Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

306×

body

valid

simplify88.0ms

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

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: 10.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
10.4b	(/ (* 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)

series96.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* x (- y z))
58.0ms	(/ (* x (- y z)) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (15.0ms)

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

prune119.0ms

Filtered

77 candidates to 41 candidates (53.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
3.0b	(/ 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:

6.0ms	(/ y (- y z))
9.0ms	(/ x (/ y (- y z)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ y (- y z))
58.0ms	(/ x (/ y (- y z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (58.0ms)

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

prune290.0ms

Filtered

149 candidates to 112 candidates (75.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	2	2	4
Picked	1	0	1
Done	1	0	1
Total	150	5	155

Merged error: 0.0b

Counts

155 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.2b	(* 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))

series91.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- y z) y)
53.0ms	(* x (/ (- y z) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (47.0ms)

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

prune158.0ms

Filtered

86 candidates to 61 candidates (70.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

3.2b	(* x (- 1 (/ z y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
78×	`prod-diff`
75×	`*-un-lft-identity`
71×	`add-cube-cbrt`
56×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r`
6×	`div-inv`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `unswap-sqr`

Counts

1 → 109

Calls

1 calls:

15.0ms

(* x (- 1 (/ z y)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* x (- 1 (/ z y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	533	2051
1	2260	1357
2	5002	1071

prune62.0ms

Filtered

112 candidates to 25 candidates (22.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	112	5	117

Merged error: 0b

Counts

117 → 5

regimes94.0ms

Accuracy

15.5% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 3.3b

bsearch93.0ms

Steps

Iters	Range		Point
11	2.695775082118271e-191	1.375169157641957e-170	1.6466713287575296e-176
8	-2.286053767533532e-210	-7.727194503473757e-215	-4.39403416583893e-211

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	23	6

end0.0ms

sample459.0ms

Algorithm

intervals

Results

259.0ms

9599×

body

valid