Details

analyze259.0ms (9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify212.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	274	10
1	274	10

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_98`
6×	`*-un-lft-identity_binary64_77`
5×	`associate-r_binary64_19`
4×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `sub-neg_binary64_70` `pow1_binary64_135` `add-cube-cbrt_binary64_109`
3×	`associate-l_binary64_20`
2×	`distribute-lft-in_binary64_28` `associate-*r/_binary64_21` `associate-+r+_binary64_11` `distribute-rgt-in_binary64_29`
1×	`pow-prod-down_binary64_145` `flip-+_binary64_51` `cbrt-unprod_binary64_107` `distribute-lft-out--_binary64_31` `flip3-+_binary64_80` `flip--_binary64_52` `+-commutative_binary64_9` `unswap-sqr_binary64_45` `difference-of-squares_binary64_46` `prod-exp_binary64_123` `*-commutative_binary64_10` `flip3--_binary64_81` `sum-log_binary64_165`

Counts

2 → 37

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series132.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(*.f64 y (-.f64 z x))
64.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

simplify53.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4972	482
1	4972	482

prune28.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

Compiler

Compiled 539 to 146 computations (72.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))
0.5b	(cbrt.f64 (-.f64 z x))

rewrite38.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_105`
37×	`add-sqr-sqrt_binary64_98`
35×	`*-un-lft-identity_binary64_77`
18×	`cbrt-div_binary64_106`
15×	`add-cube-cbrt_binary64_109`
11×	`pow1_binary64_135`
10×	`swap-sqr_binary64_44`
9×	`distribute-lft-out--_binary64_31` `flip--_binary64_52` `flip3--_binary64_81` `pow1/3_binary64_156`
8×	`associate-l_binary64_20` `associate-r_binary64_19`
7×	`difference-of-squares_binary64_46`
6×	`add-exp-log_binary64_112`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `frac-times_binary64_87` `unswap-sqr_binary64_45`
2×	`pow-prod-down_binary64_145` `pow-sqr_binary64_50` `pow-prod-up_binary64_144` `associate-l/_binary64_22` `associate-r/_binary64_21`
1×	`pow2_binary64_155` `cbrt-unprod_binary64_107` `pow-plus_binary64_137` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

4 → 101

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
4.0ms	(cbrt.f64 (-.f64 z x))
4.0ms	(cbrt.f64 (-.f64 z x))
4.0ms	(cbrt.f64 (-.f64 z x))

series844.0ms (29.5%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))
224.0ms	(cbrt.f64 (-.f64 z x))
203.0ms	(cbrt.f64 (-.f64 z x))
193.0ms	(cbrt.f64 (-.f64 z x))

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4923	1654
1	4923	1654

prune97.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

Compiler

Compiled 2670 to 757 computations (71.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
2.3b	(-.f64 (.f64 z z) (.f64 x x))
10.0b	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
15.0b	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))

rewrite41.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_77`
11×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
10×	`add-sqr-sqrt_binary64_98`
8×	`add-log-exp_binary64_113` `add-cube-cbrt_binary64_109`
6×	`pow1_binary64_135`
4×	`associate-/r_binary64_23` `times-frac_binary64_83` `associate-r/_binary64_21` `associate-r_binary64_19`
3×	`associate-l_binary64_20` `sub-neg_binary64_70` `flip--_binary64_52` `flip3--_binary64_81` `distribute-lft-out_binary64_30`
2×	`flip-+_binary64_51` `cbrt-unprod_binary64_107` `cbrt-undiv_binary64_108` `flip3-+_binary64_80` `div-exp_binary64_125` `difference-of-squares_binary64_46` `associate-/r/_binary64_25` `prod-exp_binary64_123` `associate-/l/_binary64_26`
1×	`pow-prod-down_binary64_145` `distribute-lft-in_binary64_28` `associate-/l_binary64_24` `+-commutative_binary64_9` `unswap-sqr_binary64_45` `-commutative_binary64_10` `clear-num_binary64_76` `diff-log_binary64_166` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_88` `sum-log_binary64_165` `div-inv_binary64_74`

Counts

4 → 74

Calls

4 calls:

11.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
8.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
7.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

series427.0ms (14.9%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))
112.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
109.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
43.0ms	(-.f64 (.f64 z z) (.f64 x x))

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4966	1215
1	4966	1215

prune54.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0b

Counts

89 → 3

Compiler

Compiled 1490 to 325 computations (78.2% saved)

regimes44.0ms (1.5%)

Compiler: Compiled 180 to 130 computations (27.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample461.0ms (16.1%)

Algorithm

1×

intervals

Results

197.0ms	8000×	body	128	valid
13.0ms	573×	body	128	invalid

Compiler

Compiled 55 to 41 computations (25.5% saved)

Details

analyze259.0ms (9%)

sample14.0ms (0.5%)

simplify212.0ms (7.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series132.0ms (4.6%)

simplify53.0ms (1.9%)

prune28.0ms (1%)

localize9.0ms (0.3%)

rewrite38.0ms (1.3%)

series844.0ms (29.5%)

simplify58.0ms (2%)

prune97.0ms (3.4%)

localize10.0ms (0.3%)

rewrite41.0ms (1.4%)

series427.0ms (14.9%)

simplify60.0ms (2.1%)

prune54.0ms (1.9%)

regimes44.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample461.0ms (16.1%)

Profiling