Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

280×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.0b	(fma y (/ (- z t) (- z a)) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

12.0ms	(/ (- z t) (- z a))
0.0ms	(fma y (/ (- z t) (- z a)) x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- z t) (- z a))
77.0ms	(fma y (/ (- z t) (- z a)) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	260	433
1	705	410
2	2411	410
3	5001	410

prune197.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
4.0b	(cbrt (/ (- z t) (- z a)))
4.0b	(cbrt (/ (- z t) (- z a)))
4.0b	(cbrt (/ (- z t) (- z a)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

0.0ms	(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
9.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))

series555.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
153.0ms	(cbrt (/ (- z t) (- z a)))
141.0ms	(cbrt (/ (- z t) (- z a)))
134.0ms	(cbrt (/ (- z t) (- z a)))

simplify90.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 4 (75.0ms)

Iter	Nodes	Cost
0	238	1445
1	439	1387
2	961	1374
3	2460	1348
4	5001	1339

prune521.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- z a)))
1.0b	(fma y (* (* (cbrt (/ (- z t) (- z a))) (* (cbrt (- z t)) (cbrt (/ 1 (- z a))))) (cbrt (/ (- z t) (- z a)))) x)
4.0b	(cbrt (/ (- z t) (- z a)))
4.0b	(cbrt (/ (- z t) (- z a)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

83×	`cbrt-prod`
81×	`add-sqr-sqrt` `*-un-lft-identity`
65×	`times-frac`
35×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 126

Calls

4 calls:

4.0ms	(cbrt (/ 1 (- z a)))
0.0ms	(fma y (* (* (cbrt (/ (- z t) (- z a))) (* (cbrt (- z t)) (cbrt (/ 1 (- z a))))) (cbrt (/ (- z t) (- z a)))) x)
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))

series532.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (/ 1 (- z a)))
83.0ms	(fma y (* (* (cbrt (/ (- z t) (- z a))) (* (cbrt (- z t)) (cbrt (/ 1 (- z a))))) (cbrt (/ (- z t) (- z a)))) x)
146.0ms	(cbrt (/ (- z t) (- z a)))
143.0ms	(cbrt (/ (- z t) (- z a)))

simplify96.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	386	1333
1	823	1273
2	2816	1253
3	5001	1212

prune747.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* y (- z t)) (- z a)) x)
10.1b	(/ (* y (- z t)) (- z a))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`fma-def`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`associate-/r/` `add-log-exp`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate-/l*`

Counts

2 → 56

Calls

2 calls:

31.0ms	(+ (/ (* y (- z t)) (- z a)) x)
14.0ms	(/ (* y (- z t)) (- z a))

series161.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ (/ (* y (- z t)) (- z a)) x)
70.0ms	(/ (* y (- z t)) (- z a))

simplify39.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	287	308
1	1075	278
2	5001	276

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample772.0ms

Algorithm

intervals

Results

504.0ms	8709×	body	80	valid
0.0ms	1×	body	640	valid