Details

sample15.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize4.0ms

Local error

Found 1 expressions with local error:

14.5b

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

rewrite7.0ms

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` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

6.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	171	215
1	589	196
2	1979	191
3	5002	186

prune68.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

2.0b	(/ x (fma (- 1.0) 1.0 (pow x 4)))
18.8b	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `associate-r`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `difference-of-squares`

Counts

2 → 78

Calls

2 calls:

2.0ms	(/ x (fma (- 1.0) 1.0 (pow x 4)))
23.0ms	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

series279.0ms

Counts

2 → 6

Calls

2 calls:

164.0ms	(/ x (fma (- 1.0) 1.0 (pow x 4)))
114.0ms	(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	446	816
1	2125	716
2	5001	706

prune188.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

2.0b	(/ x (fma (- 1.0) 1.0 (pow x 4)))
21.0b	(/ (pow x 3) (fma (- 1.0) 1.0 (pow x 4)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`associate-/l*`
12×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log`
6×	`associate-/r*` `add-cbrt-cube`
4×	`cube-mult` `unpow3` `div-exp` `sqr-pow`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-to-exp` `pow-exp`

Counts

2 → 96

Calls

2 calls:

2.0ms	(/ x (fma (- 1.0) 1.0 (pow x 4)))
5.0ms	(/ (pow x 3) (fma (- 1.0) 1.0 (pow x 4)))

series339.0ms

Counts

2 → 6

Calls

2 calls:

162.0ms	(/ x (fma (- 1.0) 1.0 (pow x 4)))
177.0ms	(/ (pow x 3) (fma (- 1.0) 1.0 (pow x 4)))

simplify52.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	336	883
1	1524	844
2	5002	844

prune225.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
0.1b	(/ 1.0 (pow x 5))
0.2b	(/ 1.0 (pow x 3))
19.6b	(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

rewrite654.0ms

Algorithm

rewrite-expression-head

Rules

3607×	`times-frac`
2350×	`add-sqr-sqrt`
2310×	`*-un-lft-identity`
2288×	`add-cube-cbrt`
2000×	`prod-diff`
1212×	`unpow-prod-down`
1002×	`associate-+r+`
466×	`cube-prod`
410×	`sqr-pow`
154×	`cube-mult` `unpow3`
138×	`div-inv`
25×	`fma-neg`
20×	`difference-of-squares`
19×	`associate-/r*`
14×	`add-exp-log`
13×	`fma-def`
11×	`add-log-exp`
8×	`add-cbrt-cube` `distribute-lft-out--`
6×	`div-exp` `associate-/l*`
5×	`distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-add`
2×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip-+`

Counts

4 → 2217

Calls

4 calls:

278.0ms	(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
4.0ms	(/ 1.0 (pow x 5))
5.0ms	(/ 1.0 (pow x 3))
99.0ms	(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
52.0ms	(/ 1.0 (pow x 5))
36.0ms	(/ 1.0 (pow x 3))
133.0ms	(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify455.0ms

Algorithm

egg-herbie

Counts

2229 → 2229

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	4090	48855
1	5002	42336

prune4.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.9b

bsearch65.0ms

Steps

Iters	Range		Point
10	2.1112891761060846e-05	363928.4733812492	462.8155035723357
6	-5726.9977552392365	-466.9609004234566	-1049.3432188499771

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	19
1	40	19
2	43	19
3	43	19

end0.0ms

sample387.0ms

Algorithm

intervals

Results

294.0ms

8000×

body

valid