Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	371×	body	80	valid
5.0ms	147×	body	80	nan

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	7
1	53	5
2	106	5
3	269	5
4	904	5
5	3976	5
6	5001	5

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
3.0b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
14×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
7×	`associate-r`
6×	`prod-exp`
4×	`unpow-prod-down` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `sum-log` `log1p-expm1-u` `unswap-sqr`
2×	`cbrt-undiv` `pow-to-exp` `flip3-+` `pow-exp` `associate-/r/` `cbrt-unprod` `flip-+` `sqr-pow`
1×	`+-commutative` `associate-+l+` `frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

3 → 72

Calls

3 calls:

6.0ms	(* a (pow k m))
10.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
14.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* a (pow k m))
24.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
114.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify56.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	419	575
1	2040	495
2	5002	476

prune226.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
3.0b	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
30×	`prod-exp`
16×	`div-exp`
13×	`add-cbrt-cube`
11×	`pow-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow-to-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `pow1/3` `associate-/r*` `cbrt-unprod`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
0.0ms	(cbrt k)
22.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series915.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt k)
176.0ms	(cbrt k)
182.0ms	(cbrt k)
378.0ms	(/ (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify66.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	514	921
1	2446	788
2	5001	734

prune303.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
2.6b	(* (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (/ 2 (* (fma k k (fma k 10.0 1.0)) 2)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

214×	`add-exp-log`
154×	`prod-exp`
40×	`add-cbrt-cube`
33×	`pow-exp`
32×	`div-exp`
24×	`pow-to-exp`
21×	`cbrt-unprod`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3`
1×	`associate-r/` `associate-l` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 116

Calls

4 calls:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
1.0ms	(cbrt k)
39.0ms	(* (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (/ 2 (* (fma k k (fma k 10.0 1.0)) 2)))

series938.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt k)
183.0ms	(cbrt k)
183.0ms	(cbrt k)
387.0ms	(* (* (* a (pow (* (cbrt k) (cbrt k)) m)) (pow (cbrt k) m)) (/ 2 (* (fma k k (fma k 10.0 1.0)) 2)))

simplify88.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	640	1527
1	3059	1222
2	5002	1094

prune308.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
12.9b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
12.9b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `sqrt-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `flip-+` `hypot-def`

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
11.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
12.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series465.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt k)
185.0ms	(cbrt k)
45.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
54.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify72.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	188	398
1	635	378
2	2448	366
3	5002	362

prune322.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

98.5% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 2.1b

bsearch52.0ms

Steps

Iters	Range		Point
6	3.2141270054822196e+37	2.3785453177033023e+38	1.8029813469456922e+38

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	40
1	59	40
2	59	40

end0.0ms

sample1.2s

Algorithm

intervals

Results

677.0ms	11895×	body	80	valid
132.0ms	4121×	body	80	nan