Details

analyze694.0ms

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
2.0ms	82×	body	80	invalid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

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))

rewrite16.0ms

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)))
10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

series26.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify49.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5066	573

prune63.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.0b

Counts

52 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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

series49.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 (-.f64 y z) (neg.f64 x))
17.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 (-.f64 y z) (neg.f64 x)))
16.0ms	(+.f64 x (+.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 (39.0ms)

Iter	Nodes	Cost
0	5213	889

prune85.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
0.9b	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
0.9b	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
0.9b	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div_binary64`
148×	`frac-times_binary64`
126×	`flip3--_binary64` `flip--_binary64`
50×	`associate-r/_binary64` `associate-l/_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 162

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
8.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
10.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
8.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

series603.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
96.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
96.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
98.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

simplify99.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4915	4918
1	4915	4918

prune155.0ms

Filtered

123 candidates to 174 candidates (-41.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	174	4	178

Merged error: 0.0b

Counts

178 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x)))
1.4b	(-.f64 (.f64 t t) (.f64 x x))
6.7b	(.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x)))
18.3b	(/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))

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:

8.0ms	(+.f64 x (/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x)))
5.0ms	(-.f64 (.f64 t t) (.f64 x x))
10.0ms	(.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x)))
14.0ms	(/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))

series118.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+.f64 x (/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x)))
6.0ms	(-.f64 (.f64 t t) (.f64 x x))
29.0ms	(.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x)))
41.0ms	(/.f64 (.f64 (-.f64 y z) (-.f64 (.f64 t t) (*.f64 x x))) (+.f64 t x))

simplify52.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4989	1341
1	4989	1341

prune86.0ms

Filtered

78 candidates to 100 candidates (-28.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	100	4	104

Merged error: 0b

Counts

104 → 4

regimes344.0ms

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

sample553.0ms

Algorithm

intervals

Results

219.0ms	8000×	body	80	valid
72.0ms	2472×	body	80	invalid

Details

analyze694.0ms

sample22.0ms

simplify103.0ms

prune4.0ms

localize7.0ms

rewrite16.0ms

series26.0ms

simplify49.0ms

prune63.0ms

localize9.0ms

rewrite37.0ms

series49.0ms

simplify48.0ms

prune85.0ms

localize10.0ms

rewrite50.0ms

series603.0ms

simplify99.0ms

prune155.0ms

localize11.0ms

rewrite39.0ms

series118.0ms

simplify52.0ms

prune86.0ms

regimes344.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample553.0ms

Profiling