Details

analyze40.0ms (2.8%)

Algorithm

1×

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)

sample23.0ms (1.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	5×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify114.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4796	17
1	4796	17

prune7.0ms (0.5%)

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

Merged error: 16.3b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
29.5b	(/.f64 (.f64 b b) (.f64 a a))

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
2×	`add-log-exp_binary64`
1×	`associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

2 → 34

Calls

2 calls:

7.0ms	(/.f64 (.f64 b b) (.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

series88.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
36.0ms	(/.f64 (.f64 b b) (.f64 a a))

simplify86.0ms (6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5113	452

prune38.0ms (2.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	1	41

Merged error: 0b

Counts

41 → 1

Compiler

Compiled 516 to 333 computations (35.5% saved)

localize10.0ms (0.7%)

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)
5.0b	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))

rewrite20.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`unpow-prod-down_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`log-pow_binary64`
18×	`times-frac_binary64` `exp-prod_binary64`
6×	`pow1_binary64` `add-exp-log_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `log-prod_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
2×	`unpow2_binary64` `sqr-pow_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-log-exp_binary64` `pow-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64`

Counts

3 → 72

Calls

3 calls:

8.0ms	(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))))))

series133.0ms (9.2%)

Counts

3 → 9

Calls

3 calls:

56.0ms	(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
47.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))))
30.0ms	(pow.f64 (/.f64 b a) 2)

simplify55.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4987	858
1	4987	858

prune72.0ms (5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	1	82

Merged error: 0b

Counts

82 → 1

Compiler

Compiled 1185 to 788 computations (33.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	18
1	22	18

end0.0ms (0%)

sample732.0ms (50.8%)

Algorithm

1×

intervals

Results

325.0ms	8000×	body	128	valid
166.0ms	8000×	pre	128	true
2.0ms	119×	pre	128	false

Compiler

Compiled 40 to 35 computations (12.5% saved)

Details

analyze40.0ms (2.8%)

sample23.0ms (1.6%)

simplify114.0ms (7.9%)

prune7.0ms (0.5%)

localize9.0ms (0.6%)

rewrite11.0ms (0.7%)

series88.0ms (6.1%)

simplify86.0ms (6%)

prune38.0ms (2.6%)

localize10.0ms (0.7%)

rewrite20.0ms (1.4%)

series133.0ms (9.2%)

simplify55.0ms (3.8%)

prune72.0ms (5%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample732.0ms (50.8%)

Profiling