Details

analyze3.2s (14.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

669×	`associate-l_binary64`
659×	`associate-r_binary64`
560×	`distribute-rgt-in_binary64`
528×	`distribute-lft-in_binary64`
230×	`unswap-sqr_binary64`
89×	`*-commutative_binary64`
76×	`unsub-neg_binary64`
71×	`neg-sub0_binary64`
64×	`sub-neg_binary64`
60×	`sqr-pow_binary64`
58×	`cancel-sign-sub-inv_binary64`
54×	`neg-mul-1_binary64`
53×	`distribute-rgt-neg-in_binary64`
47×	`distribute-lft-neg-in_binary64`
46×	`+-commutative_binary64`
28×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
23×	`distribute-lft-neg-out_binary64`
20×	`div-sub_binary64`
17×	`distribute-rgt-neg-out_binary64`
14×	`associate-/l*_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
12×	`difference-of-squares_binary64`
10×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64` `cube-prod_binary64` `rem-sqrt-square_binary64`
7×	`distribute-frac-neg_binary64` `associate-/r/_binary64`
6×	`div0_binary64`
4×	`sqr-neg_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-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` `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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_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-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--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	427
1	356	427
2	1079	427
3	4970	427
4	4715	427
5	5334	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%	99.8%	0.2%	7
0%	98.2%	1.8%	8
0%	94.3%	5.7%	9
0.4%	93%	6.6%	10
7.4%	83.3%	9.3%	11
12.4%	75.2%	12.4%	12
14.4%	68.9%	16.7%	13
16.8%	65.4%	17.8%	14

Symmetry

(sort A C)

Compiler

Compiled 41 to 33 computations (19.5% saved)

sample158.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	194×	body	128	valid
22.0ms	21×	body	2048	nan
17.0ms	30×	body	1024	nan
15.0ms	15×	body	2048	valid
13.0ms	89×	body	128	nan
11.0ms	18×	body	1024	valid
9.0ms	20×	body	512	valid
6.0ms	14×	body	512	nan
3.0ms	9×	body	256	valid
2.0ms	7×	body	256	nan

Compiler

Compiled 81 to 69 computations (14.8% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-+l+_binary64`
560×	`associate-l_binary64`
528×	`associate-r_binary64`
455×	`distribute-rgt-in_binary64`
449×	`distribute-lft-in_binary64`
324×	`distribute-rgt-neg-out_binary64`
316×	`distribute-lft-neg-out_binary64`
259×	`distribute-rgt-out_binary64`
250×	`distribute-lft-out_binary64`
202×	`*-commutative_binary64`
151×	`unsub-neg_binary64`
59×	`neg-sub0_binary64`
50×	`distribute-rgt-neg-in_binary64` `associate-+r+_binary64`
49×	`distribute-lft-neg-in_binary64`
41×	`associate-+l-_binary64`
40×	`associate-/l*_binary64`
36×	`neg-mul-1_binary64` `cancel-sign-sub-inv_binary64`
34×	`distribute-neg-out_binary64`
30×	`sub-neg_binary64` `associate-+r-_binary64`
24×	`unswap-sqr_binary64`
19×	`+-commutative_binary64`
16×	`associate-/r*_binary64`
14×	`sqr-pow_binary64`
12×	`mul0-rgt_binary64` `mul0-lft_binary64`
11×	`distribute-neg-in_binary64`
10×	`div-sub_binary64` `associate-/r/_binary64`
8×	`associate--r+_binary64`
7×	`sub0-neg_binary64` `distribute-neg-frac_binary64`
6×	`pow-plus_binary64`
4×	`cube-unmult_binary64` `+-rgt-identity_binary64`
3×	`mul-1-neg_binary64` `distribute-rgt-out--_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `div0_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `associate--l-_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` `unpow3_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` `/-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	66	61
2	195	61
3	674	61
4	2578	61
5	5613	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

51.6b

Counts

2 → 1

Compiler

Compiled 80 to 59 computations (26.3% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.0b	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
14.8b	(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))))))
23.5b	(/.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)))
37.9b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite955.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

