Details

analyze1.0s (6.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4999	416
1	4999	416
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample109.0ms (0.7%)

Algorithm

1×

intervals

Results

27.0ms	334×	body	128	nan
23.0ms	240×	body	128	valid
12.0ms	149×	body	128	invalid
3.0ms	4×	body	1024	valid
2.0ms	6×	body	512	valid
1.0ms	8×	body	256	invalid
1.0ms	4×	body	512	invalid
1.0ms	6×	body	256	valid
1.0ms	1×	body	1024	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4948	26
1	4948	26

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

2.0b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
1.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
6.1b	(log.f64 (-.f64 1 z))

rewrite188.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

33×	`add-sqr-sqrt_binary64_2487`
32×	`*-un-lft-identity_binary64_2465`
30×	`log-prod_binary64_2551`
24×	`distribute-rgt-in_binary64_2415` `associate--l+_binary64_2402` `distribute-lft-in_binary64_2414`
20×	`add-cube-cbrt_binary64_2500` `associate-+r+_binary64_2397`
18×	`cancel-sign-sub-inv_binary64_2431`
14×	`associate-+l+_binary64_2398`
10×	`associate-*r/_binary64_2407`
9×	`add-log-exp_binary64_2504`
8×	`pow1_binary64_2526`
7×	`difference-of-squares_binary64_2434` `add-exp-log_binary64_2503`
6×	`flip3--_binary64_2469` `flip--_binary64_2440` `add-cbrt-cube_binary64_2501` `sub-neg_binary64_2458` `associate-r_binary64_2405`
5×	`distribute-lft-out--_binary64_2417`
4×	`frac-add_binary64_2473`
3×	`associate-l_binary64_2406` `exp-prod_binary64_2517`
2×	`log-pow_binary64_2554` `log-div_binary64_2552` `sum-log_binary64_2556` `rem-exp-log_binary64_2505`
1×	`rem-log-exp_binary64_2506` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `exp-sum_binary64_2511`

Counts

4 → 116

Calls

4 calls:

18.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
10.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 3266 to 1571 computations (51.9% saved)

series1.5s (9.6%)

Error

0.0b

Counts

4 → 70

Calls

4 calls:

777.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
356.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
215.0ms	(*.f64 y (-.f64 (log.f64 z) t))
17.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 5323 to 3503 computations (34.2% saved)

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5043	4608

prune207.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	183	3	186
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	184	4	188

Error

0.0b

Counts

188 → 4

Compiler

Compiled 4813 to 2286 computations (52.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (neg.f64 z) b)))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
1.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))

rewrite156.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-sqr-sqrt_binary64_2487`
22×	`*-un-lft-identity_binary64_2465`
19×	`add-cube-cbrt_binary64_2500`
18×	`distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-in_binary64_2414`
14×	`associate-+l+_binary64_2398`
12×	`log-prod_binary64_2551` `associate--l+_binary64_2402`
10×	`associate-r/_binary64_2407` `associate-r*_binary64_2405`
9×	`add-log-exp_binary64_2504` `pow1_binary64_2526`
8×	`add-cbrt-cube_binary64_2501` `associate-+r+_binary64_2397`
7×	`add-exp-log_binary64_2503`
6×	`sub-neg_binary64_2458` `associate-l_binary64_2406`
5×	`flip3--_binary64_2469` `flip--_binary64_2440`
4×	`frac-add_binary64_2473`
3×	`exp-prod_binary64_2517`
2×	`sum-log_binary64_2556` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `distribute-lft-out--_binary64_2417` `*-commutative_binary64_2396` `exp-sum_binary64_2511` `rem-exp-log_binary64_2505`
1×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395` `difference-of-squares_binary64_2434` `log-pow_binary64_2554`

Counts

4 → 106

Calls

4 calls:

15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
13.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (neg.f64 z) b)))))
10.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 2812 to 572 computations (79.7% saved)

series1.7s (11.1%)

Error

0.0b

Counts

4 → 98

Calls

4 calls:

558.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (neg.f64 z) b)))))
550.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
259.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
211.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 7477 to 3500 computations (53.2% saved)

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5153	5731

prune169.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	200	4	204
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	202	6	208

Error

0.0b

Counts

208 → 6

Compiler

Compiled 5153 to 989 computations (80.8% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 y t))))
0.8b	(+.f64 (.f64 a (+.f64 z b)) (.f64 y t))
1.0b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))

rewrite228.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

38×	`add-sqr-sqrt_binary64_2487`
37×	`*-un-lft-identity_binary64_2465`
34×	`add-cube-cbrt_binary64_2500`
28×	`times-frac_binary64_2471`
19×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
18×	`cancel-sign-sub-inv_binary64_2431`
16×	`associate-+l+_binary64_2398`
15×	`unpow-prod-down_binary64_2544`
12×	`log-prod_binary64_2551` `associate--l+_binary64_2402`
10×	`associate-*r/_binary64_2407`
8×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-+r+_binary64_2397` `exp-sum_binary64_2511`
7×	`pow1_binary64_2526` `associate-/l*_binary64_2410`
6×	`sub-neg_binary64_2458` `associate-r_binary64_2405`
5×	`flip3--_binary64_2469` `flip--_binary64_2440` `sqr-pow_binary64_2437`
4×	`frac-add_binary64_2473` `associate-/r*_binary64_2409`
3×	`div-exp_binary64_2516` `associate-l_binary64_2406`
2×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395` `distribute-lft-out--_binary64_2417`
1×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `difference-of-squares_binary64_2434` `log-pow_binary64_2554` `*-commutative_binary64_2396`

