Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

353×

body

valid

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4464	3
14	5001	3

prune6.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
4.9b	(fma (/ (- y x) t) z x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

7.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series66.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (- y x) t)
39.0ms	(fma (/ (- y x) t) z x)

simplify53.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	194	271
1	528	254
2	1879	245
3	5001	245

prune103.0ms

Filtered

56 candidates to 41 candidates (26.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	9	58

Merged error: 0.0b

Counts

58 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
47×	`times-frac`
39×	`associate-l`
36×	`add-cube-cbrt`
29×	`fma-def`
13×	`associate-*l/`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`associate-r` `associate-/r*`
5×	`pow1` `add-log-exp`
4×	`associate-/l/` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `flip-+`

Counts

3 → 136

Calls

3 calls:

24.0ms	(+ (* (/ (- y x) t) z) x)
7.0ms	(/ (- y x) t)
12.0ms	(* (/ (- y x) t) z)

series111.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* (/ (- y x) t) z) x)
31.0ms	(/ (- y x) t)
46.0ms	(* (/ (- y x) t) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	385	561
1	1558	527
2	5001	512

prune225.0ms

Filtered

145 candidates to 107 candidates (26.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	140	5	145
Fresh	8	0	8
Picked	1	0	1
Done	0	0	0
Total	149	5	154

Merged error: 0b

Counts

154 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- y x) (/ z t)) x)
6.2b	(* (- y x) (/ z t))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
26×	`associate-r`
25×	`add-cube-cbrt` `fma-def`
20×	`times-frac`
18×	`frac-times`
12×	`associate-l`
10×	`flip3--` `flip--` `associate-/l*`
9×	`associate-r/` `associate-/r`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `clear-num` `add-log-exp` `unswap-sqr`
3×	`frac-2neg` `distribute-lft-out` `distribute-lft-out--`
2×	`expm1-log1p-u` `associate-l/` `prod-exp` `un-div-inv` `-commutative` `cbrt-unprod` `log1p-expm1-u` `div-inv` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `sum-log` `flip-+`

Counts

2 → 107

Calls

2 calls:

23.0ms	(+ (* (- y x) (/ z t)) x)
12.0ms	(* (- y x) (/ z t))

series83.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (- y x) (/ z t)) x)
48.0ms	(* (- y x) (/ z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	398	510
1	1934	486
2	5001	471

prune182.0ms

Filtered

113 candidates to 85 candidates (24.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	114	4	118

Merged error: 0b

Counts

118 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y x) (/ t z)) x)
6.9b	(/ (- y x) (/ t z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
167×	`*-un-lft-identity`
165×	`add-sqr-sqrt`
111×	`add-cube-cbrt`
78×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
18×	`associate-/r/`
13×	`div-inv`
11×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 204

Calls

2 calls:

40.0ms	(+ (/ (- y x) (/ t z)) x)
11.0ms	(/ (- y x) (/ t z))

series85.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (/ (- y x) (/ t z)) x)
46.0ms	(/ (- y x) (/ t z))

simplify66.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	637	1004
1	2367	952
2	5001	949

prune355.0ms

Filtered

210 candidates to 159 candidates (24.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	210	4	214

Merged error: 0b

Counts

214 → 4

regimes73.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample565.0ms

Algorithm

intervals

Results

294.0ms

10647×

body

valid