Details

analyze56.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	259×	pre	80	true
0.0ms	3×	body	80	invalid

simplify533.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4963	13
1	4963	13

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0)
0.0b	(*.f64 m (-.f64 1.0 m))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (-.f64 1.0 m))
0.1b	(/.f64 (*.f64 m (-.f64 1.0 m)) v)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0)
7.0ms	(*.f64 m (-.f64 1.0 m))
16.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (-.f64 1.0 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)

series38.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0)
6.0ms	(*.f64 m (-.f64 1.0 m))
9.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (-.f64 1.0 m))
17.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)

simplify33.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5334	1273

prune116.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	5	105

Merged error: 0.0b

Counts

105 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 m (-.f64 (pow.f64 1.0 3) (pow.f64 m 3)))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1.0 3) (pow.f64 m 3))) (.f64 v (+.f64 (.f64 m m) (*.f64 1.0 (+.f64 m 1.0))))) 1.0) (-.f64 1.0 m))
0.1b	(/.f64 (.f64 m (-.f64 (pow.f64 1.0 3) (pow.f64 m 3))) (.f64 v (+.f64 (.f64 m m) (.f64 1.0 (+.f64 m 1.0)))))
0.1b	(.f64 v (+.f64 (.f64 m m) (*.f64 1.0 (+.f64 m 1.0))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
33×	`associate-r_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`difference-of-squares_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
11×	`associate-l_binary64`
10×	`pow1_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
8×	`flip3--_binary64` `sqr-pow_binary64` `flip--_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`difference-cubes_binary64` `associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 123

Calls

4 calls:

22.0ms	(*.f64 m (-.f64 (pow.f64 1.0 3) (pow.f64 m 3)))
29.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1.0 3) (pow.f64 m 3))) (.f64 v (+.f64 (.f64 m m) (*.f64 1.0 (+.f64 m 1.0))))) 1.0) (-.f64 1.0 m))
23.0ms	(/.f64 (.f64 m (-.f64 (pow.f64 1.0 3) (pow.f64 m 3))) (.f64 v (+.f64 (.f64 m m) (.f64 1.0 (+.f64 m 1.0)))))
7.0ms	(.f64 v (+.f64 (.f64 m m) (*.f64 1.0 (+.f64 m 1.0))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(*.f64 m (-.f64 (pow.f64 1.0 3) (pow.f64 m 3)))
20.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1.0 3) (pow.f64 m 3))) (.f64 v (+.f64 (.f64 m m) (*.f64 1.0 (+.f64 m 1.0))))) 1.0) (-.f64 1.0 m))
17.0ms	(/.f64 (.f64 m (-.f64 (pow.f64 1.0 3) (pow.f64 m 3))) (.f64 v (+.f64 (.f64 m m) (.f64 1.0 (+.f64 m 1.0)))))
12.0ms	(.f64 v (+.f64 (.f64 m m) (*.f64 1.0 (+.f64 m 1.0))))

simplify74.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4965	2615
1	4965	2615

prune180.0ms

Filtered

89 candidates to 135 candidates (-51.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	135	5	140

Merged error: 0.0b

Counts

140 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1.0 m))
0.1b	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
0.1b	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m))) (-.f64 (sqrt.f64 1.0) (sqrt.f64 m)))
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times_binary64`
27×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64` `flip3--_binary64` `flip--_binary64`
19×	`associate-r_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-*l/_binary64`
14×	`associate-*r/_binary64`
13×	`pow1_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
11×	`add-cube-cbrt_binary64`
9×	`associate-l_binary64`
8×	`sqrt-prod_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 131

Calls

4 calls:

7.0ms	(*.f64 m (-.f64 1.0 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
24.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m))) (-.f64 (sqrt.f64 1.0) (sqrt.f64 m)))
20.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 m (-.f64 1.0 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
22.0ms	(.f64 (.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m))) (-.f64 (sqrt.f64 1.0) (sqrt.f64 m)))
21.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) (+.f64 (sqrt.f64 1.0) (sqrt.f64 m)))

simplify64.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5067	2706

prune178.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	143	5	148

Merged error: 0.0b

Counts

148 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 1.0 m))
0.1b	(cbrt.f64 (-.f64 1.0 m))
0.1b	(cbrt.f64 (-.f64 1.0 m))
0.1b	(*.f64 (cbrt.f64 (-.f64 1.0 m)) (cbrt.f64 (-.f64 1.0 m)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1.0 m))
3.0ms	(cbrt.f64 (-.f64 1.0 m))
3.0ms	(cbrt.f64 (-.f64 1.0 m))
12.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 m)) (cbrt.f64 (-.f64 1.0 m)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt.f64 (-.f64 1.0 m))
7.0ms	(cbrt.f64 (-.f64 1.0 m))
7.0ms	(cbrt.f64 (-.f64 1.0 m))
10.0ms	(*.f64 (cbrt.f64 (-.f64 1.0 m)) (cbrt.f64 (-.f64 1.0 m)))

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5024	1193

prune187.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0b

Counts

118 → 6

regimes99.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	27
1	49	27

end0.0ms

sample541.0ms

Algorithm

intervals

Results

259.0ms	8000×	body	80	valid
147.0ms	8062×	pre	80	true
2.0ms	62×	body	80	invalid

Details

analyze56.0ms

sample23.0ms

simplify533.0ms

prune7.0ms

localize9.0ms

rewrite62.0ms

series38.0ms

simplify33.0ms

prune116.0ms

localize19.0ms

rewrite86.0ms

series63.0ms

simplify74.0ms

prune180.0ms

localize12.0ms

rewrite64.0ms

series56.0ms

simplify64.0ms

prune178.0ms

localize20.0ms

rewrite26.0ms

series35.0ms

simplify51.0ms

prune187.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample541.0ms

Profiling