Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

321×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	4
1	18	4
2	32	4
3	47	4
4	57	4
5	75	4
6	109	4
7	178	4
8	397	4
9	1369	4
10	5001	4

prune2.0ms

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: 8.9b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
8.3b	(/ (+ x (* y (- z x))) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

3.0ms	(+ x (* y (- z x)))
6.0ms	(* y (- z x))
5.0ms	(/ (+ x (* y (- z x))) z)

series111.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (* y (- z x)))
38.0ms	(* y (- z x))
44.0ms	(/ (+ x (* y (- z x))) z)

simplify118.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	259	420
1	1042	388
2	4783	388
3	5001	388

prune128.0ms

Filtered

79 candidates to 54 candidates (68.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Merged error: 3.5b

Counts

80 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x z) y)
6.6b	(/ (* x y) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ (/ x z) y)
4.0ms	(/ (* x y) z)

series36.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (/ x z) y)
19.0ms	(/ (* x y) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	177	143
1	744	124
2	3530	123
3	5003	123

prune65.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
4.1b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
17.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt z)
172.0ms	(cbrt z)
179.0ms	(cbrt z)
47.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	420	720
1	2228	581
2	5001	542

prune221.0ms

Filtered

104 candidates to 82 candidates (78.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x z) y)
6.8b	(/ x (/ z y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

2 → 82

Calls

2 calls:

6.0ms	(+ (/ x z) y)
6.0ms	(/ x (/ z y))

series43.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (/ x z) y)
26.0ms	(/ x (/ z y))

simplify44.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	389	510
1	1535	486
2	5001	485

prune318.0ms

Filtered

88 candidates to 69 candidates (78.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Merged error: 0.0b

Counts

93 → 5

regimes68.0ms

Accuracy

58.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.9b

bsearch48.0ms

Steps

Iters	Range		Point
3	1.0082629341998017e-112	1.2378848149591382e-112	1.0911286082018742e-112
9	-2.467727434408496e-39	-3.6259292736707265e-44	-1.4105835320874087e-42

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample491.0ms

Algorithm

intervals

Results

291.0ms

10113×

body

valid