Details

Time bar (total: 3.4s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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 3 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
50×times-frac
45×add-sqr-sqrt
31×add-cube-cbrt
21×fma-def
11×distribute-lft-out
9×associate-/r* distribute-lft-out--
7×add-exp-log add-cbrt-cube difference-of-squares
6×associate-/r/ associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+
1×+-commutative frac-add sum-log
Counts
3 → 114
Calls
3 calls:
5.0ms
(/ x (+ x 1.0))
23.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
8.0ms
(/ 1.0 (- x 1.0))

series184.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ x (+ x 1.0))
122.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms
(/ 1.0 (- x 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0400551
11470525
25001521

prune240.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
0.2b
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
783×*-un-lft-identity
704×times-frac
611×add-sqr-sqrt
429×add-cube-cbrt
378×prod-diff
98×associate-/r/
86×distribute-lft-out--
83×distribute-lft-out
77×difference-of-squares
51×swap-sqr
49×div-inv
39×associate-*r* associate-*l*
30×add-exp-log add-cbrt-cube
25×flip3-- flip3-+ flip-- flip-+
21×fma-neg
18×pow1
9×cbrt-undiv div-exp
8×prod-exp cbrt-unprod unswap-sqr
6×add-log-exp
5×associate-/r*
4×expm1-log1p-u log1p-expm1-u
3×associate-/l*
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
1×sub-neg frac-2neg diff-log clear-num frac-sub
Counts
4 → 651
Calls
4 calls:
5.0ms
(/ 1.0 (- x 1.0))
36.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
17.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
20.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1.0 (- x 1.0))
91.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
47.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
40.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify155.0ms

Algorithm
egg-herbie
Counts
663 → 663
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0178514156
1500211143

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
0.1b
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- (* x x) (* 1.0 1.0))))
0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
4.7b
(* (* (/ 1.0 (- x 1.0)) (/ 1.0 (- (* x x) (* 1.0 1.0)))) (+ x 1.0))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
117×*-un-lft-identity
107×times-frac
97×add-sqr-sqrt
67×add-cube-cbrt
48×add-exp-log add-cbrt-cube
40×associate-*r* associate-*l*
24×swap-sqr
19×distribute-lft-out
18×pow1
17×prod-exp cbrt-unprod
14×associate-/r/
13×cbrt-undiv div-exp
11×frac-times
10×difference-of-squares
8×flip3-+ associate-*l/ flip-+ unswap-sqr
7×associate-*r/ div-inv
5×pow-prod-down
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip-- associate-/l* distribute-lft-out--
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
4 → 230
Calls
4 calls:
17.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
21.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- (* x x) (* 1.0 1.0))))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
16.0ms
(* (* (/ 1.0 (- x 1.0)) (/ 1.0 (- (* x x) (* 1.0 1.0)))) (+ x 1.0))

series221.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
49.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- (* x x) (* 1.0 1.0))))
52.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
72.0ms
(* (* (/ 1.0 (- x 1.0)) (/ 1.0 (- (* x x) (* 1.0 1.0)))) (+ x 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011742246
150021956

prune559.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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
01921
11921

end0.0ms

sample276.0ms

Algorithm
intervals
Results
189.0ms8000×body80valid