Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

393×

body

valid

simplify12.0ms

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

prune7.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
6.6b	(* (* a z) b)

rewrite20.0ms

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:

5.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
5.0ms	(* (* a z) b)

series175.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (+ x (* y z)) (* t a))
80.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(+ x (* y z))
25.0ms	(* (* a z) b)

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (43.0ms)

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

prune157.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

6.6b	(* (* a z) b)
13.1b	(cbrt (* (* a z) b))
13.1b	(cbrt (* (* a z) b))
13.1b	(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))
3.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series309.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* a z) b)
94.0ms	(cbrt (* (* a z) b))
94.0ms	(cbrt (* (* a z) b))
91.0ms	(cbrt (* (* a z) b))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (69.0ms)

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

prune183.0ms

Filtered

57 candidates to 45 candidates (78.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	57	5	62

Merged error: 0.0b

Counts

62 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ t (* z b))
0.0b	(+ x (* a (+ t (* z b))))
2.7b	(* a (+ t (* z b)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

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

series146.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ t (* z b))
66.0ms	(+ x (* a (+ t (* z b))))
55.0ms	(* a (+ t (* z b)))

simplify143.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	233	259
1	962	236
2	4850	236
3	5002	236

prune146.0ms

Filtered

55 candidates to 41 candidates (74.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.0b	(* (cbrt a) (+ t (* z b)))
2.2b	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `add-log-exp`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
6.0ms	(* (cbrt a) (+ t (* z b)))
11.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

series662.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt a)
176.0ms	(cbrt a)
227.0ms	(* (cbrt a) (+ t (* z b)))
85.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

simplify52.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	334	575
1	1539	439
2	5001	392

prune206.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	88	8	96

Merged error: 0.0b

Counts

96 → 8

Details

sample37.0ms

simplify12.0ms

prune7.0ms

localize11.0ms

rewrite20.0ms

series175.0ms

simplify49.0ms

prune157.0ms

localize15.0ms

rewrite16.0ms

series309.0ms

simplify74.0ms

prune183.0ms

localize14.0ms

rewrite12.0ms

series146.0ms

simplify143.0ms

prune146.0ms

localize14.0ms

rewrite21.0ms

series662.0ms

simplify52.0ms

prune206.0ms

regimes282.0ms

bsearch3.0ms

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