Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

323×

body

valid

simplify174.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	22	4
1	46	4
2	121	4
3	258	4
4	434	4
5	687	4
6	1957	4
7	5002	4

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: 9.2b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
8.7b	(/ (* x (+ (- y z) 1.0)) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
42×	`times-frac`
25×	`associate-r`
22×	`associate-+l+`
18×	`prod-diff`
15×	`associate-l`
14×	`associate-/l*`
13×	`distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
5×	`*-commutative` `distribute-lft-out--` `unswap-sqr`
4×	`pow1` `associate-*r/`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `expm1-log1p-u` `sub-neg` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 127

Calls

2 calls:

11.0ms	(* x (+ (- y z) 1.0))
17.0ms	(/ (* x (+ (- y z) 1.0)) z)

series98.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (+ (- y z) 1.0))
58.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify148.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	487	1015
1	2465	838
2	5002	838

prune178.0ms

Filtered

133 candidates to 78 candidates (58.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	5	134

Merged error: 0b

Counts

134 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.6b	(/ x (/ z (+ (- y z) 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

157×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`distribute-lft-out`
31×	`associate-/r*`
21×	`associate-/r/`
17×	`distribute-lft-out--`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 153

Calls

2 calls:

8.0ms	(/ z (+ (- y z) 1.0))
13.0ms	(/ x (/ z (+ (- y z) 1.0)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ z (+ (- y z) 1.0))
58.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify142.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	467	1220
1	2177	1167
2	5002	1165

prune229.0ms

Filtered

159 candidates to 103 candidates (64.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	159	5	164

Merged error: 0b

Counts

164 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.7b	(* x (/ (+ (- y z) 1.0) z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
31×	`times-frac`
29×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
19×	`associate-r`
18×	`distribute-lft-out`
13×	`associate-r/` `associate-/l`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/r*`
4×	`pow1` `un-div-inv` `associate-/l/`
3×	`associate-l` `clear-num`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `div-sub` `pow-prod-down` `*-commutative`

Counts

2 → 96

Calls

2 calls:

11.0ms	(/ (+ (- y z) 1.0) z)
15.0ms	(* x (/ (+ (- y z) 1.0) z))

series89.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ (- y z) 1.0) z)
56.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify88.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	318	539
1	1409	492
2	5002	489

prune135.0ms

Filtered

102 candidates to 61 candidates (59.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

7.0b	(* (+ (- y z) 1.0) (/ x z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`frac-times`
15×	`add-cube-cbrt`
13×	`associate-r`
10×	`flip3-+` `times-frac` `flip-+` `associate-/l*`
9×	`associate-r/` `associate-/r`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`clear-num`
3×	`pow1` `frac-2neg`
2×	`associate-*l/` `prod-exp` `un-div-inv` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `*-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp`

Counts

1 → 66

Calls

1 calls:

14.0ms

(* (+ (- y z) 1.0) (/ x z))

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (+ (- y z) 1.0) (/ x z))

simplify108.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	350	523
1	1854	488
2	5001	488

prune109.0ms

Filtered

69 candidates to 48 candidates (69.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Merged error: 0b

Counts

74 → 5

regimes100.0ms

Accuracy

97.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.9b

bsearch70.0ms

Steps

Iters	Range		Point
8	2036.4896763061236	55266295.648746796	413028.1131298533
5	-0.0037838497803388085	-0.0012092302453263254	-0.0017018222102016145

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample471.0ms

Algorithm

intervals

Results

262.0ms

10086×

body

valid