Details

analyze377.0ms (4.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample45.0ms (0.6%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
9.0ms	133×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 36 computations (-9.1% saved)

simplify257.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	1362	25
1	1362	25

prune3.0ms (0%)

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: 0.2b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite54.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64_10524`
19×	`log-prod_binary64_10607`
18×	`add-sqr-sqrt_binary64_10545`
15×	`pow1_binary64_10582`
14×	`add-log-exp_binary64_10560`
12×	`add-cube-cbrt_binary64_10556`
9×	`distribute-lft-out_binary64_10477` `log-pow_binary64_10610` `associate-+r+_binary64_10458`
6×	`flip--_binary64_10499` `flip3--_binary64_10528` `add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557` `associate-+l+_binary64_10459` `distribute-lft-out--_binary64_10478` `sum-log_binary64_10612` `distribute-lft-in_binary64_10475` `associate-*l/_binary64_10469` `distribute-rgt-in_binary64_10476`
5×	`associate-l_binary64_10467` `associate-+l-_binary64_10461`
4×	`log-div_binary64_10608` `frac-add_binary64_10532` `flip3-+_binary64_10527` `flip-+_binary64_10498` `associate-r_binary64_10466` `diff-log_binary64_10613`
2×	`sub-neg_binary64_10517` `+-commutative_binary64_10456` `difference-of-squares_binary64_10493` `associate--l+_binary64_10463` `associate--l-_binary64_10464`
1×	`pow-prod-down_binary64_10592` `prod-exp_binary64_10570` `*-commutative_binary64_10457` `cbrt-unprod_binary64_10554` `unswap-sqr_binary64_10492`

Counts

4 → 100

Calls

4 calls:

18.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
9.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series781.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

365.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
238.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
91.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
87.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4962	2414
1	4962	2414

prune148.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

Compiler

Compiled 2874 to 1123 computations (60.9% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
0.1b	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64_10524`
19×	`log-prod_binary64_10607`
15×	`add-sqr-sqrt_binary64_10545`
13×	`distribute-lft-out_binary64_10477`
12×	`pow1_binary64_10582`
11×	`add-cube-cbrt_binary64_10556`
10×	`add-log-exp_binary64_10560`
8×	`associate-+r+_binary64_10458`
7×	`associate-+l+_binary64_10459` `sum-log_binary64_10612` `log-pow_binary64_10610`
6×	`associate--l+_binary64_10463` `distribute-lft-in_binary64_10475` `distribute-rgt-in_binary64_10476`
5×	`add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557` `associate-l_binary64_10467`
4×	`associate-r_binary64_10466`
3×	`flip3-+_binary64_10527` `associate-+r-_binary64_10460` `flip-+_binary64_10498`
2×	`+-commutative_binary64_10456` `log-div_binary64_10608` `associate-*l/_binary64_10469` `diff-log_binary64_10613` `associate-+l-_binary64_10461`
1×	`sub-neg_binary64_10517` `flip--_binary64_10499` `flip3--_binary64_10528` `pow-prod-down_binary64_10592` `prod-exp_binary64_10570` `*-commutative_binary64_10457` `cbrt-unprod_binary64_10554` `difference-of-squares_binary64_10493` `distribute-lft-out--_binary64_10478` `unswap-sqr_binary64_10492`

Counts

3 → 81

Calls

3 calls:

18.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
10.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series568.0ms (7%)

Counts

3 → 9

Calls

3 calls:

347.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
148.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
72.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4968	1908
1	4968	1908

prune104.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

Compiler

Compiled 2237 to 1097 computations (51% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (+.f64 (.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t))) (.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite71.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64_10524`
31×	`log-prod_binary64_10607`
26×	`add-sqr-sqrt_binary64_10545`
21×	`add-log-exp_binary64_10560`
20×	`pow1_binary64_10582` `frac-add_binary64_10532` `associate-*l/_binary64_10469`
18×	`add-cube-cbrt_binary64_10556`
16×	`flip--_binary64_10499` `flip3--_binary64_10528`
15×	`distribute-lft-out_binary64_10477`
14×	`log-pow_binary64_10610`
12×	`sqrt-prod_binary64_10539` `sum-log_binary64_10612` `distribute-lft-in_binary64_10475` `distribute-rgt-in_binary64_10476` `associate-r_binary64_10466`
10×	`associate-l_binary64_10467`
8×	`add-exp-log_binary64_10559` `add-cbrt-cube_binary64_10557`
7×	`distribute-lft-out--_binary64_10478`
6×	`associate-+l+_binary64_10459`
5×	`flip3-+_binary64_10527` `flip-+_binary64_10498`
4×	`associate-+r+_binary64_10458` `diff-log_binary64_10613`
3×	`associate-+l-_binary64_10461`
2×	`pow-prod-down_binary64_10592` `prod-exp_binary64_10570` `+-commutative_binary64_10456` `*-commutative_binary64_10457` `cbrt-unprod_binary64_10554` `log-div_binary64_10608` `sqrt-pow1_binary64_10541` `difference-of-squares_binary64_10493` `pow1/2_binary64_10601` `unswap-sqr_binary64_10492`
1×	`sub-neg_binary64_10517` `associate--l+_binary64_10463`