49.7b

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`
31×	`flip3-+_binary64` `flip-+_binary64`
24×	`frac-add_binary64` `frac-times_binary64`
20×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
17×	`pow1_binary64`
16×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `flip3--_binary64` `flip--_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))))))
20.0ms	(/.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)

series3.4s (15.3%)

Error

29.0b

Counts

4 → 83

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)))
1.3s	(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))))))
121.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
83.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 30003 to 22721 computations (24.3% saved)

simplify377.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

917×	`times-frac_binary64`
572×	`*-commutative_binary64`
269×	`associate-r_binary64`
245×	`+-commutative_binary64`
183×	`associate-+r+_binary64`
124×	`associate-/l*_binary64`
104×	`associate-*r/_binary64`
47×	`associate-*l/_binary64`
45×	`sub-neg_binary64` `associate-l_binary64`
42×	`associate-/r*_binary64`
39×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
31×	`sqr-pow_binary64`
23×	`associate--l+_binary64`
21×	`distribute-frac-neg_binary64`
20×	`associate--r+_binary64`
17×	`cancel-sign-sub-inv_binary64`
16×	`unpow3_binary64` `cube-mult_binary64`
13×	`mul-1-neg_binary64`
10×	`div-sub_binary64`
9×	`cube-prod_binary64` `/-rgt-identity_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`unpow2_binary64` `unpow1_binary64`
5×	`log-prod_binary64` `exp-prod_binary64` `cube-unmult_binary64`
4×	`rem-sqrt-square_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
3×	`exp-sum_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
2×	`log-div_binary64` `exp-diff_binary64` `pow-sqr_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
1×	`pow-plus_binary64` `exp-neg_binary64` `1-exp_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out_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` `unsub-neg_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` `unswap-sqr_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-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

241 → 213

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1358	24042
1	4076	23692
2	5462	23692

prune447.0ms (2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	196	17	213
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	17	214

Error

28.5b

Counts

214 → 17

Compiler

Compiled 18517 to 8976 computations (51.5% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 -1/2 (/.f64 F A))
0.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
12.3b	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

rewrite115.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

28.4b

Rules

23×	`add-sqr-sqrt_binary64`
17×	`associate-r_binary64`
15×	`pow1_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
9×	`associate-l_binary64`
7×	`pow-prod-down_binary64`
6×	`sqrt-pow1_binary64` `sqrt-prod_binary64`
4×	`associate-*r/_binary64` `unswap-sqr_binary64`
3×	`pow1/2_binary64` `add-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`sqrt-div_binary64` `*-commutative_binary64`
1×	`sqrt-unprod_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64`

Counts

3 → 72

Calls

3 calls:

9.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
7.0ms	(*.f64 -1/2 (/.f64 F A))
4.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

Compiler

Compiled 1062 to 739 computations (30.4% saved)

series56.0ms (0.2%)

Error

28.5b

Counts

3 → 18

Calls

3 calls:

22.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
17.0ms	(*.f64 -1/2 (/.f64 F A))
16.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

Compiler

Compiled 512 to 562 computations (-9.8% saved)

