Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

308×

body

valid

simplify77.0ms

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: 11.7b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.2b	(/ (* x (- y z)) y)

rewrite19.0ms

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

series93.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (- y z))
51.0ms	(/ (* x (- y z)) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (12.0ms)

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

prune123.0ms

Filtered

77 candidates to 41 candidates (53.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.3b	(/ x (/ y (- y z)))

rewrite22.0ms

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

series96.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ y (- y z))
53.0ms	(/ x (/ y (- y z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (52.0ms)

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

prune342.0ms

Filtered

149 candidates to 112 candidates (75.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	143	6	149
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	149	8	157

Merged error: 0b

Counts

157 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.4b	(* x (/ (- y z) y))

rewrite21.0ms

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (- y z) y)
58.0ms	(* x (/ (- y z) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (37.0ms)

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

prune182.0ms

Filtered

86 candidates to 61 candidates (70.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	86	8	94

Merged error: 0b

Counts

94 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (* x z) y))
5.2b	(/ (* x z) y)

rewrite13.0ms

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:

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

series49.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- x (/ (* x z) y))
19.0ms	(/ (* x z) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (40.0ms)

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

prune114.0ms

Filtered

69 candidates to 40 candidates (58.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	2	3	5
Picked	1	0	1
Done	1	1	2
Total	71	6	77

Merged error: 0b

Counts

77 → 6

regimes109.0ms

Accuracy

-12% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.8b

bsearch91.0ms

Steps

Iters	Range	Point
10	2.4872208187824916e+204	5.34809238413508e+218	7.326289823109739e+217
7	1.0280636157939042e+110	2.0574405246619995e+111	3.9649337337447664e+110
6	-9.769368910433462e+117	-1.9189580122017433e+117	-7.009735605830332e+117

Iters

Range

Point

2.4872208187824916e+204

5.34809238413508e+218

7.326289823109739e+217

1.0280636157939042e+110

2.0574405246619995e+111

3.9649337337447664e+110

-9.769368910433462e+117

-1.9189580122017433e+117

-7.009735605830332e+117

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

sample404.0ms

Algorithm

intervals

Results

208.0ms

9657×

body

valid