Details

analyze667.0ms

Algorithm

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	100×	body	80	invalid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune4.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
9.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

series28.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
11.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify41.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5066	573

prune64.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
0.0b	(*.f64 (-.f64 y z) (neg.f64 x))
0.0b	(+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x)))
0.0b	(*.f64 (-.f64 y z) t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
12×	`associate-*l/_binary64`
11×	`add-log-exp_binary64`
10×	`add-cube-cbrt_binary64` `associate-l_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `flip--_binary64`
4×	`frac-add_binary64` `sum-log_binary64`
3×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `*-commutative_binary64`
1×	`associate-+r-_binary64` `neg-mul-1_binary64` `associate-+r+_binary64`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
8.0ms	(*.f64 (-.f64 y z) (neg.f64 x))
9.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x)))
7.0ms	(*.f64 (-.f64 y z) t)

series47.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x))))
8.0ms	(*.f64 (-.f64 y z) (neg.f64 x))
15.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x)))
8.0ms	(*.f64 (-.f64 y z) t)

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5213	889

prune87.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
1.9b	(-.f64 (.f64 y y) (.f64 z z))
5.5b	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
19.2b	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

9.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
10.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
13.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

series156.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+.f64 x (/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
7.0ms	(-.f64 (.f64 y y) (.f64 z z))
27.0ms	(.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z)))
43.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5008	1339

prune92.0ms

Filtered

78 candidates to 100 candidates (-28.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	3	0	3
Picked	0	1	1
Done	1	1	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.0b	(+.f64 x (/.f64 (-.f64 t x) (/.f64 1 (-.f64 y z))))
0.2b	(/.f64 (-.f64 t x) (/.f64 1 (-.f64 y z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac_binary64`
179×	`*-un-lft-identity_binary64`
177×	`add-sqr-sqrt_binary64`
89×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
26×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
15×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`associate-/l/_binary64` `1-exp_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 205

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 y z))
32.0ms	(+.f64 x (/.f64 (-.f64 t x) (/.f64 1 (-.f64 y z))))
13.0ms	(/.f64 (-.f64 t x) (/.f64 1 (-.f64 y z)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 1 (-.f64 y z))
18.0ms	(+.f64 x (/.f64 (-.f64 t x) (/.f64 1 (-.f64 y z))))
11.0ms	(/.f64 (-.f64 t x) (/.f64 1 (-.f64 y z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5277	2992

prune125.0ms

Filtered

117 candidates to 214 candidates (-82.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	214	3	217

Merged error: 0b

Counts

217 → 3

regimes270.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	229	13
1	229	13

end0.0ms

sample543.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
74.0ms	2619×	body	80	invalid

Details

analyze667.0ms

sample22.0ms

simplify103.0ms

prune4.0ms

localize7.0ms

rewrite15.0ms

series28.0ms

simplify41.0ms

prune64.0ms

localize11.0ms

rewrite34.0ms

series47.0ms

simplify48.0ms

prune87.0ms

localize11.0ms

rewrite39.0ms

series156.0ms

simplify60.0ms

prune92.0ms

localize8.0ms

rewrite61.0ms

series38.0ms

simplify59.0ms

prune125.0ms

regimes270.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample543.0ms

Profiling