Details

analyze2.8s (15.6%)

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`
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`
34×	`unswap-sqr_binary64`
28×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
23×	`distribute-lft-neg-out_binary64`
20×	`unpow3_binary64` `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×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64` `cube-prod_binary64` `fabs-mul_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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	4995	427
6	4972	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)

sample149.0ms (0.8%)

Algorithm

1×

intervals

Results

30.0ms	182×	body	128	valid
17.0ms	22×	body	2048	valid
17.0ms	22×	body	2048	nan
12.0ms	22×	body	1024	nan
11.0ms	21×	body	1024	valid
11.0ms	77×	body	128	nan
9.0ms	21×	body	512	nan
7.0ms	16×	body	512	valid
4.0ms	15×	body	256	valid
3.0ms	11×	body	256	nan

Compiler

Compiled 81 to 69 computations (14.8% saved)

simplify41.0ms (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` `fabs-mul_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` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	5617	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)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
18.0b	(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))))))
22.5b	(/.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)))
37.6b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite995.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

50.3b

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:

26.0ms	(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)))
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)

series1.4s (7.7%)

Error

29.2b

Counts

4 → 76

Calls

4 calls:

600.0ms	(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))))))
483.0ms	(/.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)))
116.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
80.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 14345 to 10764 computations (25% saved)

simplify256.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

331×	`associate-/l*_binary64`
296×	`distribute-rgt-in_binary64`
289×	`distribute-lft-in_binary64`
273×	`times-frac_binary64`
253×	`*-commutative_binary64`
191×	`associate-/r*_binary64`
104×	`associate-r_binary64`
98×	`sub-neg_binary64`
92×	`cancel-sign-sub-inv_binary64`
74×	`neg-sub0_binary64`
72×	`+-commutative_binary64`
61×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
51×	`associate-/r/_binary64`
46×	`distribute-neg-in_binary64`
43×	`div-sub_binary64`
42×	`distribute-lft-neg-in_binary64`
39×	`associate-l_binary64`
37×	`associate-/l/_binary64`
36×	`distribute-frac-neg_binary64`
34×	`sqr-pow_binary64`
30×	`associate-*r/_binary64`
26×	`associate-+r+_binary64`
23×	`mul-1-neg_binary64`
18×	`distribute-lft-neg-out_binary64`
17×	`distribute-rgt-out_binary64`
16×	`associate--l+_binary64`
15×	`distribute-rgt-neg-out_binary64`
13×	`distribute-neg-frac_binary64`
12×	`swap-sqr_binary64` `associate--r+_binary64`
11×	`unpow3_binary64` `cube-mult_binary64`
9×	`cube-prod_binary64` `/-rgt-identity_binary64`
7×	`difference-of-squares_binary64` `associate-*l/_binary64`
6×	`unswap-sqr_binary64` `distribute-lft-out_binary64`
5×	`log-prod_binary64` `unpow2_binary64` `unpow1_binary64` `exp-prod_binary64` `cube-unmult_binary64`
4×	`rem-sqrt-square_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`
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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

234 → 206

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	683	14703
1	1934	14269
2	5061	14269

prune370.0ms (2.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	186	20	206
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	187	20	207

Error

28.5b

Counts

207 → 20

Compiler

Compiled 12769 to 6692 computations (47.6% 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))))
15.1b	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

rewrite117.0ms (0.6%)

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 (0.3%)

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

Compiler

Compiled 512 to 562 computations (-9.8% saved)

simplify118.0ms (0.7%)

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`
17×	`fabs-mul_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`
10×	`fabs-sqr_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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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	3476	1045
5	3920	1045
6	4879	1045
7	4960	1045

prune63.0ms (0.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	37	25	62

Error

28.4b

Counts

62 → 25

Compiler

Compiled 1353 to 945 computations (30.2% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

15.0b

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

rewrite52.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

25.6b

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)

series14.0ms (0.1%)

Error

28.4b

Counts

1 → 6

Calls

1 calls:

