Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(* (+ 0.99229 (* x 0.04481)) x)
16.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(+ 0.99229 (* x 0.04481))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 2.30753 (* x 0.27061))
34.0ms	(+ 0.99229 (* x 0.04481))
61.0ms	(* (+ 0.99229 (* x 0.04481)) x)
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	380	619
1	1452	570
2	5001	568

prune182.0ms

Filtered

85 candidates to 63 candidates (74.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(* (+ 0.99229 (* x 0.04481)) x)
3.3b	(log (exp (* (+ 0.99229 (* x 0.04481)) x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(+ 0.99229 (* x 0.04481))
9.0ms	(* (+ 0.99229 (* x 0.04481)) x)
2.0ms	(log (exp (* (+ 0.99229 (* x 0.04481)) x)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 2.30753 (* x 0.27061))
34.0ms	(+ 0.99229 (* x 0.04481))
62.0ms	(* (+ 0.99229 (* x 0.04481)) x)
60.0ms	(log (exp (* (+ 0.99229 (* x 0.04481)) x)))

simplify96.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	242	321
1	930	278
2	4350	278
3	5001	278

prune167.0ms

Filtered

69 candidates to 48 candidates (69.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 2.30753 (* x 0.27061)))
0.8b	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
3.0b	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.7b	(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
41×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
40×	`cbrt-div`
38×	`times-frac`
30×	`associate-r`
22×	`flip3-+` `flip-+`
20×	`add-exp-log` `frac-times`
16×	`pow1`
14×	`associate-*l/`
11×	`add-cbrt-cube`
7×	`pow1/3` `associate-r/` `associate-l*` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`swap-sqr` `associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num`

Counts

4 → 167

Calls

4 calls:

2.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
17.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
8.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
42.0ms	(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series486.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
135.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
177.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
55.0ms	(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify116.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	996	2836
1	4483	2622
2	5002	2519

prune518.0ms

Filtered

179 candidates to 132 candidates (73.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10

end0.0ms

sample339.0ms

Algorithm

intervals

Results

248.0ms

8000×

body

valid