Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

391×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.5b	(* (* a z) b)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
3.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* (* a z) b)

series185.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms	(+ x (* y z))
50.0ms	(+ (+ x (* y z)) (* t a))
26.0ms	(* (* a z) b)

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune152.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

5.5b	(* (* a z) b)
15.6b	(cbrt (* (* a z) b))
15.6b	(cbrt (* (* a z) b))
15.6b	(cbrt (* (* a z) b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series295.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a z) b)
89.0ms	(cbrt (* (* a z) b))
91.0ms	(cbrt (* (* a z) b))
90.0ms	(cbrt (* (* a z) b))

simplify71.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	181	286
1	716	238
2	3196	229
3	5001	207

prune160.0ms

Filtered

57 candidates to 45 candidates (78.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Merged error: 0.0b

Counts

61 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.8b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.9b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
12.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt b)
171.0ms	(cbrt b)
48.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
99.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify46.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	258	535
1	1318	385
2	5001	337

prune185.0ms

Filtered

86 candidates to 54 candidates (62.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt b))
0.6b	(cbrt (* (cbrt b) (cbrt b)))
1.8b	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
3.9b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1` `add-exp-log`
39×	`pow-prod-down` `prod-exp` `cbrt-unprod`
35×	`add-cbrt-cube`
10×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `associate-l` `*-commutative`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt (cbrt b))
4.0ms	(cbrt (* (cbrt b) (cbrt b)))
16.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
9.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series653.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (cbrt b))
266.0ms	(cbrt (* (cbrt b) (cbrt b)))
44.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
100.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	363	1026
1	1584	778
2	5001	697

prune201.0ms

Filtered

97 candidates to 51 candidates (52.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

Details

sample34.0ms

simplify13.0ms

prune8.0ms

localize17.0ms

rewrite22.0ms

series185.0ms

simplify50.0ms

prune152.0ms

localize19.0ms

rewrite16.0ms

series295.0ms

simplify71.0ms

prune160.0ms

localize14.0ms

rewrite25.0ms

series500.0ms

simplify46.0ms

prune185.0ms

localize19.0ms

rewrite36.0ms

series653.0ms

simplify58.0ms

prune201.0ms

regimes209.0ms

bsearch2.0ms

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