Details

sample29.0ms

Algorithm

intervals

Results

11.0ms	118×	pre	10240	exit
5.0ms	138×	pre	80	true
4.0ms	256×	body	80	valid

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: 8.2b

localize4.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.8b	(- (/ x0 (- 1.0 x1)) x0)

rewrite52.0ms

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))
39.0ms	(- (/ x0 (- 1.0 x1)) x0)

series76.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ x0 (- 1.0 x1))
44.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify58.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (43.0ms)

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

prune144.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (cbrt x0) (- 1.0 x1))
6.5b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

6.0ms	(/ (cbrt x0) (- 1.0 x1))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series171.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/ (cbrt x0) (- 1.0 x1))
87.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify36.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	307	589
1	1046	558
2	5001	548

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (cbrt x0) (- 1.0 x1))
0.8b	(exp (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
6.5b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
24×	`add-cube-cbrt`
18×	`cbrt-prod`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/l*`
5×	`add-exp-log` `associate-/r*`
4×	`pow1` `exp-prod` `add-cbrt-cube`
3×	`expm1-log1p-u` `log-prod` `exp-sum` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `log-pow` `flip--` `fma-udef` `div-inv` `rem-exp-log`

Counts

3 → 84

Calls

3 calls:

7.0ms	(/ (cbrt x0) (- 1.0 x1))
1.0ms	(exp (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series263.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (cbrt x0) (- 1.0 x1))
89.0ms	(exp (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
88.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify39.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	338	821
1	1104	767
2	5002	729

prune252.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (cbrt x0) (- 1.0 x1))
1.5b	(pow E (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
6.5b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
25×	`add-cube-cbrt`
18×	`cbrt-prod`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `associate-/l*`
5×	`pow1` `associate-/r*`
4×	`pow-unpow` `add-cbrt-cube`
3×	`unpow-prod-up` `expm1-log1p-u` `unpow-prod-down` `log-prod` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `associate-/r/`
1×	`cbrt-undiv` `pow-to-exp` `e-exp-1` `flip3--` `pow-pow` `frac-2neg` `div-exp` `clear-num` `log-pow` `flip--` `fma-udef` `div-inv` `sqr-pow`

Counts

3 → 91

Calls

3 calls:

6.0ms	(/ (cbrt x0) (- 1.0 x1))
2.0ms	(pow E (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series324.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (cbrt x0) (- 1.0 x1))
150.0ms	(pow E (log (fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))))
88.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify47.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	409	983
1	1435	937
2	5001	907

prune267.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.8b

regimes73.0ms

Accuracy

57.8% (1.1b remaining)

Error of 5.5b against oracle of 4.4b and baseline of 7.0b

bsearch19.0ms

Steps

Iters	Range		Point
4	1.855	2.985	2.9451562499999997

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	23
1	28	23

end0.0ms

sample696.0ms

Algorithm

intervals

Results

366.0ms	3994×	pre	10240	exit
134.0ms	8000×	body	80	valid
62.0ms	4006×	pre	80	true