Details

analyze693.0ms (6.6%)

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)

sample79.0ms (0.8%)

Algorithm

1×

intervals

Results

35.0ms	256×	body	128	valid
20.0ms	144×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 36 computations (-9.1% saved)

simplify411.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (263.0ms)

Iter	Nodes	Cost
0	5309	25

prune5.0ms (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)

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

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))

rewrite77.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_12013`
19×	`log-prod_binary64_12099`
16×	`add-sqr-sqrt_binary64_12035`
12×	`add-cube-cbrt_binary64_12048`
10×	`add-log-exp_binary64_12052` `pow1_binary64_12074`
9×	`associate-+r+_binary64_11945` `associate-+l+_binary64_11946`
6×	`distribute-lft-in_binary64_11962` `associate-*l/_binary64_11956` `distribute-rgt-in_binary64_11963`
5×	`distribute-lft-out_binary64_11964` `add-cbrt-cube_binary64_12049` `sum-log_binary64_12104` `flip3--_binary64_12017` `log-pow_binary64_12102` `associate-l_binary64_11954` `add-exp-log_binary64_12051` `flip--_binary64_11988`
4×	`frac-add_binary64_12021` `associate-r_binary64_11953`
3×	`cancel-sign-sub-inv_binary64_11979` `flip3-+_binary64_12016` `associate-+l-_binary64_11948` `flip-+_binary64_11987`
2×	`+-commutative_binary64_11943` `log-div_binary64_12100` `diff-log_binary64_12105`
1×	`*-commutative_binary64_11944` `unswap-sqr_binary64_11981` `associate--l+_binary64_11950` `pow-prod-down_binary64_12084` `difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062` `sub-neg_binary64_12006`

Counts

3 → 82

Calls

3 calls:

33.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
15.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
15.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series535.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

370.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
92.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
73.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5447	1999

prune207.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

Compiler

Compiled 2342 to 956 computations (59.2% saved)

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite68.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64_12013`
19×	`log-prod_binary64_12099`
16×	`add-sqr-sqrt_binary64_12035`
13×	`distribute-lft-out_binary64_11964`
12×	`add-cube-cbrt_binary64_12048` `pow1_binary64_12074`
11×	`associate-+r+_binary64_11945`
10×	`add-log-exp_binary64_12052`
7×	`sum-log_binary64_12104` `log-pow_binary64_12102` `associate-+l+_binary64_11946`
6×	`distribute-lft-in_binary64_11962` `associate--l+_binary64_11950` `distribute-rgt-in_binary64_11963`
5×	`add-cbrt-cube_binary64_12049` `associate-l_binary64_11954` `add-exp-log_binary64_12051`
4×	`associate-r_binary64_11953`
3×	`cancel-sign-sub-inv_binary64_11979` `flip3-+_binary64_12016` `flip-+_binary64_11987` `associate-+r-_binary64_11947`
2×	`+-commutative_binary64_11943` `associate-+l-_binary64_11948` `log-div_binary64_12100` `associate-*l/_binary64_11956` `diff-log_binary64_12105`
1×	`*-commutative_binary64_11944` `flip3--_binary64_12017` `unswap-sqr_binary64_11981` `pow-prod-down_binary64_12084` `difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965` `flip--_binary64_11988` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062` `sub-neg_binary64_12006`

Counts

3 → 84

Calls

3 calls:

24.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
17.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
13.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series550.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

339.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
144.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))
66.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify152.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4990	1960
1	4990	1960

prune177.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

Compiler

Compiled 2239 to 1087 computations (51.5% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite72.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`log-prod_binary64_12099`
30×	`distribute-lft-in_binary64_11962` `distribute-rgt-in_binary64_11963`
28×	`associate-+l+_binary64_11946`
26×	`*-un-lft-identity_binary64_12013`
24×	`cbrt-prod_binary64_12044`
20×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048`
15×	`associate-+r+_binary64_11945`
8×	`pow1_binary64_12074` `associate-*l/_binary64_11956`
6×	`distribute-lft-out_binary64_11964` `add-log-exp_binary64_12052`
4×	`add-cbrt-cube_binary64_12049` `frac-add_binary64_12021` `flip3--_binary64_12017` `log-pow_binary64_12102` `add-exp-log_binary64_12051` `flip--_binary64_11988`
3×	`flip3-+_binary64_12016` `flip-+_binary64_11987`
2×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `associate-+l-_binary64_11948` `pow1/3_binary64_12095` `log-div_binary64_12100`

Counts

4 → 98

Calls

4 calls:

29.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
14.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
2.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)

series638.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

257.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
144.0ms	(cbrt.f64 t)
143.0ms	(cbrt.f64 t)
94.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	6117	1664

prune272.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	112	5	117

Merged error: 0.0b

Counts

117 → 5

Compiler

Compiled 3499 to 1524 computations (56.4% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 2/3 (log.f64 t))
0.5b	(cbrt.f64 (sqrt.f64 t))
0.5b	(cbrt.f64 (sqrt.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_12013`
16×	`add-sqr-sqrt_binary64_12035`
14×	`add-cube-cbrt_binary64_12048`
13×	`log-prod_binary64_12099`
12×	`cbrt-prod_binary64_12044`
11×	`pow1_binary64_12074`
6×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051` `sqrt-prod_binary64_12029`
5×	`distribute-lft-out_binary64_11964` `log-pow_binary64_12102`
4×	`add-log-exp_binary64_12052` `associate-+l+_binary64_11946` `associate-r_binary64_11953`
3×	`distribute-lft-in_binary64_11962` `associate-+r+_binary64_11945` `associate-l_binary64_11954` `distribute-rgt-in_binary64_11963`
2×	`flip3-+_binary64_12016` `associate-+l-_binary64_11948` `pow1/3_binary64_12095` `flip-+_binary64_11987` `log-div_binary64_12100`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `*-commutative_binary64_11944` `unswap-sqr_binary64_11981` `pow-prod-down_binary64_12084` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062`

Counts

4 → 77

Calls

4 calls:

12.0ms	(*.f64 2/3 (log.f64 t))
12.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
3.0ms	(cbrt.f64 (sqrt.f64 t))
3.0ms	(cbrt.f64 (sqrt.f64 t))

series401.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt.f64 (sqrt.f64 t))
105.0ms	(*.f64 2/3 (log.f64 t))
94.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
90.0ms	(cbrt.f64 (sqrt.f64 t))

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4945	1002
1	4945	1002

prune207.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	88	6	94

Merged error: 0b

Counts

94 → 6

Compiler

Compiled 3265 to 1306 computations (60% saved)

regimes1.4s (13.5%)

Compiler: Compiled 8803 to 7509 computations (14.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	40
1	40	40

end0.0ms (0%)

sample4.0s (38.3%)

Algorithm

1×

intervals

Results

1.2s	8000×	body	128	valid
562.0ms	4386×	body	128	nan
4.0ms	28×	body	128	invalid

Compiler

Compiled 851 to 725 computations (14.8% saved)

Details

analyze693.0ms (6.6%)

sample79.0ms (0.8%)

simplify411.0ms (3.9%)

prune5.0ms (0%)

localize29.0ms (0.3%)

rewrite77.0ms (0.7%)

series535.0ms (5.1%)

simplify84.0ms (0.8%)

prune207.0ms (2%)

localize27.0ms (0.3%)

rewrite68.0ms (0.6%)

series550.0ms (5.3%)

simplify152.0ms (1.5%)

prune177.0ms (1.7%)

localize36.0ms (0.3%)

rewrite72.0ms (0.7%)

series638.0ms (6.1%)

simplify94.0ms (0.9%)

prune272.0ms (2.6%)

localize44.0ms (0.4%)

rewrite48.0ms (0.5%)

series401.0ms (3.8%)

simplify135.0ms (1.3%)

prune207.0ms (2%)

regimes1.4s (13.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.0s (38.3%)

Profiling