Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

342×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	4

prune2.0ms

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)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

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

series97.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 0.253 (* x 0.12))
66.0ms	(* x (+ 0.253 (* x 0.12)))

simplify108.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	173
1	767	154
2	4026	154
3	5002	154

prune84.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-l` `prod-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-prod-down` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

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

series96.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 0.253 (* x 0.12))
65.0ms	(* x (pow (+ 0.253 (* x 0.12)) 1))

simplify31.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	187	209
1	875	190
2	5002	186

prune98.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
18×	`associate-*l/`
16×	`cbrt-div`
13×	`pow1` `add-exp-log`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
8×	`flip3-+` `add-cbrt-cube` `flip-+`
6×	`unpow-prod-down` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `add-log-exp`
3×	`pow1/3`
2×	`associate-*r/` `sqr-pow`
1×	`associate-l` `*-commutative`

Counts

4 → 77

Calls

4 calls:

94.0ms	(* (* (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12)))) x) (cbrt (pow (+ 0.253 (* x 0.12)) 1)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (pow (+ 0.253 (* x 0.12)) 1))

series444.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12)))) x) (cbrt (pow (+ 0.253 (* x 0.12)) 1)))
122.0ms	(cbrt (+ 0.253 (* x 0.12)))
128.0ms	(cbrt (+ 0.253 (* x 0.12)))
126.0ms	(cbrt (pow (+ 0.253 (* x 0.12)) 1))

simplify59.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	463	1128
1	1976	952
2	5002	825

prune338.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down`
2×	`flip3--` `flip--`
1×	`flip3-+` `flip-+` `difference-of-squares` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

3.0ms	(cbrt (pow (+ 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 0.253) (* (* x 0.12) (* x 0.12))))

series614.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (pow (+ 0.253 (* x 0.12)) 1))
126.0ms	(cbrt (+ 0.253 (* x 0.12)))
123.0ms	(cbrt (- 0.253 (* x 0.12)))
244.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify66.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	550	827
1	1969	792
2	5002	696

prune357.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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

sample305.0ms

Algorithm

intervals

Results

197.0ms

10709×

body

valid