14.0ms

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

Compiler

Compiled 128 to 140 computations (-9.4% saved)

simplify249.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

766×	`associate-/l*_binary64`
667×	`div-sub_binary64`
665×	`unsub-neg_binary64`
544×	`unswap-sqr_binary64`
493×	`sub-neg_binary64`
453×	`neg-sub0_binary64`
435×	`neg-mul-1_binary64` `associate-/l/_binary64`
411×	`times-frac_binary64`
296×	`distribute-rgt-in_binary64`
275×	`associate-/r*_binary64`
268×	`cancel-sign-sub-inv_binary64`
263×	`cube-prod_binary64`
261×	`distribute-frac-neg_binary64`
253×	`associate-/r/_binary64`
240×	`distribute-rgt-neg-out_binary64`
205×	`*-commutative_binary64`
203×	`distribute-lft-in_binary64`
197×	`distribute-lft-neg-out_binary64`
196×	`distribute-neg-frac_binary64`
166×	`associate-r_binary64`
164×	`associate-l_binary64`
123×	`distribute-rgt-neg-in_binary64`
115×	`remove-double-div_binary64`
113×	`unpow3_binary64`
109×	`cube-mult_binary64`
107×	`associate--r-_binary64`
103×	`+-commutative_binary64`
100×	`associate-*l/_binary64`
99×	`sqr-pow_binary64`
97×	`associate--r+_binary64`
95×	`associate-+l-_binary64`
88×	`fabs-mul_binary64`
84×	`*-lft-identity_binary64`
81×	`/-rgt-identity_binary64`
80×	`mul0-rgt_binary64`
78×	`distribute-lft-neg-in_binary64`
76×	`mul0-lft_binary64`
74×	`associate-+r-_binary64`
66×	`remove-double-neg_binary64`
64×	`div0_binary64` `associate-*r/_binary64`
56×	`distribute-neg-out_binary64` `distribute-neg-in_binary64`
54×	`associate--l-_binary64`
53×	`*-rgt-identity_binary64`
43×	`fabs-div_binary64`
42×	`sub0-neg_binary64` `--rgt-identity_binary64`
40×	`rem-sqrt-square_binary64`
39×	`pow-plus_binary64`
36×	`pow-sqr_binary64`
31×	`mul-1-neg_binary64`
19×	`associate--l+_binary64`
18×	`fabs-sub_binary64`
15×	`associate-+r+_binary64`
14×	`log-div_binary64` `cube-div_binary64`
13×	`swap-sqr_binary64`
12×	`log-prod_binary64` `cube-unmult_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64`
11×	`cancel-sign-sub_binary64`
10×	`fabs-sqr_binary64`
8×	`exp-prod_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
7×	`+-lft-identity_binary64`
6×	`unpow2_binary64` `sqr-neg_binary64`
5×	`log-rec_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-sum_binary64`
4×	`sqr-abs_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
3×	`cube-neg_binary64` `+-rgt-identity_binary64`
2×	`exp-diff_binary64` `fabs-neg_binary64` `count-2_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `+-inverses_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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-fabs_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` `associate-+l+_binary64`

Counts

47 → 24

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	115	696
1	201	676
2	373	676
3	576	676
4	1053	676
5	1734	676
6	2095	676
7	2232	676
8	2380	676
9	2702	676
10	2888	671
11	4292	671
12	4188	671
13	4601	671
14	4848	671
15	4866	671
16	4650	671

prune50.0ms (0.3%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	5	19	24
Picked	0	1	1
Done	0	0	0
Total	23	26	49

Error

25.6b

Counts

49 → 26

Compiler

Compiled 1186 to 758 computations (36.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(sqrt.f64 (/.f64 -1 A))
0.3b	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))

rewrite96.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

25.6b

Rules

41×	`add-sqr-sqrt_binary64`
36×	`sqrt-prod_binary64`
22×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`associate-r_binary64`
7×	`pow1_binary64`
6×	`rem-sqrt-square_binary64` `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` `mul-fabs_binary64` `sqrt-div_binary64` `div-inv_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

2 → 70

Calls

2 calls:

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

Compiler

Compiled 897 to 610 computations (32% saved)

series25.0ms (0.1%)

Error

25.6b

Counts

2 → 9

Calls

2 calls:

18.0ms	(*.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)

