Details

analyze674.0ms (12.7%)

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%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	61×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify187.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	400	10
1	400	10

prune4.0ms (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: 0.1b

Counts

2 → 2

Compiler

Compiled 23 to 22 computations (4.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z y))
5.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_14252`
4×	`add-cbrt-cube_binary64_14264` `add-exp-log_binary64_14266` `-un-lft-identity_binary64_14231` `add-log-exp_binary64_14267` `pow1_binary64_14289` `associate-l*_binary64_14174` `add-cube-cbrt_binary64_14263`
3×	`associate-r_binary64_14173`
2×	`flip3--_binary64_14235` `flip--_binary64_14206` `associate-*l/_binary64_14176` `distribute-rgt-out--_binary64_14187`
1×	`prod-exp_binary64_14277` `pow-prod-down_binary64_14299` `unswap-sqr_binary64_14199` `diff-log_binary64_14320` `*-commutative_binary64_14164` `sub-neg_binary64_14224` `cbrt-unprod_binary64_14261`

Counts

2 → 33

Calls

2 calls:

7.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
4.0ms	(-.f64 (.f64 x y) (.f64 z y))

series190.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

123.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
67.0ms	(-.f64 (.f64 x y) (.f64 z y))

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5061	471

prune41.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	30	9	39
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	31	10	41

Merged error: 0.0b

Counts

41 → 10

Compiler

Compiled 672 to 234 computations (65.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))
5.5b	(.f64 (.f64 y (-.f64 x z)) t)

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_14264` `add-exp-log_binary64_14266` `add-sqr-sqrt_binary64_14252` `pow1_binary64_14289`
8×	`associate-r_binary64_14173`
7×	`*-un-lft-identity_binary64_14231`
5×	`add-cube-cbrt_binary64_14263`
4×	`prod-exp_binary64_14277` `pow-prod-down_binary64_14299` `associate-l_binary64_14174` `associate-*r/_binary64_14175` `cbrt-unprod_binary64_14261`
2×	`flip3--_binary64_14235` `add-log-exp_binary64_14267` `flip--_binary64_14206` `-commutative_binary64_14164` `associate-l/_binary64_14176` `sub-neg_binary64_14224`
1×	`distribute-lft-in_binary64_14182` `difference-of-squares_binary64_14200` `unswap-sqr_binary64_14199` `distribute-rgt-in_binary64_14183` `distribute-lft-out--_binary64_14185`

Counts

2 → 44

Calls

2 calls:

8.0ms	(.f64 (.f64 y (-.f64 x z)) t)
7.0ms	(*.f64 y (-.f64 x z))

series166.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

98.0ms	(.f64 (.f64 y (-.f64 x z)) t)
67.0ms	(*.f64 y (-.f64 x z))

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5541	519

prune41.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	50	10	60

Merged error: 0.0b

Counts

60 → 10

Compiler

Compiled 712 to 243 computations (65.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
7.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
7.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
7.5b	(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_14260`
46×	`associate-*r/_binary64_14175`
30×	`flip3--_binary64_14235` `flip--_binary64_14206`
28×	`frac-times_binary64_14241`
16×	`add-exp-log_binary64_14266` `pow1_binary64_14289`
14×	`associate-*l/_binary64_14176`
10×	`add-cbrt-cube_binary64_14264`
9×	`cbrt-prod_binary64_14259`
8×	`prod-exp_binary64_14277` `pow-prod-down_binary64_14299` `cbrt-unprod_binary64_14261`
6×	`add-sqr-sqrt_binary64_14252` `*-un-lft-identity_binary64_14231` `add-cube-cbrt_binary64_14263`
4×	`add-log-exp_binary64_14267`
3×	`pow1/3_binary64_14310`
2×	`distribute-rgt-out--_binary64_14187`
1×	`associate-l_binary64_14174` `associate-r_binary64_14173` `*-commutative_binary64_14164`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series1.5s (27.4%)

Counts

4 → 12

Calls

4 calls:

707.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
276.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
234.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
234.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4948	2945
1	4948	2945

prune109.0ms (2.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

Compiler

Compiled 3423 to 701 computations (79.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
7.1b	(.f64 y (.f64 t (-.f64 x z)))

rewrite210.0ms (4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_14264` `add-exp-log_binary64_14266` `add-sqr-sqrt_binary64_14252` `pow1_binary64_14289`
7×	`*-un-lft-identity_binary64_14231`
6×	`associate-l_binary64_14174` `associate-r_binary64_14173` `sub-neg_binary64_14224` `associate-*r/_binary64_14175`
5×	`distribute-lft-in_binary64_14182` `distribute-rgt-in_binary64_14183` `add-cube-cbrt_binary64_14263`
4×	`prod-exp_binary64_14277` `pow-prod-down_binary64_14299` `cbrt-unprod_binary64_14261`
2×	`flip3--_binary64_14235` `add-log-exp_binary64_14267` `flip--_binary64_14206` `*-commutative_binary64_14164`
1×	`difference-of-squares_binary64_14200` `unswap-sqr_binary64_14199` `distribute-lft-out--_binary64_14185`

Counts

2 → 48

Calls

2 calls:

199.0ms	(.f64 y (.f64 t (-.f64 x z)))
7.0ms	(*.f64 t (-.f64 x z))

series159.0ms (3%)

Counts

2 → 6

Calls

2 calls:

95.0ms	(.f64 y (.f64 t (-.f64 x z)))
64.0ms	(*.f64 t (-.f64 x z))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5455	578

prune32.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	5	2	7
Picked	0	1	1
Done	0	2	2
Total	57	7	64

Merged error: 0b

Counts

64 → 7

Compiler

Compiled 602 to 145 computations (75.9% saved)

regimes582.0ms (11%)

Compiler: Compiled 2846 to 2026 computations (28.8% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	105
1	65	105

end0.0ms (0%)

sample1.1s (20.3%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	128	valid
60.0ms	1824×	body	128	invalid

Compiler

Compiled 569 to 374 computations (34.3% saved)

Details

analyze674.0ms (12.7%)

sample21.0ms (0.4%)

simplify187.0ms (3.5%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite14.0ms (0.3%)

series190.0ms (3.6%)

simplify60.0ms (1.1%)

prune41.0ms (0.8%)

localize5.0ms (0.1%)

rewrite18.0ms (0.3%)

series166.0ms (3.1%)

simplify45.0ms (0.8%)

prune41.0ms (0.8%)

localize14.0ms (0.3%)

rewrite45.0ms (0.8%)

series1.5s (27.4%)

simplify83.0ms (1.6%)

prune109.0ms (2.1%)

localize5.0ms (0.1%)

rewrite210.0ms (4%)

series159.0ms (3%)

simplify57.0ms (1.1%)

prune32.0ms (0.6%)

regimes582.0ms (11%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (20.3%)

Profiling