Details

Time bar (total: 2.1s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(/ 1.0 (- x 1.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
38×times-frac
35×add-sqr-sqrt
21×add-cube-cbrt fma-def
9×distribute-lft-out--
7×distribute-lft-out difference-of-squares
5×associate-/r*
4×add-exp-log associate-/r/ add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv
1×cbrt-undiv +-commutative frac-2neg flip3-+ div-exp frac-add clear-num sum-log flip-+
Counts
2 → 79
Calls
2 calls:
24.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series156.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
30.0ms
(/ 1.0 (- x 1.0))

simplify173.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0300376
11054358
24738354
35001354

prune171.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-exp-log associate-/r* add-cbrt-cube difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 45
Calls
2 calls:
1.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
6.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series190.0ms

Counts
2 → 6
Calls
2 calls:
136.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
53.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0254418
11029380
25002376

prune127.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (cbrt (fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))) (cbrt (fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0))))) (cbrt (fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
0.7b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
23×pow1
15×add-exp-log
12×associate-/r* difference-of-squares
11×add-cbrt-cube
9×pow1/3 pow-prod-up associate-/l*
6×pow-plus associate-*r* associate-/r/
5×pow-prod-down
4×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-exp prod-exp clear-num pow-sqr flip-- cbrt-unprod div-inv
2×pow2 unswap-sqr
1×associate-*l* pow3 *-commutative
Counts
4 → 142
Calls
4 calls:
8.0ms
(* (* (cbrt (fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))) (cbrt (fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0))))) (cbrt (fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))))
6.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
9.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
6.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (* (cbrt (fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))) (cbrt (fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0))))) (cbrt (fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))))
55.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
56.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
51.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
03441728
115311445
250011282

prune471.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108
1108

end0.0ms

sample278.0ms

Algorithm
intervals
Results
186.0ms8000×body80valid