Details

analyze299.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	9	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	27×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune5.0ms (0.1%)

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

1.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2465`
12×	`times-frac_binary64_2471`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
5×	`distribute-lft-out_binary64_2416`
4×	`add-log-exp_binary64_2504` `associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
3×	`add-exp-log_binary64_2503` `associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1_binary64_2526` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

Counts

2 → 45

Calls

2 calls:

13.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series339.0ms (5.3%)

Counts

2 → 23

Calls

2 calls:

272.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
67.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 590 to 444 computations (24.7% saved)

simplify189.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4953	1435
1	4953	1435

prune101.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Error

0.2b

Counts

69 → 3

Compiler

Compiled 1149 to 381 computations (66.8% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.3b	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
1.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.7b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite138.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

134×	`*-un-lft-identity_binary64_2465`
116×	`sqrt-prod_binary64_2481`
107×	`add-sqr-sqrt_binary64_2487`
105×	`times-frac_binary64_2471`
70×	`add-cube-cbrt_binary64_2500`
29×	`swap-sqr_binary64_2432` `distribute-lft-out_binary64_2416`
21×	`associate-r_binary64_2405` `associate-l_binary64_2406`
20×	`pow1_binary64_2526`
14×	`associate-/r/_binary64_2411`
10×	`add-cbrt-cube_binary64_2501`
9×	`pow1/2_binary64_2545` `unswap-sqr_binary64_2433` `sqrt-pow1_binary64_2483`
8×	`associate-/r*_binary64_2409` `add-exp-log_binary64_2503`
7×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `div-inv_binary64_2462`
6×	`rem-sqrt-square_binary64_2478` `associate-/l*_binary64_2410`
5×	`sqrt-div_binary64_2482` `pow-prod-up_binary64_2535`
4×	`add-log-exp_binary64_2504`
3×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438`
2×	`sqr-abs_binary64_2480` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `frac-2neg_binary64_2476`
1×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `frac-times_binary64_2475` `pow-plus_binary64_2528` `sqrt-unprod_binary64_2485` `associate-*r/_binary64_2407` `rem-square-sqrt_binary64_2477` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 206

Calls

4 calls:

52.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
14.0ms	(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
13.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series1.2s (18.5%)

Counts

4 → 38

Calls

4 calls:

461.0ms	(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
300.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
220.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
209.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 1958 to 1349 computations (31.1% saved)

simplify268.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4971	6121
1	4971	6121

prune408.0ms (6.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	244	3	247

Error

0.2b

Counts

247 → 3

Compiler

Compiled 6107 to 1107 computations (81.9% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) 1)
0.0b	(+.f64 (exp.f64 b) 1)
0.0b	(/.f64 a (pow.f64 (+.f64 (exp.f64 b) 1) 2))
0.0b	(pow.f64 (+.f64 (exp.f64 b) 1) 2)

rewrite56.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_2465`
27×	`times-frac_binary64_2471`
24×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
20×	`unpow-prod-down_binary64_2544`
10×	`add-exp-log_binary64_2503`
9×	`associate-/r*_binary64_2409`
8×	`add-log-exp_binary64_2504`
7×	`distribute-lft-out_binary64_2416`
6×	`add-cbrt-cube_binary64_2501`
5×	`unpow2_binary64_2530` `sqr-pow_binary64_2437` `pow1_binary64_2526`
3×	`div-exp_binary64_2516` `pow-unpow_binary64_2542` `associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `+-commutative_binary64_2395` `sum-log_binary64_2556` `flip-+_binary64_2439` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534`
1×	`clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `pow-pow_binary64_2537` `frac-2neg_binary64_2476`

Counts

4 → 96

Calls

4 calls:

14.0ms	(/.f64 a (pow.f64 (+.f64 (exp.f64 b) 1) 2))
10.0ms	(pow.f64 (+.f64 (exp.f64 b) 1) 2)
8.0ms	(+.f64 (exp.f64 b) 1)
8.0ms	(+.f64 (exp.f64 b) 1)

series387.0ms (6%)

Counts

4 → 25

Calls

4 calls:

267.0ms	(/.f64 a (pow.f64 (+.f64 (exp.f64 b) 1) 2))
51.0ms	(pow.f64 (+.f64 (exp.f64 b) 1) 2)
37.0ms	(+.f64 (exp.f64 b) 1)
31.0ms	(+.f64 (exp.f64 b) 1)

Compiler

Compiled 873 to 686 computations (21.4% saved)

simplify174.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	5207	1669

prune275.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Error

0.2b

Counts

124 → 3

Compiler

Compiled 3217 to 2067 computations (35.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 (exp.f64 b) 1))
0.0b	(+.f64 (exp.f64 b) 1)

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2465`
12×	`times-frac_binary64_2471`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
6×	`add-exp-log_binary64_2503`
5×	`distribute-lft-out_binary64_2416`
4×	`add-log-exp_binary64_2504` `associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
3×	`pow1_binary64_2526` `associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `div-exp_binary64_2516` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `rec-exp_binary64_2515` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `1-exp_binary64_2509`

Counts

2 → 49

Calls

2 calls:

12.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
8.0ms	(+.f64 (exp.f64 b) 1)

series85.0ms (1.3%)

Counts

2 → 10

Calls

2 calls:

54.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
31.0ms	(+.f64 (exp.f64 b) 1)

Compiler

Compiled 101 to 114 computations (-12.9% saved)

simplify202.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	4859	688
1	4859	688

prune96.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	59	3	62

Error

0.2b

Counts

62 → 3

Compiler

Compiled 612 to 450 computations (26.5% saved)

regimes700.0ms (10.9%)

Accuracy

Total 0.1b remaining (42.2%)

Threshold costs 0.1b (42.2%)

Compiler

Compiled 1067 to 854 computations (20% saved)

bsearch2.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	65
1	40	65

end0.0ms (0%)

sample1.3s (20.9%)

Algorithm

1×

intervals

Results

456.0ms	8000×	body	128	valid
34.0ms	736×	body	128	overflowed

Compiler

Compiled 226 to 173 computations (23.5% saved)

Details

analyze299.0ms (4.7%)

sample26.0ms (0.4%)

simplify21.0ms (0.3%)

prune5.0ms (0.1%)

localize11.0ms (0.2%)

rewrite27.0ms (0.4%)

series339.0ms (5.3%)

simplify189.0ms (2.9%)

prune101.0ms (1.6%)

localize20.0ms (0.3%)

rewrite138.0ms (2.1%)

series1.2s (18.5%)

simplify268.0ms (4.2%)

prune408.0ms (6.4%)

localize25.0ms (0.4%)

rewrite56.0ms (0.9%)

series387.0ms (6%)

simplify174.0ms (2.7%)

prune275.0ms (4.3%)

localize9.0ms (0.1%)

rewrite25.0ms (0.4%)

series85.0ms (1.3%)

simplify202.0ms (3.1%)

prune96.0ms (1.5%)

regimes700.0ms (10.9%)

bsearch2.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.3s (20.9%)

Profiling