Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize4.0ms

Local error

Found 1 expressions with local error:

14.0b

(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/ x (+ (* x x) 1.0))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(/ x (+ (* x x) 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	165	210
1	555	195
2	1839	192
3	5001	192

prune57.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))))
14.5b	(cbrt (+ (* x x) 1.0))
14.5b	(cbrt (+ (* x x) 1.0))
14.5b	(cbrt (+ (* x x) 1.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
43×	`add-sqr-sqrt`
33×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-r`
22×	`add-cube-cbrt`
21×	`cbrt-prod`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 119

Calls

4 calls:

28.0ms	(* (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))))
4.0ms	(cbrt (+ (* x x) 1.0))
4.0ms	(cbrt (+ (* x x) 1.0))
4.0ms	(cbrt (+ (* x x) 1.0))

series549.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (/ 1 (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (/ x (cbrt (+ (* x x) 1.0))))
164.0ms	(cbrt (+ (* x x) 1.0))
165.0ms	(cbrt (+ (* x x) 1.0))
162.0ms	(cbrt (+ (* x x) 1.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	663	1703
1	3049	1471
2	5001	1333

prune272.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
0.2b	(/ 1 (pow x 5))
0.2b	(/ 1 (pow x 3))
19.2b	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

57×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
22×	`add-exp-log`
19×	`associate-/r*`
12×	`cube-prod` `div-exp`
11×	`add-log-exp`
8×	`frac-sub` `add-cbrt-cube` `sqr-pow`
7×	`associate-*r/` `un-div-inv`
6×	`pow-to-exp` `rec-exp` `1-exp` `frac-add` `pow-exp` `associate-/l*`
4×	`pow1` `cube-mult` `unpow3`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `diff-log` `clear-num` `sum-log` `div-inv` `inv-pow`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 161

Calls

4 calls:

8.0ms	(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
4.0ms	(/ 1 (pow x 5))
5.0ms	(/ 1 (pow x 3))
15.0ms	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
40.0ms	(/ 1 (pow x 5))
35.0ms	(/ 1 (pow x 3))
42.0ms	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

simplify79.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	505	1088
1	2799	894
2	5002	886

prune222.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch54.0ms

Steps

Iters	Range		Point
9	6.164824567421913	3268324.1998729478	460.75227704809595
8	-7469182544.868377	-22559581.538318347	-6272088098.259001

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	12
1	32	12

end0.0ms

sample216.0ms

Algorithm

intervals

Results

135.0ms

8000×

body

valid