Details

analyze493.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
0	3	3
1	3	3

Search

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

Compiler

Compiled 30 to 24 computations (20% saved)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	182×	body	128	valid
8.0ms	283×	pre	128	true
7.0ms	74×	body	256	valid
1.0ms	27×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify310.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (305.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	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

41.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
37.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite145.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

38.3b

Rules

21×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`difference-of-squares_binary64_2434` `sqrt-prod_binary64_2481` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`flip3--_binary64_2469` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`
3×	`distribute-lft-out--_binary64_2417`
2×	`diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412` `sqrt-div_binary64_2482`
1×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r*_binary64_2409` `pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series681.0ms (5.5%)

Error

0.6b

Counts

4 → 72

Calls

4 calls:

199.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
152.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
150.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
105.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune162.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	11	147

Error

0.5b

Counts

147 → 11

Compiler

Compiled 3478 to 1880 computations (45.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite598.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

155×	`add-exp-log_binary64_2503`
72×	`prod-exp_binary64_2514`
60×	`div-exp_binary64_2516`
50×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
40×	`add-sqr-sqrt_binary64_2487`
31×	`unpow-prod-down_binary64_2544`
29×	`add-cbrt-cube_binary64_2501`
26×	`times-frac_binary64_2471` `associate-/r*_binary64_2409`
23×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
15×	`sqr-pow_binary64_2437`
12×	`unswap-sqr_binary64_2433` `cube-prod_binary64_2493` `associate-l_binary64_2406`
8×	`cbrt-undiv_binary64_2499` `cbrt-unprod_binary64_2498`
7×	`associate-r_binary64_2405`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504`
3×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l*_binary64_2410` `unpow3_binary64_2531` `cube-mult_binary64_2495`
1×	`*-commutative_binary64_2396`

Counts

4 → 202

Calls

4 calls:

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 (.f64 c c)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series1.0s (8.1%)

Error

0.5b

Counts

4 → 33

Calls

4 calls:

346.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
285.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
211.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
116.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5089	3808

prune605.0ms (4.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	235	11	246

Error

0.5b

Counts

246 → 11

Compiler

Compiled 10782 to 6392 computations (40.7% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite724.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

98×	`add-exp-log_binary64_2503`
63×	`times-frac_binary64_2471`
46×	`pow1_binary64_2526`
42×	`unpow-prod-down_binary64_2544` `div-exp_binary64_2516`
40×	`pow-exp_binary64_2533`
39×	`prod-exp_binary64_2514`
36×	`pow-to-exp_binary64_2534`
35×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
26×	`add-cbrt-cube_binary64_2501`
20×	`sqr-pow_binary64_2437`
18×	`pow-prod-down_binary64_2536`
14×	`associate-/r*_binary64_2409`
10×	`cbrt-unprod_binary64_2498`
9×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `associate-/l*_binary64_2410`
4×	`add-log-exp_binary64_2504` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
3×	`pow-unpow_binary64_2542` `cbrt-undiv_binary64_2499`
2×	`pow-pow_binary64_2537` `rem-cube-cbrt_binary64_2488` `pow-plus_binary64_2528` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`
1×	`pow2_binary64_2546` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

4 → 207

Calls

4 calls:

9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 11684 to 6783 computations (41.9% saved)

series866.0ms (6.9%)

Error

0.5b

Counts

4 → 30

Calls

4 calls:

322.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
312.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
91.0ms	(pow.f64 (*.f64 a c) 3)
82.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4500 to 3099 computations (31.1% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4965	3551
1	4965	3551

prune750.0ms (6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	235	2	237
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	236	12	248

Error

0.5b

Counts

248 → 12

Compiler

Compiled 12789 to 7469 computations (41.6% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)
17.6b	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))

rewrite385.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

50×	`pow1_binary64_2526`
40×	`log-pow_binary64_2554`
39×	`exp-prod_binary64_2517`
35×	`times-frac_binary64_2471`
25×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
24×	`unpow-prod-down_binary64_2544`
22×	`add-exp-log_binary64_2503`
19×	`add-cbrt-cube_binary64_2501` `pow-prod-down_binary64_2536`
14×	`sqr-pow_binary64_2437`
10×	`prod-exp_binary64_2514`
9×	`cbrt-unprod_binary64_2498`
6×	`pow-unpow_binary64_2542`
4×	`add-log-exp_binary64_2504` `pow-pow_binary64_2537` `pow-exp_binary64_2533` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
3×	`log-prod_binary64_2551`
2×	`pow-to-exp_binary64_2534` `rem-cube-cbrt_binary64_2488` `pow-plus_binary64_2528`
1×	`div-inv_binary64_2462` `rem-log-exp_binary64_2506` `unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `pow2_binary64_2546` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

4 → 124

Calls

4 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 7051 to 4027 computations (42.9% saved)

series1.1s (9.2%)

Error

0.5b

Counts

4 → 29

Calls

4 calls:

808.0ms	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))
101.0ms	(pow.f64 (*.f64 a c) 4)
97.0ms	(pow.f64 (*.f64 a c) 3)
82.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4227 to 2856 computations (32.4% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5459	1565

prune396.0ms (3.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	153	12	165

Error

0.5b

Counts

165 → 12

Compiler

Compiled 8024 to 4586 computations (42.8% saved)

regimes672.0ms (5.4%)

Accuracy

Total 2.5b remaining (88.1%)

Threshold costs 0b (0%)

Compiler

Compiled 10012 to 7094 computations (29.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	201	63
1	201	63

end0.0ms (0%)

sample3.1s (24.6%)

Algorithm

1×

intervals

Results

275.0ms	2820×	body	256	valid
272.0ms	8979×	pre	128	true
269.0ms	5178×	body	128	valid
44.0ms	979×	body	128	nan
0.0ms	2×	body	512	valid

Compiler

Compiled 2565 to 1823 computations (28.9% saved)

Details

analyze493.0ms (3.9%)

sample40.0ms (0.3%)

simplify310.0ms (2.5%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite145.0ms (1.2%)

series681.0ms (5.5%)

simplify77.0ms (0.6%)

prune162.0ms (1.3%)

localize26.0ms (0.2%)

rewrite598.0ms (4.8%)

series1.0s (8.1%)

simplify96.0ms (0.8%)

prune605.0ms (4.8%)

localize30.0ms (0.2%)

rewrite724.0ms (5.8%)

series866.0ms (6.9%)

simplify90.0ms (0.7%)

prune750.0ms (6%)

localize29.0ms (0.2%)

rewrite385.0ms (3.1%)

series1.1s (9.2%)

simplify65.0ms (0.5%)

prune396.0ms (3.2%)

regimes672.0ms (5.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.1s (24.6%)

Profiling