Details

analyze564.0ms

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
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	40×	body	80	invalid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	159	10
1	159	10

prune1.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	6200	214

prune10.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
1.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
1.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
1.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

rewrite25.0ms

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:

11.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t))))
140.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
143.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
140.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4947	2204
1	4947	2204

prune77.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
1.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
2.3b	(-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))
27.3b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
18×	`difference-of-squares_binary64`
12×	`unpow2_binary64` `sqr-pow_binary64`
11×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64` `add-log-exp_binary64`
4×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
3×	`pow1/3_binary64`
2×	`distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

4 → 70

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
7.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))
7.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
143.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
107.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))
145.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)))

simplify91.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4982	1804
1	4982	1804

prune87.0ms

Filtered

61 candidates to 82 candidates (-34.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.3b	(pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3)
33.5b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

3 → 59

Calls

3 calls:

4.0ms	(-.f64 (.f64 x y) (.f64 z t))
5.0ms	(pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3)
5.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3))

series260.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(-.f64 (.f64 x y) (.f64 z t))
145.0ms	(pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3)
46.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x y) (.f64 z t)) 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5231	1196

prune29.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	68	4	72

Merged error: 0b

Counts

72 → 4

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms

sample480.0ms

Algorithm

intervals

Results

211.0ms	8000×	body	80	valid
34.0ms	1368×	body	80	invalid

Details

analyze564.0ms

sample16.0ms

simplify19.0ms

prune1.0ms

localize5.0ms

rewrite4.0ms

series41.0ms

simplify80.0ms

prune10.0ms

localize9.0ms

rewrite25.0ms

series592.0ms

simplify84.0ms

prune77.0ms

localize18.0ms

rewrite25.0ms

series537.0ms

simplify91.0ms

prune87.0ms

localize9.0ms

rewrite15.0ms

series260.0ms

simplify57.0ms

prune29.0ms

regimes80.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample480.0ms

Profiling