Details

analyze505.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	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)

sample38.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	241×	body	128	valid
9.0ms	287×	pre	128	true
2.0ms	15×	body	256	valid
2.0ms	31×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify279.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (274.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0.1%)

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: 30.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_5215`
14×	`add-cbrt-cube_binary64_5229` `*-un-lft-identity_binary64_5193` `add-exp-log_binary64_5231`
9×	`pow1_binary64_5254`
8×	`add-cube-cbrt_binary64_5228` `add-log-exp_binary64_5232`
6×	`associate-/l*_binary64_5138` `difference-of-squares_binary64_5162` `times-frac_binary64_5199`
4×	`cancel-sign-sub-inv_binary64_5159` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
3×	`distribute-lft-out--_binary64_5145` `flip3--_binary64_5197` `pow-prod-down_binary64_5264` `flip--_binary64_5168` `associate-r_binary64_5133` `sqrt-prod_binary64_5209`
2×	`sub-neg_binary64_5186` `cbrt-undiv_binary64_5227` `div-exp_binary64_5244` `associate-/l/_binary64_5140` `diff-log_binary64_5285`
1×	`associate-l_binary64_5134` `div-sub_binary64_5198` `-commutative_binary64_5124` `div-inv_binary64_5190` `clear-num_binary64_5192` `associate-/r_binary64_5137` `frac-2neg_binary64_5204`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series222.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
63.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
36.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
15.0ms	(.f64 (.f64 3 a) c)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5180	1823

prune131.0ms (2.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	74	15	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	15	90

Merged error: 9.0b

Counts

90 → 15

Compiler

Compiled 2412 to 1476 computations (38.8% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune20.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Merged error: 9.0b

Counts

15 → 15

Compiler

Compiled 431 to 310 computations (28.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.3b	(/.f64 (*.f64 a c) b)
0.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
17×	`prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`
16×	`cbrt-undiv_binary64_5227` `div-exp_binary64_5244`
10×	`add-sqr-sqrt_binary64_5215`
8×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
7×	`associate-r_binary64_5133` `times-frac_binary64_5199`
5×	`pow1_binary64_5254`
4×	`associate-/r*_binary64_5137`
3×	`associate-l_binary64_5134` `add-log-exp_binary64_5232` `div-inv_binary64_5190`
2×	`associate-/l_binary64_5138` `clear-num_binary64_5192` `associate-r/_binary64_5135` `frac-2neg_binary64_5204`
1×	`pow-prod-down_binary64_5264` `*-commutative_binary64_5124` `associate-/l/_binary64_5140` `unswap-sqr_binary64_5161`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series70.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
24.0ms	(/.f64 (*.f64 a c) b)
21.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4962	874
1	4962	874

prune98.0ms (1.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	74	13	87
Fresh	0	13	13
Picked	1	0	1
Done	1	0	1
Total	76	26	102

Merged error: 8.9b

Counts

102 → 26

Compiler

Compiled 1684 to 999 computations (40.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
0.3b	(/.f64 3 (/.f64 c b))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_5199`
229×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
57×	`associate-/r*_binary64_5137`
22×	`div-inv_binary64_5190`
16×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
9×	`cbrt-undiv_binary64_5227` `div-exp_binary64_5244`
6×	`associate-/l*_binary64_5138` `associate-/r/_binary64_5139`
2×	`add-log-exp_binary64_5232` `clear-num_binary64_5192` `pow1_binary64_5254` `frac-2neg_binary64_5204`

Counts

2 → 266

Calls

2 calls:

13.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
6.0ms	(/.f64 3 (/.f64 c b))

series35.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
15.0ms	(/.f64 3 (/.f64 c b))

simplify127.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5023	6058

prune268.0ms (4.4%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	256	16	272
Fresh	6	19	25
Picked	1	0	1
Done	0	0	0
Total	263	35	298

Merged error: 8.9b

Counts

298 → 35

Compiler

Compiled 4635 to 2658 computations (42.7% saved)

regimes1.3s (21%)

Compiler: Compiled 9641 to 7506 computations (22.1% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.7s (44.7%)

Algorithm

1×

intervals

Results

406.0ms	7683×	body	128	valid
296.0ms	9033×	pre	128	true
50.0ms	1033×	body	128	nan
31.0ms	317×	body	256	valid

Compiler

Compiled 2003 to 1551 computations (22.6% saved)

Details

analyze505.0ms (8.4%)

sample38.0ms (0.6%)

simplify279.0ms (4.6%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite41.0ms (0.7%)

series222.0ms (3.7%)

simplify63.0ms (1%)

prune131.0ms (2.2%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.1%)

prune20.0ms (0.3%)

localize7.0ms (0.1%)

rewrite27.0ms (0.4%)

series70.0ms (1.2%)

simplify53.0ms (0.9%)

prune98.0ms (1.6%)

localize5.0ms (0.1%)

rewrite49.0ms (0.8%)

series35.0ms (0.6%)

simplify127.0ms (2.1%)

prune268.0ms (4.4%)

regimes1.3s (21%)

bsearch5.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.7s (44.7%)

Profiling