Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	42	8
2	50	8
3	50	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

localize10.0ms

Local error

Found 4 expressions with local error:

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

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-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(+ 0.99229 (* x 0.04481))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series192.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 2.30753 (* x 0.27061))
32.0ms	(+ 0.99229 (* x 0.04481))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
61.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	401	622
1	1709	574
2	5001	574

prune192.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(+ 0.99229 (* x 0.04481))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
2.0ms	(log (exp (* x (+ 0.99229 (* x 0.04481)))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 2.30753 (* x 0.27061))
32.0ms	(+ 0.99229 (* x 0.04481))
65.0ms	(* x (+ 0.99229 (* x 0.04481)))
64.0ms	(log (exp (* x (+ 0.99229 (* x 0.04481)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	271	321
1	1104	284
2	5002	284

prune179.0ms

Filtered

72 candidates to 51 candidates (70.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))))
3.1b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061))))
14.3b	(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
62×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `*-un-lft-identity`
49×	`cbrt-prod`
32×	`cbrt-div`
30×	`associate-/r*`
20×	`add-exp-log`
17×	`flip3-+` `flip-+`
11×	`pow1` `add-cbrt-cube`
10×	`associate-/l/`
8×	`frac-times`
7×	`cbrt-undiv` `pow1/3` `div-exp` `associate-/r/`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`associate-r/` `associate-l/` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-2neg` `pow-prod-down` `clear-num` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `*-commutative`

Counts

4 → 180

Calls

4 calls:

2.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
15.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
12.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061))))
18.0ms	(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061)))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
146.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
187.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061))))
60.0ms	(/ (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (cbrt (+ 2.30753 (* x 0.27061)))))

simplify133.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	1027	3149
1	4673	2931
2	5002	2866

prune660.0ms

Filtered

192 candidates to 165 candidates (85.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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