Details

sample47.0ms

Algorithm

intervals

Results

22.0ms

485×

body

valid

simplify194.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	9
1	77	9
2	230	9
3	735	9
4	1920	9
5	2994	9
6	3388	9
7	4078	9
8	5001	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 7.9b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
9.8b	(* (* (+ a (* b c)) c) i)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

3.0ms	(+ (* x y) (* z t))
7.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
5.0ms	(* (+ a (* b c)) c)
6.0ms	(* (* (+ a (* b c)) c) i)

series732.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x y) (* z t))
583.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
45.0ms	(* (+ a (* b c)) c)
64.0ms	(* (* (+ a (* b c)) c) i)

simplify65.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	436	655
1	2076	599
2	5003	591

prune274.0ms

Filtered

81 candidates to 59 candidates (72.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	10	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	10	82

Merged error: 1.0b

Counts

82 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `frac-sub`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`

Counts

3 → 49

Calls

3 calls:

4.0ms	(+ (* x y) (* z t))
7.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0ms	(* (+ a (* b c)) (* c i))

series683.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* z t))
587.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
63.0ms	(* (+ a (* b c)) (* c i))

simplify62.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	397	546
1	1767	506
2	5001	498

prune218.0ms

Filtered

58 candidates to 42 candidates (72.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	55	13	68

Merged error: 1.0b

Counts

68 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

5.5b	(* (+ a (* b c)) (* c i))
8.2b	(cbrt (* (+ a (* b c)) (* c i)))
8.2b	(cbrt (* (+ a (* b c)) (* c i)))
8.2b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* (+ a (* b c)) (* c i))
5.0ms	(cbrt (* (+ a (* b c)) (* c i)))
5.0ms	(cbrt (* (+ a (* b c)) (* c i)))
5.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (+ a (* b c)) (* c i))
137.0ms	(cbrt (* (+ a (* b c)) (* c i)))
134.0ms	(cbrt (* (+ a (* b c)) (* c i)))
139.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify38.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	321	576
1	1103	516
2	5001	500

prune328.0ms

Filtered

65 candidates to 53 candidates (81.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	65	13	78

Merged error: 1.0b

Counts

78 → 13

localize23.0ms

Local error

Found 4 expressions with local error:

5.5b	(* (+ a (* b c)) (* c i))
8.2b	(cbrt (* (+ a (* b c)) (* c i)))
8.2b	(cbrt (* (+ a (* b c)) (* c i)))
9.9b	(cbrt (* c i))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-*l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`cbrt-div` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-r` `*-commutative`

Counts

4 → 51

Calls

4 calls:

6.0ms	(* (+ a (* b c)) (* c i))
5.0ms	(cbrt (* (+ a (* b c)) (* c i)))
5.0ms	(cbrt (* (+ a (* b c)) (* c i)))
2.0ms	(cbrt (* c i))

series397.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ a (* b c)) (* c i))
138.0ms	(cbrt (* (+ a (* b c)) (* c i)))
132.0ms	(cbrt (* (+ a (* b c)) (* c i)))
66.0ms	(cbrt (* c i))

simplify40.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	361	481
1	1200	424
2	5001	406

prune305.0ms

Filtered

63 candidates to 50 candidates (79.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	64	12	76

Merged error: 1.0b

Counts

76 → 12

regimes916.0ms

Accuracy

0% (1.0b remaining)

Error of 1.9b against oracle of 0.9b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

746.0ms

15364×

body

valid