Details

analyze809.0ms (4.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	13
0%	0%	100%	14
0%	0%	100%	14

Compiler

Compiled 60 to 48 computations (20% saved)

sample1.3s (7.2%)

Algorithm

2×

intervals

Results

35.0ms	1074×	pre	128	true
28.0ms	562×	body	128	nan
20.0ms	335×	body	128	valid
18.0ms	177×	body	256	valid

Compiler

Compiled 15857 to 14270 computations (10% saved)

simplify267.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (262.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

43.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
41.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite170.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

40.7b

Rules

20×	`add-sqr-sqrt_binary64_3510`
14×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `*-un-lft-identity_binary64_3488`
9×	`pow1_binary64_3549`
8×	`add-log-exp_binary64_3527` `add-cube-cbrt_binary64_3523`
6×	`difference-of-squares_binary64_3457` `times-frac_binary64_3494` `associate-/l*_binary64_3433`
4×	`cancel-sign-sub-inv_binary64_3454` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
3×	`flip3--_binary64_3492` `flip--_binary64_3463` `sqrt-prod_binary64_3504` `distribute-lft-out--_binary64_3440` `pow-prod-down_binary64_3559` `associate-r_binary64_3428`
2×	`diff-log_binary64_3580` `sub-neg_binary64_3481` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `associate-/l/_binary64_3435`
1×	`frac-2neg_binary64_3499` `div-sub_binary64_3493` `clear-num_binary64_3487` `div-inv_binary64_3485` `associate-/r_binary64_3432` `associate-l_binary64_3429` `-commutative_binary64_3419`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series925.0ms (5%)

Error

0.5b

Counts

4 → 60

Calls

4 calls:

283.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
248.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
225.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
91.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5268	2923

prune193.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	127	10	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	10	138

Error

0.4b

Counts

138 → 10

Compiler

Compiled 3309 to 1844 computations (44.3% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite692.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

167×	`add-exp-log_binary64_3526`
82×	`prod-exp_binary64_3537`
60×	`div-exp_binary64_3539`
46×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556`
37×	`add-cbrt-cube_binary64_3524`
28×	`associate-r_binary64_3428`
26×	`times-frac_binary64_3494`
25×	`add-sqr-sqrt_binary64_3510`
20×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
19×	`unpow-prod-down_binary64_3567`
14×	`cbrt-unprod_binary64_3521` `associate-/r*_binary64_3432`
8×	`cbrt-undiv_binary64_3522`
7×	`sqr-pow_binary64_3460` `cube-prod_binary64_3516`
6×	`pow1_binary64_3549`
5×	`unswap-sqr_binary64_3456`
4×	`add-log-exp_binary64_3527` `associate-l_binary64_3429`
3×	`div-inv_binary64_3485`
2×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `associate-/l_binary64_3433` `unpow3_binary64_3554` `cube-mult_binary64_3518` `-commutative_binary64_3419`
1×	`pow-prod-down_binary64_3559` `associate-*r/_binary64_3430`

Counts

4 → 183

Calls

4 calls:

13.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 9476 to 5922 computations (37.5% saved)

series1.5s (8.2%)

Error

0.4b

Counts

4 → 33

Calls

4 calls:

495.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
455.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
338.0ms	(.f64 3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))
145.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4455 to 3346 computations (24.9% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5035	3509

prune684.0ms (3.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	215	11	226

Error

0.4b

Counts

226 → 11

Compiler

Compiled 10801 to 6834 computations (36.7% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.4b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite560.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

46×	`pow1_binary64_3549`
36×	`add-exp-log_binary64_3526`
26×	`add-cbrt-cube_binary64_3524`
23×	`add-sqr-sqrt_binary64_3510`
19×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537`
13×	`unpow-prod-down_binary64_3567`
11×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `cbrt-unprod_binary64_3521`
10×	`associate-*r/_binary64_3430`
9×	`sqr-pow_binary64_3460` `unswap-sqr_binary64_3456`
8×	`pow-exp_binary64_3556` `associate-l_binary64_3429` `associate-r_binary64_3428`
7×	`pow-to-exp_binary64_3557` `associate-/l/_binary64_3435`
5×	`frac-sub_binary64_3497`
4×	`add-log-exp_binary64_3527` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461` `frac-add_binary64_3496`
3×	`pow-unpow_binary64_3565` `times-frac_binary64_3494` `associate-/l*_binary64_3433`
2×	`pow-pow_binary64_3560` `rem-cube-cbrt_binary64_3511` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `flip3-+_binary64_3491` `flip-+_binary64_3462`
1×	`unpow3_binary64_3554` `cube-mult_binary64_3518` `cube-prod_binary64_3516` `pow2_binary64_3569` `swap-sqr_binary64_3455` `frac-2neg_binary64_3499` `div-sub_binary64_3493` `clear-num_binary64_3487` `div-inv_binary64_3485` `flip3--_binary64_3492` `flip--_binary64_3463` `associate-/r*_binary64_3432`

Counts

4 → 127

Calls

4 calls:

30.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8846 to 5294 computations (40.2% saved)

series1.0s (5.5%)

Error

0.4b

Counts

4 → 39

Calls

4 calls:

469.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
180.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
156.0ms	(pow.f64 (*.f64 a c) 3)
143.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4933	4010
1	4933	4010

prune623.0ms (3.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	159	7	166
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	161	16	177

Error

0.3b

Counts

177 → 16

Compiler

Compiled 10300 to 6290 computations (38.9% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite564.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

56×	`times-frac_binary64_3494`
38×	`unpow-prod-down_binary64_3567`
33×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488` `add-exp-log_binary64_3526`
20×	`sqr-pow_binary64_3460`
16×	`pow-exp_binary64_3556`
13×	`pow1_binary64_3549`
12×	`div-exp_binary64_3539`
10×	`pow-to-exp_binary64_3557`
9×	`pow-unpow_binary64_3565` `add-cbrt-cube_binary64_3524` `unpow3_binary64_3554` `cube-mult_binary64_3518` `cube-prod_binary64_3516`
8×	`associate-/l*_binary64_3433`
7×	`associate-/r*_binary64_3432`
6×	`pow-pow_binary64_3560` `prod-exp_binary64_3537`
4×	`add-log-exp_binary64_3527`
3×	`pow-prod-down_binary64_3559`
2×	`rem-cube-cbrt_binary64_3511`
1×	`cbrt-unprod_binary64_3521` `unpow2_binary64_3553` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

4 → 151

Calls

4 calls:

7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 8619 to 5166 computations (40.1% saved)

series943.0ms (5.1%)

Error

0.3b

Counts

4 → 27

Calls

4 calls:

469.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
148.0ms	(pow.f64 (*.f64 a c) 4)
135.0ms	(pow.f64 (*.f64 a c) 3)
121.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4131 to 2922 computations (29.3% saved)

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5251	2662

prune594.0ms (3.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	179	15	194

Error

0.3b

Counts

194 → 15

Compiler

Compiled 9570 to 5714 computations (40.3% saved)

regimes1.7s (9.2%)

Accuracy

Total 2.6b remaining (88.9%)

Threshold costs 0b (0%)

Compiler

Compiled 25374 to 17418 computations (31.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample5.5s (29.8%)

Algorithm

1×

intervals

Results

485.0ms	16144×	pre	128	true
394.0ms	8144×	body	128	nan
293.0ms	2965×	body	256	valid
253.0ms	5033×	body	128	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 4964 to 3409 computations (31.3% saved)

Details

analyze809.0ms (4.4%)

sample1.3s (7.2%)

simplify267.0ms (1.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite170.0ms (0.9%)

series925.0ms (5%)

simplify56.0ms (0.3%)

prune193.0ms (1%)

localize31.0ms (0.2%)

rewrite692.0ms (3.7%)

series1.5s (8.2%)

simplify89.0ms (0.5%)

prune684.0ms (3.7%)

localize35.0ms (0.2%)

rewrite560.0ms (3%)

series1.0s (5.5%)

simplify86.0ms (0.5%)

prune623.0ms (3.4%)

localize35.0ms (0.2%)

rewrite564.0ms (3%)

series943.0ms (5.1%)

simplify67.0ms (0.4%)

prune594.0ms (3.2%)

regimes1.7s (9.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.5s (29.8%)

Profiling