Details

sample22.0ms

Algorithm

intervals

Results

14.0ms

335×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- x) (fma 0.12 x 0.253) 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 (- x) (fma 0.12 x 0.253) 1.0)

series32.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	66
1	102	53
2	433	53
3	2132	53
4	5001	53

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (- x) (fma 0.12 x 0.253) 1.0)
0.1b	(pow (fma (- x) (fma 0.12 x 0.253) 1.0) 3)
11.4b	(cbrt (pow (fma (- x) (fma 0.12 x 0.253) 1.0) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma (- x) (fma 0.12 x 0.253) 1.0)
1.0ms	(pow (fma (- x) (fma 0.12 x 0.253) 1.0) 3)
1.0ms	(cbrt (pow (fma (- x) (fma 0.12 x 0.253) 1.0) 3))

series134.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma (- x) (fma 0.12 x 0.253) 1.0)
68.0ms	(pow (fma (- x) (fma 0.12 x 0.253) 1.0) 3)
31.0ms	(cbrt (pow (fma (- x) (fma 0.12 x 0.253) 1.0) 3))

simplify181.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	173	383
1	621	352
2	4178	346
3	5001	346

prune126.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fma (- x) (fma 0.12 x 0.253) 1.0) (fma (- x) (fma 0.12 x 0.253) 1.0))
0.1b	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (* (fma (- x) (fma 0.12 x 0.253) 1.0) (fma (- x) (fma 0.12 x 0.253) 1.0))))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
8.0b	(cbrt (* (fma (- x) (fma 0.12 x 0.253) 1.0) (fma (- x) (fma 0.12 x 0.253) 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`pow1` `cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`add-exp-log`
7×	`associate-r`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `pow-prod-down`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `cube-unmult` `pow-sqr` `pow-prod-up`

Counts

4 → 82

Calls

4 calls:

6.0ms	(* (fma (- x) (fma 0.12 x 0.253) 1.0) (fma (- x) (fma 0.12 x 0.253) 1.0))
5.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (* (fma (- x) (fma 0.12 x 0.253) 1.0) (fma (- x) (fma 0.12 x 0.253) 1.0))))
0.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
2.0ms	(cbrt (* (fma (- x) (fma 0.12 x 0.253) 1.0) (fma (- x) (fma 0.12 x 0.253) 1.0)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (fma (- x) (fma 0.12 x 0.253) 1.0) (fma (- x) (fma 0.12 x 0.253) 1.0))
31.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (* (fma (- x) (fma 0.12 x 0.253) 1.0) (fma (- x) (fma 0.12 x 0.253) 1.0))))
178.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
184.0ms	(cbrt (* (fma (- x) (fma 0.12 x 0.253) 1.0) (fma (- x) (fma 0.12 x 0.253) 1.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	463	1100
1	1656	994
2	5002	962

prune288.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (- x) (fma 0.12 x 0.253) 1.0)
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(pow (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) 3)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow` `pow1/3`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `fma-udef` `rem-cube-cbrt` `sqr-pow`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma (- x) (fma 0.12 x 0.253) 1.0)
0.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
2.0ms	(pow (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) 3)

series685.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(fma (- x) (fma 0.12 x 0.253) 1.0)
374.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
280.0ms	(pow (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) 3)

simplify44.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	387	558
1	1562	501
2	5001	497

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample587.0ms

Algorithm

intervals

Results

462.0ms

10699×

body

valid