Details

analyze234.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4920	34
1	4920	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample25.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	6×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune8.0ms (0.3%)

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

14.1b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
31.7b	(/.f64 (.f64 b b) (.f64 a a))

rewrite60.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`prod-exp_binary64_809` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `cbrt-unprod_binary64_793` `add-sqr-sqrt_binary64_782`
3×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760` `sqrt-prod_binary64_776`
2×	`add-log-exp_binary64_799`
1×	`frac-2neg_binary64_771` `times-frac_binary64_766` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l_binary64_705` `associate-/r_binary64_704` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

2 → 34

Calls

2 calls:

6.0ms	(/.f64 (.f64 b b) (.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 615 to 257 computations (58.2% saved)

series230.0ms (7.8%)

Error

14.1b

Counts

2 → 12

Calls

2 calls:

128.0ms	(/.f64 (.f64 b b) (.f64 a a))
100.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 275 to 275 computations (0% saved)

simplify83.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4903	515
1	4903	515

prune33.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 363 to 236 computations (35% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
0.4b	(pow.f64 (/.f64 b a) 2)
5.4b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite132.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`unpow-prod-down_binary64_839`
22×	`add-sqr-sqrt_binary64_782`
21×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
19×	`log-pow_binary64_849`
18×	`exp-prod_binary64_812` `times-frac_binary64_766`
6×	`pow1_binary64_821` `add-exp-log_binary64_798`
3×	`log-prod_binary64_846` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `pow-unpow_binary64_837` `sqrt-prod_binary64_776`
2×	`div-inv_binary64_757` `unpow2_binary64_825` `sqr-pow_binary64_732` `pow-exp_binary64_828`
1×	`rem-log-exp_binary64_801` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `div-exp_binary64_811` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

3 → 72

Calls

3 calls:

10.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
5.0ms	(pow.f64 (/.f64 b a) 2)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))

Compiler

Compiled 1300 to 895 computations (31.2% saved)

series500.0ms (16.9%)

Error

Counts

3 → 18

Calls

3 calls:

301.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
101.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
93.0ms	(pow.f64 (/.f64 b a) 2)

Compiler

Compiled 455 to 451 computations (0.9% saved)

simplify56.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5039	948

prune79.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	90	2	92

Error

Counts

92 → 2

Compiler

Compiled 919 to 608 computations (33.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
0.4b	(pow.f64 (/.f64 b a) 2)

rewrite66.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`unpow-prod-down_binary64_839`
12×	`add-sqr-sqrt_binary64_782`
11×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
9×	`times-frac_binary64_766`
5×	`add-exp-log_binary64_798`
4×	`pow1_binary64_821`
3×	`pow-unpow_binary64_837` `sqrt-prod_binary64_776`
2×	`pow-exp_binary64_828` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
1×	`div-inv_binary64_757` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `div-exp_binary64_811` `unpow2_binary64_825` `sqr-pow_binary64_732` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773`

Counts

2 → 42

Calls

2 calls:

4.0ms	(pow.f64 (/.f64 b a) 2)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Compiler

Compiled 655 to 445 computations (32.1% saved)

series193.0ms (6.5%)

Error

Counts

2 → 12

Calls

2 calls:

96.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
94.0ms	(pow.f64 (/.f64 b a) 2)

Compiler

Compiled 275 to 275 computations (0% saved)

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5242	651

prune40.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 437 to 290 computations (33.6% saved)

regimes220.0ms (7.4%)

Accuracy

Total 0.0b remaining (73.7%)

Threshold costs 0.0b (73.7%)

Compiler

Compiled 1509 to 1278 computations (15.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	18
1	22	18

end2.0ms (0.1%)

Compiler: Compiled 11 to 11 computations (0% saved)

sample849.0ms (28.7%)

Algorithm

1×

intervals

Results

280.0ms	8000×	body	128	valid
159.0ms	8000×	pre	128	true
2.0ms	129×	pre	128	false

Compiler

Compiled 52 to 53 computations (-1.9% saved)

Details

analyze234.0ms (7.9%)

sample25.0ms (0.9%)

simplify71.0ms (2.4%)

prune8.0ms (0.3%)

localize8.0ms (0.3%)

rewrite60.0ms (2%)

series230.0ms (7.8%)

simplify83.0ms (2.8%)

prune33.0ms (1.1%)

localize9.0ms (0.3%)

rewrite132.0ms (4.4%)

series500.0ms (16.9%)

simplify56.0ms (1.9%)

prune79.0ms (2.7%)

localize7.0ms (0.2%)

rewrite66.0ms (2.2%)

series193.0ms (6.5%)

simplify51.0ms (1.7%)

prune40.0ms (1.3%)

regimes220.0ms (7.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end2.0ms (0.1%)

sample849.0ms (28.7%)

Profiling