Counts

4 → 140

Calls

4 calls:

13.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
12.0ms	(/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 y t))))
11.0ms	(*.f64 y (-.f64 (log.f64 z) t))
7.0ms	(+.f64 (.f64 a (+.f64 z b)) (.f64 y t))

Compiler

Compiled 6184 to 1034 computations (83.3% saved)

series1.8s (11.9%)

Error

0.0b

Counts

4 → 98

Calls

4 calls:

636.0ms	(/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 y t))))
570.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
274.0ms	(+.f64 (.f64 a (+.f64 z b)) (.f64 y t))
224.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 9868 to 4648 computations (52.9% saved)

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4976	5879
1	4976	5879

prune252.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	237	1	238
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	239	5	244

Error

0.0b

Counts

244 → 5

Compiler

Compiled 9626 to 1261 computations (86.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 y t)))
0.0b	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (*.f64 y t)))))
0.3b	(/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 y t))))
0.8b	(+.f64 (.f64 a (+.f64 z b)) (.f64 y t))

rewrite176.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

59×	`times-frac_binary64_2471`
50×	`add-sqr-sqrt_binary64_2487`
40×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
32×	`associate-r_binary64_2405`
28×	`unpow-prod-down_binary64_2544`
16×	`exp-sum_binary64_2511`
13×	`add-exp-log_binary64_2503`
11×	`add-cbrt-cube_binary64_2501`
10×	`sqr-pow_binary64_2437`
9×	`add-log-exp_binary64_2504`
7×	`associate-/l*_binary64_2410`
6×	`pow1_binary64_2526` `div-exp_binary64_2516`
4×	`associate-/r*_binary64_2409` `prod-exp_binary64_2514` `unswap-sqr_binary64_2433`
3×	`associate-l_binary64_2406` `exp-prod_binary64_2517`
2×	`sum-log_binary64_2556` `associate-+l+_binary64_2398` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `cbrt-unprod_binary64_2498` `rem-exp-log_binary64_2505`
1×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `+-commutative_binary64_2395` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `pow-prod-down_binary64_2536` `associate-r/_binary64_2407` `-commutative_binary64_2396`

Counts

4 → 134

Calls

4 calls:

19.0ms	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (*.f64 y t)))))
12.0ms	(/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 y t))))
11.0ms	(exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 y t)))
7.0ms	(+.f64 (.f64 a (+.f64 z b)) (.f64 y t))

Compiler

Compiled 3874 to 571 computations (85.3% saved)

series2.0s (13.3%)

Error

0.0b

Counts

4 → 114

Calls

4 calls:

869.0ms	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (*.f64 y t)))))
606.0ms	(/.f64 (pow.f64 z y) (exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 y t))))
253.0ms	(+.f64 (.f64 a (+.f64 z b)) (.f64 y t))
162.0ms	(exp.f64 (+.f64 (.f64 a (+.f64 z b)) (.f64 y t)))

Compiler

Compiled 9139 to 4250 computations (53.5% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4996	8510
1	4996	8510

prune203.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	247	1	248
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	248	5	253

Error

0.0b

Counts

253 → 5

Compiler

Compiled 7128 to 1079 computations (84.9% saved)

regimes731.0ms (4.8%)

Accuracy

Total 0.5b remaining (97%)

Threshold costs 0.5b (97%)

Compiler

Compiled 8193 to 7230 computations (11.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	23
1	69	23

end0.0ms (0%)

sample4.3s (28.2%)

Algorithm

1×

intervals

Results

892.0ms	10585×	body	128	nan
627.0ms	7372×	body	128	valid
459.0ms	5299×	body	128	invalid
83.0ms	271×	body	512	valid
75.0ms	129×	body	1024	valid
42.0ms	228×	body	256	valid
40.0ms	127×	body	512	invalid
31.0ms	51×	body	1024	invalid
26.0ms	133×	body	256	invalid

Compiler

Compiled 913 to 806 computations (11.7% saved)

Details

analyze1.0s (6.6%)

sample109.0ms (0.7%)

simplify58.0ms (0.4%)

prune5.0ms (0%)

localize15.0ms (0.1%)

rewrite188.0ms (1.2%)

series1.5s (9.6%)

simplify102.0ms (0.7%)

prune207.0ms (1.4%)

localize13.0ms (0.1%)

rewrite156.0ms (1%)

series1.7s (11.1%)

simplify92.0ms (0.6%)

prune169.0ms (1.1%)

localize24.0ms (0.2%)

rewrite228.0ms (1.5%)

series1.8s (11.9%)

simplify94.0ms (0.6%)

prune252.0ms (1.7%)

localize12.0ms (0.1%)

rewrite176.0ms (1.2%)

series2.0s (13.3%)

simplify88.0ms (0.6%)

prune203.0ms (1.3%)

regimes731.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.3s (28.2%)

Profiling