Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

307×

body

valid

simplify65.0ms

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: 8.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
7.8b	(/ (* x (- y z)) y)

rewrite17.0ms

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:

7.0ms	(* x (- y z))
8.0ms	(/ (* x (- y z)) y)

series81.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (- y z))
48.0ms	(/ (* x (- y z)) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (10.0ms)

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

prune87.0ms

Filtered

77 candidates to 41 candidates (53.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.3b	(/ x (/ y (- y z)))

rewrite20.0ms

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:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ y (- y z))
48.0ms	(/ x (/ y (- y z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (48.0ms)

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

prune233.0ms

Filtered

149 candidates to 112 candidates (75.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	149	4	153

Merged error: 0b

Counts

153 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
2.7b	(* 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:

6.0ms	(/ (- y z) y)
11.0ms	(* x (/ (- y z) y))

series80.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- y z) y)
44.0ms	(* x (/ (- y z) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (43.0ms)

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

prune113.0ms

Filtered

86 candidates to 60 candidates (69.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

12.4b

(* (/ x y) (- y z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 62

Calls

1 calls:

9.0ms

(* (/ x y) (- y z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (/ x y) (- y z))

simplify39.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	367	516
1	1467	369
2	5002	353

prune102.0ms

Filtered

65 candidates to 36 candidates (55.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	65	4	69

Merged error: 0b

Counts

69 → 4

regimes124.0ms

Accuracy

13.9% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.0b

bsearch59.0ms

Steps

Iters	Range		Point
8	2.0759287431932455e-187	1.7570259815212553e-184	6.320240572056151e-185
9	-2.920886200131203e-21	-2.2705629130171564e-29	-7.618280645693821e-23

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample465.0ms

Algorithm

intervals

Results

261.0ms

9621×

body

valid