Details

analyze1.0s (23.7%)

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
5.0ms	105×	body	80	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify381.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (371.0ms)

Iter	Nodes	Cost
0	4825	16
1	4825	16

prune10.0ms (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: 0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
0.0b	(-.f64 y (/.f64 t y))
0.3b	(/.f64 -1/3 z)
4.1b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64` `associate-r_binary64`
5×	`sub-neg_binary64`
4×	`difference-of-squares_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

13.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
10.0ms	(-.f64 y (/.f64 t y))
4.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
3.0ms	(/.f64 -1/3 z)

series36.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
11.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
4.0ms	(-.f64 y (/.f64 t y))
2.0ms	(/.f64 -1/3 z)

simplify97.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5135	1562

prune90.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

Compiler

Compiled 1945 to 875 computations (55% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 y (/.f64 t y))
0.0b	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))
0.4b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
3.9b	(/.f64 (-.f64 y (/.f64 t y)) z)

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`add-sqr-sqrt_binary64`
45×	`times-frac_binary64`
42×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
16×	`difference-of-squares_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 108

Calls

4 calls:

14.0ms	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
12.0ms	(/.f64 (-.f64 y (/.f64 t y)) z)
7.0ms	(-.f64 y (/.f64 t y))
4.0ms	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))

series42.0ms (1%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))
10.0ms	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
8.0ms	(/.f64 (-.f64 y (/.f64 t y)) z)
4.0ms	(-.f64 y (/.f64 t y))

simplify123.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4920	2067
1	4920	2067

prune83.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	120	8	128

Merged error: 0.0b

Counts

128 → 8

Compiler

Compiled 2332 to 754 computations (67.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))
0.0b	(-.f64 y (/.f64 t y))
0.3b	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
4.0b	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64` `associate-r_binary64`
5×	`times-frac_binary64`
4×	`associate-*r/_binary64` `difference-of-squares_binary64`
3×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-l*_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

13.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)
10.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
7.0ms	(-.f64 y (/.f64 t y))
5.0ms	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))

series36.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(+.f64 x (/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z))
10.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)
5.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
4.0ms	(-.f64 y (/.f64 t y))

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5443	1286

prune65.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

Compiler

Compiled 1529 to 657 computations (57% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
0.2b	(.f64 (.f64 z 3) y)
0.2b	(/.f64 y (*.f64 z 3))
7.8b	(/.f64 t (.f64 (.f64 z 3) y))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-/l*_binary64` `times-frac_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64`
2×	`associate-/r*_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-+l+_binary64` `associate-l_binary64` `associate-+l-_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

12.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
7.0ms	(/.f64 t (.f64 (.f64 z 3) y))
5.0ms	(.f64 (.f64 z 3) y)
5.0ms	(/.f64 y (*.f64 z 3))

series35.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(+.f64 (-.f64 x (/.f64 y (.f64 z 3))) (/.f64 t (.f64 (*.f64 z 3) y)))
7.0ms	(/.f64 t (.f64 (.f64 z 3) y))
4.0ms	(.f64 (.f64 z 3) y)
3.0ms	(/.f64 y (*.f64 z 3))

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5026	1382

prune75.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

Compiler

Compiled 1798 to 1093 computations (39.2% saved)

regimes338.0ms (7.7%)

Compiler: Compiled 1070 to 838 computations (21.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	34
1	35	34

end0.0ms (0%)

sample1.6s (36.2%)

Algorithm

1×

intervals

Results

348.0ms	8000×	body	80	valid
140.0ms	3083×	body	80	invalid

Compiler

Compiled 224 to 175 computations (21.9% saved)

Details

analyze1.0s (23.7%)

sample28.0ms (0.6%)

simplify381.0ms (8.7%)

prune10.0ms (0.2%)

localize8.0ms (0.2%)

rewrite35.0ms (0.8%)

series36.0ms (0.8%)

simplify97.0ms (2.2%)

prune90.0ms (2.1%)

localize8.0ms (0.2%)

rewrite41.0ms (0.9%)

series42.0ms (1%)

simplify123.0ms (2.8%)

prune83.0ms (1.9%)

localize8.0ms (0.2%)

rewrite37.0ms (0.8%)

series36.0ms (0.8%)

simplify65.0ms (1.5%)

prune65.0ms (1.5%)

localize9.0ms (0.2%)

rewrite31.0ms (0.7%)

series35.0ms (0.8%)

simplify75.0ms (1.7%)

prune75.0ms (1.7%)

regimes338.0ms (7.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (36.2%)

Profiling