Details

sample69.0ms

Algorithm

intervals

Results

25.0ms

457×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune7.0ms

Filtered

1 candidates to 0 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 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 27

Calls

2 calls:

11.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))

series126.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify116.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	208	281
1	836	266
2	4400	260
3	5002	260

prune88.0ms

Filtered

33 candidates to 25 candidates (24.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

17.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
7.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
50.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
52.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
50.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	282	1801
1	1050	1679
2	5001	1548

prune348.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
0.3b	(* (* a b) (* a b))
3.4b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
27.2b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
6.0ms	(* (* a b) (* a b))
10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
16.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
6.0ms	(* (* a b) (* a b))
154.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
85.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify112.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	565	1612
1	3148	1411
2	5001	1359

prune677.0ms

Filtered

132 candidates to 81 candidates (38.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Merged error: 0.0b

Counts

136 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.3b	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
37.4b	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

10.0ms	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))
6.0ms	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
6.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

series2.1s

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ (cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3)) (* c i))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))
2.0s	(pow (+ (+ (* x y) (* z t)) (* a b)) 3)
21.0ms	(cbrt (pow (+ (+ (* x y) (* z t)) (* a b)) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	351	823
1	1813	740
2	5002	732

prune229.0ms

Filtered

84 candidates to 52 candidates (38.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

regimes1.5s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

662.0ms

13561×

body

valid

Details

sample69.0ms

simplify8.0ms

prune7.0ms

localize11.0ms

rewrite17.0ms

series126.0ms

simplify116.0ms

prune88.0ms

localize16.0ms

rewrite40.0ms

series227.0ms

simplify46.0ms

prune348.0ms

localize16.0ms

rewrite44.0ms

series260.0ms

simplify112.0ms

prune677.0ms

localize15.0ms

rewrite29.0ms

series2.1s

simplify59.0ms

prune229.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling