Details

analyze1.2s (12.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample72.0ms (0.8%)

Algorithm

1×

intervals

Results

31.0ms	256×	body	128	valid
9.0ms	32×	body	128	invalid
4.0ms	39×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify871.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (667.0ms)

Iter	Nodes	Cost
0	3655	24
1	3655	24

prune4.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/2) b)
0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite55.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64_12393`
18×	`add-sqr-sqrt_binary64_12376`
14×	`*-un-lft-identity_binary64_12354`
12×	`log-prod_binary64_12440` `add-cube-cbrt_binary64_12389`
10×	`sum-log_binary64_12445`
9×	`pow1_binary64_12415`
8×	`associate-l_binary64_12295` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
7×	`associate-r_binary64_12294`
6×	`flip--_binary64_12329` `associate--r+_binary64_12290` `diff-log_binary64_12446` `associate-*l/_binary64_12297` `distribute-lft-in_binary64_12303` `flip3--_binary64_12358` `distribute-rgt-in_binary64_12304`
4×	`frac-add_binary64_12362`
3×	`associate-+l+_binary64_12287`
2×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `cancel-sign-sub-inv_binary64_12320` `unswap-sqr_binary64_12322` `sub-neg_binary64_12347` `*-commutative_binary64_12285` `associate--l+_binary64_12291`
1×	`log-pow_binary64_12443` `distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323` `associate-+l-_binary64_12289` `flip-+_binary64_12328` `+-commutative_binary64_12284` `flip3-+_binary64_12357`

Counts

4 → 90

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
12.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
10.0ms	(*.f64 z (log.f64 t))
9.0ms	(*.f64 (-.f64 a 1/2) b)

series534.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

336.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
91.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
64.0ms	(*.f64 z (log.f64 t))
42.0ms	(*.f64 (-.f64 a 1/2) b)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5273	1987

prune159.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	5	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

Compiler

Compiled 2527 to 895 computations (64.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.3b	(*.f64 (log.f64 (cbrt.f64 t)) z)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304` `log-prod_binary64_12440`
19×	`add-sqr-sqrt_binary64_12376`
18×	`cbrt-prod_binary64_12385`
17×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
12×	`pow1_binary64_12415`
11×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
8×	`associate-l_binary64_12295`
4×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `add-log-exp_binary64_12393` `associate-r_binary64_12294` `prod-exp_binary64_12403`
3×	`pow1/3_binary64_12436`
2×	`log-pow_binary64_12443` `*-commutative_binary64_12285`
1×	`unswap-sqr_binary64_12322`

Counts

4 → 84

Calls

4 calls:

18.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
10.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
3.0ms	(cbrt.f64 t)
3.0ms	(cbrt.f64 t)

series823.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

237.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
216.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
191.0ms	(cbrt.f64 t)
178.0ms	(cbrt.f64 t)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5286	1191

prune166.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	3	4
Picked	1	0	1
Done	1	0	1
Total	96	6	102

Merged error: 0b

Counts

102 → 6

Compiler

Compiled 3014 to 1312 computations (56.5% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 z (.f64 2 (log.f64 (pow.f64 t 1/3))))
0.3b	(*.f64 (log.f64 (cbrt.f64 t)) z)
0.6b	(cbrt.f64 t)
5.0b	(pow.f64 t 1/3)

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304` `log-prod_binary64_12440`
20×	`add-sqr-sqrt_binary64_12376`
18×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
15×	`unpow-prod-down_binary64_12433`
13×	`pow1_binary64_12415`
12×	`add-exp-log_binary64_12392`
11×	`add-cbrt-cube_binary64_12390`
8×	`associate-l_binary64_12295`
5×	`sqr-pow_binary64_12326`
4×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `add-log-exp_binary64_12393` `associate-r_binary64_12294` `prod-exp_binary64_12403`
3×	`pow-unpow_binary64_12431` `cbrt-prod_binary64_12385`
2×	`pow1/3_binary64_12436` `log-pow_binary64_12443` `*-commutative_binary64_12285`
1×	`pow-exp_binary64_12422` `pow-pow_binary64_12426` `unpow1/3_binary64_12421` `unswap-sqr_binary64_12322` `pow-to-exp_binary64_12423`

Counts

4 → 95

Calls

4 calls:

8.0ms	(.f64 z (.f64 2 (log.f64 (pow.f64 t 1/3))))
5.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
3.0ms	(pow.f64 t 1/3)
1.0ms	(cbrt.f64 t)

series815.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt.f64 t)
200.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
177.0ms	(.f64 z (.f64 2 (log.f64 (pow.f64 t 1/3))))
169.0ms	(pow.f64 t 1/3)

simplify143.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4867	1154
1	4867	1154

prune189.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	107	6	113

Merged error: 0b

Counts

113 → 6

Compiler

Compiled 3272 to 1486 computations (54.6% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.3b	(*.f64 z (log.f64 t))
0.4b	(.f64 1/3 (.f64 z (log.f64 t)))
0.6b	(cbrt.f64 t)

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64_12440`
39×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
25×	`add-sqr-sqrt_binary64_12376`
23×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
17×	`pow1_binary64_12415`
16×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
15×	`cbrt-prod_binary64_12385`
9×	`associate-l_binary64_12295`
7×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403`
6×	`associate-r_binary64_12294`
4×	`add-log-exp_binary64_12393`
3×	`*-commutative_binary64_12285`
1×	`pow1/3_binary64_12436` `log-pow_binary64_12443` `unswap-sqr_binary64_12322`

Counts

4 → 108

Calls

4 calls:

8.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
7.0ms	(.f64 1/3 (.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))
2.0ms	(cbrt.f64 t)

series501.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
170.0ms	(cbrt.f64 t)
82.0ms	(.f64 1/3 (.f64 z (log.f64 t)))
78.0ms	(*.f64 z (log.f64 t))

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4921	1559
1	4921	1559

prune191.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	120	6	126

Merged error: 0b

Counts

126 → 6

Compiler

Compiled 3671 to 1662 computations (54.7% saved)

regimes960.0ms (10.2%)

Compiler: Compiled 8103 to 6548 computations (19.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	99	40
1	99	40

end0.0ms (0%)

sample2.2s (23.5%)

Algorithm

1×

intervals

Results

653.0ms	7994×	body	128	valid
104.0ms	1168×	body	128	invalid
78.0ms	1112×	body	128	nan
2.0ms	4×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 705 to 574 computations (18.6% saved)

Details

analyze1.2s (12.8%)

sample72.0ms (0.8%)

simplify871.0ms (9.3%)

prune4.0ms (0%)

localize30.0ms (0.3%)

rewrite55.0ms (0.6%)

series534.0ms (5.7%)

simplify72.0ms (0.8%)

prune159.0ms (1.7%)

localize21.0ms (0.2%)

rewrite44.0ms (0.5%)

series823.0ms (8.7%)

simplify78.0ms (0.8%)

prune166.0ms (1.8%)

localize37.0ms (0.4%)

rewrite29.0ms (0.3%)

series815.0ms (8.7%)

simplify143.0ms (1.5%)

prune189.0ms (2%)

localize29.0ms (0.3%)

rewrite37.0ms (0.4%)

series501.0ms (5.3%)

simplify130.0ms (1.4%)

prune191.0ms (2%)

regimes960.0ms (10.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.2s (23.5%)

Profiling