Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

342×

body

valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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))
8.0ms	(* x (+ 0.253 (* x 0.12)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ 0.253 (* x 0.12))
66.0ms	(* x (+ 0.253 (* x 0.12)))

simplify116.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (27.0ms)

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

prune102.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (pow (+ 0.253 (* x 0.12)) 1))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
14.0ms	(* x (pow (+ 0.253 (* x 0.12)) 1))

series99.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ 0.253 (* x 0.12))
66.0ms	(* x (pow (+ 0.253 (* x 0.12)) 1))

simplify35.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	196	219
1	914	189
2	5001	172

prune122.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12)))) x) (pow (cbrt (+ 0.253 (* x 0.12))) 1))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
18×	`cbrt-div` `associate-*l/` `prod-exp`
12×	`cbrt-prod`
11×	`add-cbrt-cube`
10×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`flip3-+` `flip-+`
6×	`unpow-prod-down` `pow-prod-down` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow1/3` `pow-exp`
2×	`associate-*r/`
1×	`associate-l` `*-commutative` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

93.0ms	(* (* (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12)))) x) (pow (cbrt (+ 0.253 (* x 0.12))) 1))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12)))) x) (pow (cbrt (+ 0.253 (* x 0.12))) 1))
120.0ms	(cbrt (+ 0.253 (* x 0.12)))
122.0ms	(cbrt (+ 0.253 (* x 0.12)))
120.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify64.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	492	1223
1	2022	1047
2	5001	894

prune340.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (- 0.253 (* x 0.12)))
1.2b	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`difference-of-squares`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (- 0.253 (* x 0.12)))
2.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series608.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (+ 0.253 (* x 0.12)))
118.0ms	(cbrt (+ 0.253 (* x 0.12)))
127.0ms	(cbrt (- 0.253 (* x 0.12)))
238.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify56.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	540	848
1	1973	806
2	5001	786

prune382.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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	15	5
1	15	5

end0.0ms

sample318.0ms

Algorithm

intervals

Results

202.0ms

10709×

body

valid