Details

sample18.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b	(* (/ 841.0 108.0) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
7.0ms	(* (/ 841.0 108.0) x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	252	227
1	873	207
2	3441	206
3	5001	205

prune103.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b	(* (cbrt (/ 841.0 108.0)) x)
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`add-exp-log` `associate-r` `associate-*l/`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-*r/` `frac-add`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `fma-def` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 168

Calls

4 calls:

35.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
9.0ms	(* (cbrt (/ 841.0 108.0)) x)
33.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
18.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series232.0ms

Counts

4 → 10

Calls

4 calls:

101.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
42.0ms	(* (cbrt (/ 841.0 108.0)) x)
88.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	515	1513
1	1897	1352
2	5001	1264

prune384.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt 841.0) (cbrt 841.0))
1.0b	(* (cbrt 841.0) (cbrt 841.0))
1.6b	(cbrt (/ (* (cbrt 841.0) (cbrt 841.0)) (* (cbrt 108.0) (cbrt 108.0))))
1.6b	(cbrt (/ (* (cbrt 841.0) (cbrt 841.0)) (* (cbrt 108.0) (cbrt 108.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
38×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `cbrt-div` `times-frac` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* (cbrt 841.0) (cbrt 841.0))
6.0ms	(* (cbrt 841.0) (cbrt 841.0))
6.0ms	(cbrt (/ (* (cbrt 841.0) (cbrt 841.0)) (* (cbrt 108.0) (cbrt 108.0))))
6.0ms	(cbrt (/ (* (cbrt 841.0) (cbrt 841.0)) (* (cbrt 108.0) (cbrt 108.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (cbrt 841.0) (cbrt 841.0))
0.0ms	(* (cbrt 841.0) (cbrt 841.0))
0.0ms	(cbrt (/ (* (cbrt 841.0) (cbrt 841.0)) (* (cbrt 108.0) (cbrt 108.0))))
0.0ms	(cbrt (/ (* (cbrt 841.0) (cbrt 841.0)) (* (cbrt 108.0) (cbrt 108.0))))

simplify79.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 4 (71.0ms)

Iter	Nodes	Cost
0	103	840
1	325	778
2	1220	744
3	3012	738
4	5001	720

prune440.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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	11	4
1	11	4

end0.0ms

sample476.0ms

Algorithm

intervals

Results

382.0ms	8007×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid