Details

analyze229.0ms (6.6%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	104	16
1	104	16

prune2.0ms (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: 6.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.1b	(.f64 y (+.f64 1 (.f64 z z)))
3.5b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64`
21×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`
13×	`associate-/l*_binary64`
8×	`div-exp_binary64`
6×	`cbrt-undiv_binary64`
4×	`pow1_binary64` `associate-*r/_binary64` `prod-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-r_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `rec-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 72

Calls

2 calls:

11.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series167.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

99.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
68.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5030	1283

prune258.0ms (7.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	8	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	9	79

Merged error: 5.2b

Counts

79 → 9

Compiler

Compiled 4440 to 3361 computations (24.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 1 (.f64 x (.f64 y (+.f64 1 (*.f64 z z)))))
3.1b	(.f64 y (+.f64 1 (.f64 z z)))
3.3b	(.f64 x (.f64 y (+.f64 1 (*.f64 z z))))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`pow1_binary64`
10×	`associate-*r/_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64`
6×	`associate-l_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-exp_binary64` `pow-flip_binary64` `flip-+_binary64`
2×	`associate-/r/_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/.f64 1 (.f64 x (.f64 y (+.f64 1 (*.f64 z z)))))
8.0ms	(.f64 x (.f64 y (+.f64 1 (*.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series275.0ms (8%)

Counts

3 → 9

Calls

3 calls:

105.0ms	(.f64 x (.f64 y (+.f64 1 (*.f64 z z))))
98.0ms	(/.f64 1 (.f64 x (.f64 y (+.f64 1 (*.f64 z z)))))
72.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify67.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4931	1195
1	4931	1195

prune166.0ms (4.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	86	10	96

Merged error: 5.2b

Counts

96 → 10

Compiler

Compiled 2966 to 2106 computations (29% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (.f64 y (.f64 z z)))
0.2b	(/.f64 1 (.f64 x (+.f64 y (.f64 y (*.f64 z z)))))
3.3b	(.f64 x (+.f64 y (.f64 y (*.f64 z z))))
7.6b	(.f64 y (.f64 z z))

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
14×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `prod-exp_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64`
4×	`associate-r_binary64` `associate-*r/_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-exp_binary64` `pow-flip_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 80

Calls

4 calls:

8.0ms	(/.f64 1 (.f64 x (+.f64 y (.f64 y (*.f64 z z)))))
7.0ms	(.f64 x (+.f64 y (.f64 y (*.f64 z z))))
7.0ms	(.f64 y (.f64 z z))
4.0ms	(+.f64 y (.f64 y (.f64 z z)))

series346.0ms (10%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(.f64 x (+.f64 y (.f64 y (*.f64 z z))))
110.0ms	(/.f64 1 (.f64 x (+.f64 y (.f64 y (*.f64 z z)))))
72.0ms	(+.f64 y (.f64 y (.f64 z z)))
45.0ms	(.f64 y (.f64 z z))

simplify69.0ms (2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5350	1243

prune119.0ms (3.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	91	11	102

Merged error: 2.6b

Counts

102 → 11

Compiler

Compiled 2387 to 1241 computations (48% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (.f64 (.f64 y z) z))
0.1b	(.f64 (.f64 y z) z)
0.2b	(/.f64 1 (.f64 x (+.f64 y (.f64 (*.f64 y z) z))))
3.3b	(.f64 x (+.f64 y (.f64 (*.f64 y z) z)))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
14×	`pow1_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `prod-exp_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64`
4×	`associate-r/_binary64` `associate-l*_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`cbrt-undiv_binary64` `associate-/r/_binary64` `rec-exp_binary64` `div-exp_binary64` `pow-flip_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(/.f64 1 (.f64 x (+.f64 y (.f64 (*.f64 y z) z))))
7.0ms	(.f64 x (+.f64 y (.f64 (*.f64 y z) z)))
6.0ms	(.f64 (.f64 y z) z)
4.0ms	(+.f64 y (.f64 (.f64 y z) z))

series366.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(.f64 x (+.f64 y (.f64 (*.f64 y z) z)))
116.0ms	(/.f64 1 (.f64 x (+.f64 y (.f64 (*.f64 y z) z))))
76.0ms	(+.f64 y (.f64 (.f64 y z) z))
42.0ms	(.f64 (.f64 y z) z)

simplify73.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5358	1231

prune110.0ms (3.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	1	8	9
Picked	0	1	1
Done	1	0	1
Total	91	11	102

Merged error: 2.6b

Counts

102 → 11

Compiler

Compiled 2181 to 1096 computations (49.7% saved)

regimes230.0ms (6.7%)

Compiler: Compiled 2065 to 1732 computations (16.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample724.0ms (20.9%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
16.0ms	453×	body	128	invalid

Compiler

Compiled 264 to 211 computations (20.1% saved)

Details

analyze229.0ms (6.6%)

sample20.0ms (0.6%)

simplify11.0ms (0.3%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite23.0ms (0.7%)

series167.0ms (4.8%)

simplify76.0ms (2.2%)

prune258.0ms (7.5%)

localize7.0ms (0.2%)

rewrite31.0ms (0.9%)

series275.0ms (8%)

simplify67.0ms (1.9%)

prune166.0ms (4.8%)

localize7.0ms (0.2%)

rewrite30.0ms (0.9%)

series346.0ms (10%)

simplify69.0ms (2%)

prune119.0ms (3.4%)

localize8.0ms (0.2%)

rewrite32.0ms (0.9%)

series366.0ms (10.6%)

simplify73.0ms (2.1%)

prune110.0ms (3.2%)

regimes230.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample724.0ms (20.9%)

Profiling