Details

sample26.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
4.0ms	256×	pre	80	false
4.0ms	256×	pre	80	true

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize4.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.5b	(- (/ x0 (- 1.0 x1)) x0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
76×	`times-frac`
69×	`add-cube-cbrt`
63×	`prod-diff`
21×	`fma-neg`
18×	`difference-of-squares`
17×	`distribute-lft-out--`
10×	`associate-/r/`
6×	`flip3--` `flip--`
5×	`associate-/r*` `div-inv`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

2 → 140

Calls

2 calls:

5.0ms	(/ x0 (- 1.0 x1))
14.0ms	(- (/ x0 (- 1.0 x1)) x0)

series81.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ x0 (- 1.0 x1))
47.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify57.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	421	1434
1	1527	945
2	5001	894

prune147.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize9.0ms

Local error

Found 1 expressions with local error:

6.3b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify150.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	62	143
1	167	123
2	707	119
3	4297	116
4	5001	116

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 2 expressions with local error:

1.0b	(exp (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
6.3b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `*-un-lft-identity`
3×	`pow1` `log-prod` `exp-sum`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log-pow` `fma-udef` `rem-exp-log`

Counts

2 → 27

Calls

2 calls:

2.0ms	(exp (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
1.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series178.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(exp (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
89.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify166.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 4 (157.0ms)

Iter	Nodes	Cost
0	93	375
1	220	334
2	794	304
3	4603	293
4	5001	290

prune76.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize16.0ms

Local error

Found 2 expressions with local error:

1.3b	(pow E (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
6.3b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `pow-unpow`
3×	`unpow-prod-up` `add-exp-log` `unpow-prod-down` `log-prod`
2×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `log-pow` `fma-udef` `sqr-pow`

Counts

2 → 34

Calls

2 calls:

3.0ms	(pow E (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
1.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series241.0ms

Counts

2 → 6

Calls

2 calls:

152.0ms	(pow E (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
89.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify52.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	165	537
1	475	502
2	1949	475
3	5001	438

prune86.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

regimes42.0ms

Accuracy

100% (0.0b remaining)

Error of 5.6b against oracle of 5.6b and baseline of 6.7b

bsearch1.0ms

Steps

Iters	Range		Point
0	0.9814	0.999791	0.9905955

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	45
1	26	45

end0.0ms

sample583.0ms

Algorithm

intervals

Results

129.0ms	8000×	body	80	valid
116.0ms	8000×	pre	80	true
116.0ms	7973×	pre	80	false