Details

analyze314.0ms

Algorithm

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	243×	body	80	valid
0.0ms	18×	body	80	invalid
0.0ms	5×	body	320	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune2.0ms

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 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
0.0b	(*.f64 x (+.f64 y z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
6.0ms	(*.f64 x (+.f64 y z))

series51.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
26.0ms	(*.f64 x (+.f64 y z))

simplify94.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4964	518
1	4964	518

prune30.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 z 5))
0.0b	(+.f64 (.f64 x y) (.f64 x z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 z 5))
4.0ms	(+.f64 (.f64 x y) (.f64 x z))

series54.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 z 5))
29.0ms	(+.f64 (.f64 x y) (.f64 x z))

simplify69.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5478	454

prune18.0ms

Filtered

20 candidates to 31 candidates (-55.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
20.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5))))

series759.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
157.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
160.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
288.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5))))

simplify93.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4946	2635
1	4946	2635

prune117.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 z 25))
0.3b	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
4.4b	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (*.f64 z 25)))
26.0b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (.f64 z 25))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow-prod-down_binary64`
14×	`associate-*r/_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`times-frac_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
4×	`pow-prod-up_binary64` `associate-l_binary64` `pow-sqr_binary64` `frac-times_binary64` `associate--l+_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-r_binary64` `associate-/r/_binary64` `pow-plus_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `swap-sqr_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow2_binary64`

Counts

4 → 111

Calls

4 calls:

5.0ms	(.f64 z (.f64 z 25))
13.0ms	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
15.0ms	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (*.f64 z 25)))
24.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (.f64 z 25))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(.f64 z (.f64 z 25))
35.0ms	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
67.0ms	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (*.f64 z 25)))
141.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (.f64 z 25))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))

simplify65.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5134	2950

prune89.0ms

Filtered

74 candidates to 123 candidates (-66.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

regimes73.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

end0.0ms

sample413.0ms

Algorithm

intervals

Results

197.0ms	7661×	body	80	valid
18.0ms	647×	body	80	invalid
13.0ms	110×	body	1280	valid
12.0ms	128×	body	640	valid
4.0ms	62×	body	320	valid
2.0ms	39×	body	160	valid

Details

analyze314.0ms

sample17.0ms

simplify13.0ms

prune2.0ms

localize7.0ms

rewrite15.0ms

series51.0ms

simplify94.0ms

prune30.0ms

localize7.0ms

rewrite12.0ms

series54.0ms

simplify69.0ms

prune18.0ms

localize11.0ms

rewrite42.0ms

series759.0ms

simplify93.0ms

prune117.0ms

localize15.0ms

rewrite60.0ms

series261.0ms

simplify65.0ms

prune89.0ms

regimes73.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample413.0ms

Profiling