Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

307×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	44	3
3	70	3
4	100	3
5	117	3
6	420	3
7	2976	3
8	5001	3

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: 12.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.6b	(/ (* x (- y z)) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

8.0ms	(* x (- y z))
9.0ms	(/ (* x (- y z)) y)

series98.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (- y z))
58.0ms	(/ (* x (- y z)) y)

simplify62.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	299	483
1	1416	328
2	5001	328

prune135.0ms

Filtered

77 candidates to 41 candidates (53.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Merged error: 0b

Counts

78 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.9b	(/ x (/ y (- y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

6.0ms	(/ y (- y z))
10.0ms	(/ x (/ y (- y z)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ y (- y z))
53.0ms	(/ x (/ y (- y z)))

simplify78.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	479	1057
1	2239	1019
2	5002	1016

prune338.0ms

Filtered

149 candidates to 112 candidates (75.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	3	2	5
Picked	0	1	1
Done	1	0	1
Total	151	5	156

Merged error: 0b

Counts

156 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
2.9b	(* x (/ (- y z) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 80

Calls

2 calls:

7.0ms	(/ (- y z) y)
10.0ms	(* x (/ (- y z) y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- y z) y)
51.0ms	(* x (/ (- y z) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	270	409
1	1205	378
2	5001	377

prune170.0ms

Filtered

86 candidates to 61 candidates (70.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (* x z) y))
5.1b	(/ (* x z) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`prod-diff`
20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt`
12×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`div-inv` `add-log-exp`
3×	`fma-neg` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 63

Calls

2 calls:

7.0ms	(- x (/ (* x z) y))
5.0ms	(/ (* x z) y)

series61.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- x (/ (* x z) y))
23.0ms	(/ (* x z) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	298	617
1	1263	420
2	5001	419

prune112.0ms

Filtered

69 candidates to 40 candidates (58.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	69	5	74

Merged error: 0b

Counts

74 → 5

regimes86.0ms

Accuracy

34.8% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.0b

bsearch46.0ms

Steps

Iters	Range		Point
6	7.0021986566734e-156	4.747733897656233e-155	4.6670035377412496e-155
7	-384343054885.5444	-21514814691.886383	-167125933504.28503

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	6
1	19	6

end0.0ms

sample415.0ms

Algorithm

intervals

Results

221.0ms

9572×

body

valid