Details

analyze297.0ms (10.8%)

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
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	550	13
1	550	13

prune4.0ms (0.2%)

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: 0.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
0.0b	(*.f64 (-.f64 y x) 6)
0.5b	(.f64 (.f64 (-.f64 y x) 6) z)

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `associate-*l/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 53

Calls

3 calls:

8.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
7.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

series28.0ms (1%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
11.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
5.0ms	(*.f64 (-.f64 y x) 6)

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5342	767

prune59.0ms (2.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	53	9	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	10	63

Merged error: 0.0b

Counts

63 → 10

Compiler

Compiled 992 to 543 computations (45.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
0.3b	(.f64 (-.f64 y x) (.f64 6 z))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`-un-lft-identity_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`associate-*l/_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

8.0ms	(.f64 (-.f64 y x) (.f64 6 z))
4.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))

series22.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(.f64 (-.f64 y x) (.f64 6 z))
11.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))

simplify51.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5257	552

prune39.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	39	10	49

Merged error: 0.0b

Counts

49 → 10

Compiler

Compiled 679 to 383 computations (43.6% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z))) (cbrt.f64 (.f64 (-.f64 y x) (*.f64 6 z))))
4.2b	(cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z)))
4.2b	(cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z)))
4.2b	(cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z)))

rewrite32.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z))) (cbrt.f64 (.f64 (-.f64 y x) (*.f64 6 z))))
7.0ms	(cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z)))
7.0ms	(cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z)))
7.0ms	(cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z)))

series210.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z))) (cbrt.f64 (.f64 (-.f64 y x) (*.f64 6 z))))
46.0ms	(cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z)))
44.0ms	(cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z)))
44.0ms	(cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z)))

simplify98.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5021	1755

prune97.0ms (3.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	83	11	94

Merged error: 0b

Counts

94 → 11

Compiler

Compiled 2926 to 1660 computations (43.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
0.5b	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
0.6b	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
0.6b	(*.f64 (-.f64 y x) (sqrt.f64 6))

rewrite39.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
12×	`-un-lft-identity_binary64` `associate-l/_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
7×	`associate-l_binary64` `sqrt-prod_binary64`
6×	`add-log-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`flip3-+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 83

Calls

4 calls:

13.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
10.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
9.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))
4.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))

series64.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z))
20.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z)
11.0ms	(.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6))
7.0ms	(*.f64 (-.f64 y x) (sqrt.f64 6))

simplify88.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4991	1164
1	4991	1164

prune55.0ms (2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	95	11	106

Merged error: 0b

Counts

106 → 11

Compiler

Compiled 1452 to 842 computations (42% saved)

regimes202.0ms (7.4%)

Compiler: Compiled 748 to 598 computations (20.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample1.2s (42.9%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	80	valid
17.0ms	639×	body	80	invalid

Compiler

Compiled 209 to 169 computations (19.1% saved)

Details

analyze297.0ms (10.8%)

sample16.0ms (0.6%)

simplify44.0ms (1.6%)

prune4.0ms (0.2%)

localize6.0ms (0.2%)

rewrite21.0ms (0.8%)

series28.0ms (1%)

simplify54.0ms (2%)

prune59.0ms (2.2%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series22.0ms (0.8%)

simplify51.0ms (1.9%)

prune39.0ms (1.4%)

localize10.0ms (0.4%)

rewrite32.0ms (1.2%)

series210.0ms (7.6%)

simplify98.0ms (3.6%)

prune97.0ms (3.5%)

localize9.0ms (0.3%)

rewrite39.0ms (1.4%)

series64.0ms (2.3%)

simplify88.0ms (3.2%)

prune55.0ms (2%)

regimes202.0ms (7.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (42.9%)

Profiling