Counts

4 → 136

Calls

4 calls:

23.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (+.f64 (.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t))) (.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))))
12.0ms	(*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))
9.0ms	(*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series663.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

467.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (+.f64 (.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t))) (.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))))
94.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
52.0ms	(*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))
49.0ms	(*.f64 (-.f64 a 1/2) (log.f64 (sqrt.f64 t)))

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4898	4115
1	4898	4115

prune218.0ms (2.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	146	10	156

Merged error: 0b

Counts

156 → 10

Compiler

Compiled 5331 to 2208 computations (58.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x y))
0.5b	(cbrt.f64 (+.f64 x y))
0.5b	(cbrt.f64 (+.f64 x y))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_10552`
35×	`*-un-lft-identity_binary64_10524`
23×	`add-sqr-sqrt_binary64_10545`
18×	`cbrt-div_binary64_10553`
15×	`add-cube-cbrt_binary64_10556`
11×	`pow1_binary64_10582`
9×	`pow1/3_binary64_10603` `swap-sqr_binary64_10491` `distribute-lft-out_binary64_10477` `flip3-+_binary64_10527` `flip-+_binary64_10498`
7×	`associate-l_binary64_10467` `associate-r_binary64_10466`
6×	`add-exp-log_binary64_10559`
4×	`add-cbrt-cube_binary64_10557` `unswap-sqr_binary64_10492` `add-log-exp_binary64_10560` `frac-times_binary64_10534`
2×	`pow-prod-down_binary64_10592` `associate-r/_binary64_10468` `pow-sqr_binary64_10497` `associate-l/_binary64_10469` `pow-prod-up_binary64_10591`
1×	`pow-plus_binary64_10584` `prod-exp_binary64_10570` `pow2_binary64_10602` `*-commutative_binary64_10457` `cbrt-unprod_binary64_10554`

Counts

4 → 95

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 x y))
4.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series953.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

279.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
232.0ms	(cbrt.f64 (+.f64 x y))
223.0ms	(cbrt.f64 (+.f64 x y))
218.0ms	(cbrt.f64 (+.f64 x y))

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4877	1542
1	4877	1542

prune139.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	107	10	117

Merged error: 0b

Counts

117 → 10

Compiler

Compiled 3573 to 1191 computations (66.7% saved)

regimes963.0ms (11.8%)

Compiler: Compiled 11382 to 8876 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	25
1	38	25

end0.0ms (0%)

sample2.3s (28.2%)

Algorithm

1×

intervals

Results

660.0ms	8000×	body	128	valid
306.0ms	4306×	body	128	nan
2.0ms	24×	body	128	invalid

Compiler

Compiled 1016 to 798 computations (21.5% saved)

Details

analyze377.0ms (4.6%)

sample45.0ms (0.6%)

simplify257.0ms (3.2%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite54.0ms (0.7%)

series781.0ms (9.6%)

simplify113.0ms (1.4%)

prune148.0ms (1.8%)

localize15.0ms (0.2%)

rewrite44.0ms (0.5%)

series568.0ms (7%)

simplify77.0ms (0.9%)

prune104.0ms (1.3%)

localize17.0ms (0.2%)

rewrite71.0ms (0.9%)

series663.0ms (8.1%)

simplify89.0ms (1.1%)

prune218.0ms (2.7%)

localize20.0ms (0.3%)

rewrite34.0ms (0.4%)

series953.0ms (11.7%)

simplify84.0ms (1%)

prune139.0ms (1.7%)

regimes963.0ms (11.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (28.2%)

Profiling