9	697	426
10	789	426
11	864	426
12	923	426
13	953	426
14	960	426
15	962	426
16	950	426

Details

analyze2.8s (13.6%)

sample148.0ms (0.7%)

simplify54.0ms (0.3%)

prune3.0ms (0%)

localize20.0ms (0.1%)

rewrite907.0ms (4.5%)

series2.8s (13.6%)

simplify371.0ms (1.8%)

prune406.0ms (2%)

localize7.0ms (0%)

rewrite67.0ms (0.3%)

series36.0ms (0.2%)

simplify149.0ms (0.7%)

prune47.0ms (0.2%)

localize8.0ms (0%)

rewrite96.0ms (0.5%)

series33.0ms (0.2%)

simplify102.0ms (0.5%)

prune50.0ms (0.2%)

localize10.0ms (0%)

rewrite177.0ms (0.9%)

series44.0ms (0.2%)

simplify151.0ms (0.7%)

prune71.0ms (0.3%)

regimes6.0s (29.7%)

bsearch20.0ms (0.1%)

simplify55.0ms (0.3%)

end24.0ms (0.1%)

sample5.7s (27.9%)

Profiling

Iter	Nodes	Cost
0	78	428
1	142	426
2	229	426
3	308	426
4	375	426
5	418	426
6	472	426
7	543	426
8	610	426
9	697	426
10	789	426
11	864	426
12	923	426
13	953	426
14	960	426
15	962	426
16	950	426