simplify155.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

743×	`unsub-neg_binary64`
405×	`unswap-sqr_binary64`
386×	`associate-/r*_binary64`
360×	`div-sub_binary64`
299×	`neg-mul-1_binary64`
260×	`times-frac_binary64`
232×	`fabs-mul_binary64`
217×	`neg-sub0_binary64`
194×	`sub-neg_binary64`
192×	`associate-+l+_binary64`
187×	`associate-/l/_binary64`
185×	`*-commutative_binary64`
179×	`associate-/l*_binary64`
166×	`associate-r_binary64`
159×	`associate-/r/_binary64` `associate-l_binary64`
146×	`distribute-frac-neg_binary64`
135×	`sqr-pow_binary64`
112×	`distribute-rgt-neg-out_binary64`
96×	`*-lft-identity_binary64`
92×	`distribute-lft-neg-out_binary64`
89×	`associate-*r/_binary64`
88×	`distribute-rgt-neg-in_binary64`
83×	`*-rgt-identity_binary64`
79×	`pow-sqr_binary64`
74×	`/-rgt-identity_binary64`
72×	`associate-+r+_binary64`
63×	`distribute-lft-neg-in_binary64`
57×	`distribute-neg-frac_binary64`
56×	`associate-+l-_binary64`
46×	`distribute-rgt-in_binary64`
45×	`associate--l+_binary64`
43×	`rem-sqrt-square_binary64` `distribute-lft-in_binary64` `associate-*l/_binary64`
26×	`fabs-sqr_binary64`
23×	`mul0-rgt_binary64` `div0_binary64` `distribute-lft-out_binary64`
21×	`cancel-sign-sub-inv_binary64` `distribute-rgt-out_binary64`
20×	`+-commutative_binary64`
18×	`cube-prod_binary64` `mul-1-neg_binary64` `mul0-lft_binary64`
15×	`unpow3_binary64`
12×	`remove-double-div_binary64`
11×	`log-prod_binary64`
10×	`exp-prod_binary64` `cube-unmult_binary64`
8×	`sub0-neg_binary64` `--rgt-identity_binary64`
7×	`log-div_binary64` `distribute-rgt1-in_binary64`
6×	`fabs-div_binary64`
5×	`swap-sqr_binary64` `distribute-lft1-in_binary64`
4×	`pow-plus_binary64` `cube-div_binary64`
3×	`log-rec_binary64` `unpow1/2_binary64` `associate--l-_binary64`
2×	`exp-diff_binary64` `exp-sum_binary64` `rem-square-sqrt_binary64` `count-2_binary64`
1×	`unpow2_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-mult_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` `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` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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

79 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1061
1	184	1016
2	442	1013
3	655	1013
4	1312	1013
5	1988	1013
6	2558	1013
7	3524	1013
8	4722	1013
9	4996	1013
10	4841	1013

prune31.0ms (0.2%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	29	7	36
Fresh	3	21	24
Picked	0	1	1
Done	0	1	1
Total	32	30	62

Error

25.6b

Counts

62 → 30

Compiler

Compiled 338 to 233 computations (31.1% saved)

regimes5.4s (29.7%)

Accuracy

Total 5.7b remaining (18%)

Threshold costs 0b (0%)

Compiler

Compiled 57667 to 44573 computations (22.7% saved)

bsearch17.0ms (0.1%)

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

33×	`*-commutative_binary64`
28×	`+-commutative_binary64`
23×	`sub-neg_binary64`
19×	`neg-mul-1_binary64` `neg-sub0_binary64`
12×	`distribute-rgt-neg-in_binary64`
10×	`distribute-lft-neg-in_binary64`
6×	`cancel-sign-sub-inv_binary64`
3×	`distribute-frac-neg_binary64`
2×	`distribute-lft-neg-out_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `distribute-neg-frac_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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	432
1	131	432
2	191	432
3	223	432
4	236	432
5	234	432

end24.0ms (0.1%)

Compiler: Compiled 840 to 567 computations (32.5% saved)

sample5.6s (30.7%)

Algorithm

1×

intervals

Results

764.0ms	5582×	body	128	valid
496.0ms	852×	body	1024	valid
474.0ms	615×	body	2048	valid
473.0ms	828×	body	1024	nan
442.0ms	605×	body	2048	nan
400.0ms	2954×	body	128	nan
262.0ms	605×	body	512	valid
231.0ms	573×	body	512	nan
92.0ms	346×	body	256	valid
87.0ms	327×	body	256	nan

Compiler

Compiled 1333 to 939 computations (29.6% saved)

Details

analyze2.8s (15.6%)

sample149.0ms (0.8%)

simplify41.0ms (0.2%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite995.0ms (5.5%)

series1.4s (7.7%)

simplify256.0ms (1.4%)

prune370.0ms (2.1%)

localize8.0ms (0%)

rewrite117.0ms (0.6%)

series56.0ms (0.3%)

simplify118.0ms (0.7%)

prune63.0ms (0.3%)

localize5.0ms (0%)

rewrite52.0ms (0.3%)

series14.0ms (0.1%)

simplify249.0ms (1.4%)

prune50.0ms (0.3%)

localize9.0ms (0.1%)

rewrite96.0ms (0.5%)

series25.0ms (0.1%)

simplify155.0ms (0.9%)

prune31.0ms (0.2%)

regimes5.4s (29.7%)

bsearch17.0ms (0.1%)

simplify16.0ms (0.1%)

end24.0ms (0.1%)

sample5.6s (30.7%)

Profiling