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

670×	`associate-*r/_binary64`
353×	`associate-l_binary64`
288×	`associate-/r/_binary64`
284×	`associate-/l/_binary64`
276×	`associate-r_binary64`
261×	`associate-+l+_binary64`
251×	`times-frac_binary64`
231×	`associate-/r*_binary64`
216×	`unsub-neg_binary64`
180×	`associate-*l/_binary64`
179×	`associate-/l*_binary64`
165×	`distribute-rgt-neg-in_binary64`
134×	`*-commutative_binary64`
131×	`distribute-lft-neg-in_binary64`
124×	`distribute-rgt-in_binary64`
115×	`sqr-pow_binary64`
104×	`sub-neg_binary64`
99×	`neg-sub0_binary64`
94×	`distribute-lft-in_binary64`
92×	`neg-mul-1_binary64`
77×	`*-lft-identity_binary64`
74×	`distribute-neg-frac_binary64`
57×	`div-sub_binary64` `cancel-sign-sub-inv_binary64`
43×	`associate--r+_binary64`
42×	`associate--l+_binary64`
40×	`associate-+l-_binary64`
38×	`pow-sqr_binary64`
37×	`*-rgt-identity_binary64`
35×	`associate-+r+_binary64`
30×	`swap-sqr_binary64`
28×	`distribute-lft-neg-out_binary64`
27×	`associate--l-_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`associate--r-_binary64`
23×	`log-prod_binary64`
22×	`distribute-neg-in_binary64`
20×	`exp-prod_binary64` `unswap-sqr_binary64`
19×	`associate-+r-_binary64` `+-commutative_binary64`
18×	`rem-sqrt-square_binary64`
16×	`cube-prod_binary64` `div0_binary64`
14×	`mul-1-neg_binary64`
13×	`/-rgt-identity_binary64`
11×	`mul0-rgt_binary64` `mul0-lft_binary64` `distribute-frac-neg_binary64`
9×	`log-div_binary64`
8×	`sub0-neg_binary64`
7×	`unpow1/2_binary64`
6×	`cube-unmult_binary64` `cube-div_binary64` `distribute-rgt-out_binary64`
5×	`unpow3_binary64` `distribute-lft-out_binary64`
4×	`--rgt-identity_binary64` `+-rgt-identity_binary64`
3×	`pow-plus_binary64` `cube-mult_binary64` `distribute-rgt1-in_binary64`
2×	`rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_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` `+-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` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

90 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	1103
1	280	1045
2	764	1045
3	1840	1045
4	3475	1045
5	3919	1045
6	4876	1045
7	4948	1045

prune52.0ms (0.2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	35	24	59

Error

28.5b

Counts

59 → 24

Compiler

Compiled 991 to 773 computations (22% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

12.3b

(sqrt.f64 (neg.f64 (/.f64 F A)))

rewrite51.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

25.5b

Rules

30×	`sqrt-prod_binary64`
18×	`times-frac_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
13×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`pow1_binary64` `div-inv_binary64`
1×	`pow1/2_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `distribute-neg-frac_binary64` `sqrt-div_binary64` `neg-mul-1_binary64` `rem-sqrt-square_binary64`

Counts

1 → 41

Calls

1 calls:

4.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 524 to 217 computations (58.6% saved)

series13.0ms (0.1%)

Error

28.5b

Counts

1 → 6

Calls

1 calls:

13.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 128 to 140 computations (-9.4% saved)

simplify211.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

818×	`div-sub_binary64`
815×	`unswap-sqr_binary64`
812×	`unsub-neg_binary64`
583×	`associate-/l*_binary64`
490×	`sub-neg_binary64`
411×	`times-frac_binary64`
288×	`associate-/l/_binary64`
284×	`neg-sub0_binary64`
280×	`distribute-rgt-in_binary64`
276×	`neg-mul-1_binary64`
275×	`associate-/r*_binary64`
190×	`distribute-lft-in_binary64`
186×	`associate-/r/_binary64`
185×	`*-commutative_binary64`
177×	`associate-*l/_binary64`
171×	`cancel-sign-sub-inv_binary64`
166×	`associate-r_binary64`
164×	`associate-l_binary64`
160×	`distribute-frac-neg_binary64`
155×	`distribute-rgt-neg-out_binary64`
139×	`distribute-rgt-neg-in_binary64`
120×	`distribute-lft-neg-out_binary64`
108×	`associate-*r/_binary64`
104×	`+-commutative_binary64`
102×	`associate-+l+_binary64`
101×	`*-lft-identity_binary64` `associate--r-_binary64`
100×	`associate-+l-_binary64`
98×	`distribute-lft-neg-in_binary64`
92×	`cube-prod_binary64`
91×	`sqr-pow_binary64` `associate--r+_binary64`
83×	`/-rgt-identity_binary64`
79×	`distribute-neg-out_binary64`
78×	`distribute-rgt-out_binary64`
73×	`*-rgt-identity_binary64`
70×	`mul0-rgt_binary64`
67×	`div0_binary64`
66×	`mul0-lft_binary64`
65×	`distribute-neg-frac_binary64`
62×	`remove-double-div_binary64` `distribute-neg-in_binary64`
59×	`associate-+r-_binary64`
55×	`associate--l-_binary64`
48×	`--rgt-identity_binary64`
46×	`distribute-rgt-out--_binary64`
45×	`sub0-neg_binary64`
35×	`pow-sqr_binary64`
34×	`unpow3_binary64`
30×	`cube-mult_binary64`
28×	`pow-plus_binary64` `rem-sqrt-square_binary64`
23×	`mul-1-neg_binary64`
19×	`associate--l+_binary64`
18×	`cancel-sign-sub_binary64`
15×	`distribute-rgt1-in_binary64` `associate-+r+_binary64`
12×	`distribute-lft-out--_binary64`
10×	`cube-unmult_binary64` `distribute-lft1-in_binary64`
8×	`distribute-lft-out_binary64`
7×	`remove-double-neg_binary64`
6×	`unpow2_binary64` `exp-prod_binary64`
5×	`unpow1_binary64`
4×	`unpow1/2_binary64` `exp-sum_binary64` `+-rgt-identity_binary64`
3×	`rec-exp_binary64`
2×	`log-prod_binary64` `exp-diff_binary64` `count-2_binary64`
1×	`log-div_binary64` `1-exp_binary64` `rem-square-sqrt_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` `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` `prod-exp_binary64` `exp-neg_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` `sqr-neg_binary64` `+-lft-identity_binary64` `*-inverses_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`

Counts

47 → 24

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	115	696
1	201	676
2	373	676
3	574	676
4	1047	676
5	1727	676
6	2083	676
7	2192	676
8	2477	676
9	2775	676
10	3161	676
11	4019	671
12	4372	671
13	4745	671
14	4604	671

prune44.0ms (0.2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	6	16	22
Picked	1	0	1
Done	0	1	1
Total	24	24	48

Error

25.5b

Counts

48 → 24

Compiler

Compiled 874 to 612 computations (30% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(sqrt.f64 (/.f64 -1 A))
0.2b	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))

rewrite91.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

25.5b

Rules

36×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
21×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`associate-r_binary64`
7×	`pow1_binary64`
6×	`unswap-sqr_binary64` `associate-l_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/2_binary64` `pow-prod-down_binary64` `sqrt-pow1_binary64`
2×	`add-log-exp_binary64` `sqrt-div_binary64` `div-inv_binary64` `rem-sqrt-square_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

2 → 68

Calls

2 calls:

11.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
3.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 878 to 598 computations (31.9% saved)

series23.0ms (0.1%)

Error

25.5b

Counts

2 → 9

Calls

2 calls:

16.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
6.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 213 to 231 computations (-8.5% saved)

simplify159.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

751×	`unsub-neg_binary64`
593×	`div-sub_binary64`
369×	`associate-/r*_binary64`
359×	`neg-mul-1_binary64`
330×	`unswap-sqr_binary64`
270×	`neg-sub0_binary64`
234×	`times-frac_binary64`
224×	`associate-l_binary64`
194×	`sub-neg_binary64`
192×	`associate-+l+_binary64`
179×	`associate-/l/_binary64`
163×	`associate-/l*_binary64`
161×	`*-commutative_binary64`
154×	`distribute-frac-neg_binary64`
149×	`associate-r_binary64`
142×	`associate-/r/_binary64`
140×	`sqr-pow_binary64`
118×	`distribute-rgt-neg-out_binary64`
105×	`*-lft-identity_binary64`
94×	`rem-sqrt-square_binary64`
93×	`distribute-lft-neg-out_binary64`
87×	`distribute-rgt-neg-in_binary64` `associate-*l/_binary64`
85×	`*-rgt-identity_binary64`
81×	`pow-sqr_binary64`
80×	`associate-*r/_binary64`
76×	`/-rgt-identity_binary64`
72×	`associate-+r+_binary64`
63×	`distribute-lft-neg-in_binary64`
58×	`distribute-neg-frac_binary64`
56×	`associate-+l-_binary64`
46×	`distribute-rgt-in_binary64`
45×	`associate--l+_binary64`
43×	`distribute-lft-in_binary64`
23×	`mul0-rgt_binary64` `div0_binary64` `distribute-lft-out_binary64`
21×	`distribute-rgt-out_binary64`
20×	`+-commutative_binary64`
19×	`cancel-sign-sub-inv_binary64`
18×	`mul0-lft_binary64`
17×	`mul-1-neg_binary64`
16×	`cube-prod_binary64`
14×	`unpow3_binary64`
12×	`remove-double-div_binary64`
11×	`log-prod_binary64` `cube-unmult_binary64`
10×	`exp-prod_binary64`
8×	`cube-mult_binary64` `sub0-neg_binary64` `--rgt-identity_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`log-div_binary64`
5×	`pow-plus_binary64` `distribute-lft1-in_binary64`
3×	`unpow1/2_binary64` `cube-div_binary64` `swap-sqr_binary64` `associate--l-_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `exp-diff_binary64` `exp-sum_binary64` `rem-square-sqrt_binary64` `count-2_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-inverses_binary64` `associate--r+_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-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` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_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` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

