Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

355×

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

prune5.0ms

Pruning

2 alts after pruning (2 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)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify69.0ms

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

prune30.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ 0.253 (* x 0.12))
66.0ms	(* x (+ 0.253 (* x 0.12)))

simplify112.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	175	184
1	809	150
2	4290	148
3	5001	148

prune97.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.253 (* x 0.12))
0.1b	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
0.2b	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
9×	`prod-diff`
8×	`pow1`
6×	`times-frac` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r/` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `associate-/r*`
2×	`pow-prod-down` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 110

Calls

4 calls:

2.0ms	(- 0.253 (* x 0.12))
15.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
8.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
9.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- 0.253 (* x 0.12))
67.0ms	(* x (/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12))))
107.0ms	(* (fma 0.12 x 0.253) (- 0.253 (* x 0.12)))
34.0ms	(/ (* (fma 0.12 x 0.253) (- 0.253 (* x 0.12))) (- 0.253 (* x 0.12)))

simplify82.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	379	867
1	2372	588
2	5002	588

prune268.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 0.253)
1.0b	(cbrt 0.253)
1.0b	(cbrt 0.253)
59.4b	(fma (- 0.12) x (* 0.12 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

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

series53.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 0.253)
0.0ms	(cbrt 0.253)
0.0ms	(cbrt 0.253)
52.0ms	(fma (- 0.12) x (* 0.12 x))

simplify76.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (73.0ms)

Iter	Nodes	Cost
0	49	200
1	101	184
2	381	175
3	1864	155
4	5002	130

prune219.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	20
1	29	20
2	29	20

end0.0ms

sample310.0ms

Algorithm

intervals

Results

195.0ms

10710×

body

valid