Details

sample19.0ms

Algorithm

intervals

Results

5.0ms	205×	body	80	valid
2.0ms	23×	body	640	valid
1.0ms	12×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	7×	body	160	valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (19.0ms)

Iter	Nodes	Cost
0	16	5
1	35	5
2	76	5
3	137	5
4	285	4
5	459	4
6	719	4
7	848	4
8	1064	4
9	1397	4
10	2101	4
11	5002	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize7.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

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:

0.0ms

(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

simplify85.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	59	83
1	163	71
2	523	68
3	1872	66
4	5001	66

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 6.3b

localize15.0ms

Local error

Found 3 expressions with local error:

1.3b	(exp (log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0)))
1.5b	(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)
2.6b	(log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 41

Calls

3 calls:

2.0ms	(exp (log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0)))
0.0ms	(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)
1.0ms	(log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0))

series228.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(exp (log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0)))
71.0ms	(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)
86.0ms	(log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	151	348
1	383	306
2	1437	288
3	5001	272

prune145.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.3b

localize14.0ms

Local error

Found 3 expressions with local error:

1.4b	(pow E (log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0)))
1.5b	(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)
2.6b	(log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

2.0ms	(pow E (log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0)))
0.0ms	(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)
1.0ms	(log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0))

series334.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(pow E (log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0)))
70.0ms	(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)
89.0ms	(log (fma (/ y (+ y 1.0)) (- x 1.0) 1.0))

simplify119.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	222	452
1	702	388
2	3014	374
3	5002	356

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ x y) (- (/ 1.0 y) 1.0) x)

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:

0.0ms

(fma (/ x y) (- (/ 1.0 y) 1.0) x)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(fma (/ x y) (- (/ 1.0 y) 1.0) x)

simplify116.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	45	85
1	121	67
2	489	67
3	2630	67
4	5001	67

prune29.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.8b

regimes77.0ms

Accuracy

50.5% (6.8b remaining)

Error of 7.5b against oracle of 0.7b and baseline of 14.4b

bsearch95.0ms

Steps

Iters	Range		Point
9	8.265728872997005e+49	2.125362142851107e+57	8.378022305507415e+49
7	-1.0769684704681175e+19	-5.137140036294433e+16	-1.3746235338057781e+17

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample476.0ms

Algorithm

intervals

Results

163.0ms	6100×	body	80	valid
73.0ms	722×	body	640	valid
43.0ms	357×	body	1280	valid
38.0ms	539×	body	320	valid
17.0ms	282×	body	160	valid