77 → 35

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1037
1	181	992
2	429	989
3	626	989
4	1278	989
5	1968	989
6	2505	989
7	3508	989
8	4451	989
9	4988	989
10	4831	989

prune34.0ms (0.2%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	2	20	22
Picked	0	1	1
Done	0	1	1
Total	32	27	59

Error

25.5b

Counts

59 → 27

Compiler

Compiled 329 to 227 computations (31% saved)

regimes6.8s (30.5%)

Accuracy

Total 5.0b remaining (16.1%)

Threshold costs 0b (0%)

Compiler

Compiled 71485 to 54781 computations (23.4% saved)

bsearch17.0ms (0.1%)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative_binary64`
22×	`+-commutative_binary64`
19×	`sub-neg_binary64`
17×	`neg-mul-1_binary64` `neg-sub0_binary64`
11×	`distribute-rgt-neg-in_binary64`
10×	`distribute-lft-neg-in_binary64`
5×	`cancel-sign-sub-inv_binary64`
2×	`distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft-neg-out_binary64`
1×	`if-if-or-not_binary64` `1-exp_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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	390
1	103	390
2	153	388
3	185	388
4	202	388
5	206	388
6	203	388

end24.0ms (0.1%)

Compiler: Compiled 756 to 528 computations (30.2% saved)

sample5.9s (26.3%)

Algorithm

1×

intervals

Results

833.0ms	5507×	body	128	valid
522.0ms	871×	body	1024	valid
518.0ms	620×	body	512	valid
508.0ms	648×	body	2048	valid
505.0ms	823×	body	1024	nan
454.0ms	586×	body	2048	nan
422.0ms	2896×	body	128	nan
233.0ms	517×	body	512	nan
111.0ms	353×	body	256	valid
80.0ms	284×	body	256	nan
1.0ms	1×	body	4096	valid

Compiler

Compiled 968 to 766 computations (20.9% saved)

Details

analyze3.2s (14.3%)

sample158.0ms (0.7%)

simplify44.0ms (0.2%)

prune4.0ms (0%)

localize22.0ms (0.1%)

rewrite955.0ms (4.3%)

series3.4s (15.3%)

simplify377.0ms (1.7%)

prune447.0ms (2%)

localize8.0ms (0%)

rewrite115.0ms (0.5%)

series56.0ms (0.2%)

simplify121.0ms (0.5%)

prune52.0ms (0.2%)

localize5.0ms (0%)

rewrite51.0ms (0.2%)

series13.0ms (0.1%)

simplify211.0ms (0.9%)

prune44.0ms (0.2%)

localize7.0ms (0%)

rewrite91.0ms (0.4%)

series23.0ms (0.1%)

simplify159.0ms (0.7%)

prune34.0ms (0.2%)

regimes6.8s (30.5%)

bsearch17.0ms (0.1%)

simplify15.0ms (0.1%)

end24.0ms (0.1%)

sample5.9s (26.3%)

Profiling