Details

Time bar (total: 4.6s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune1.0ms

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))

rewrite65.0ms

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))
49.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- x 1.0))

series187.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ x (+ x 1.0))
118.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
30.0ms
(/ 1.0 (- x 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0400551
11470525
25001521

prune243.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)))

rewrite206.0ms

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))
69.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
34.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
34.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1.0 (- x 1.0))
94.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
51.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
38.0ms
(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify165.0ms

Algorithm
egg-herbie
Counts
663 → 663
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0178514156
1500211143

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
710×*-un-lft-identity
641×times-frac
547×add-sqr-sqrt
398×add-cube-cbrt
378×prod-diff
92×associate-/r/
84×distribute-lft-out
68×difference-of-squares
67×distribute-lft-out--
46×div-inv
39×associate-*r*
27×flip3-+ flip-+
24×swap-sqr
23×add-exp-log add-cbrt-cube
22×flip3-- associate-*l* flip--
21×fma-neg
13×pow1
6×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp unswap-sqr
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×frac-times associate-*l/ associate-/l*
2×associate-*r/ pow-prod-down *-commutative
1×pow2 sub-neg frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up frac-sub
Counts
4 → 595
Calls
4 calls:
70.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
31.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
24.0ms
(* (+ x 1.0) (/ 1.0 (- x 1.0)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
45.0ms
(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
54.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
53.0ms
(* (+ x 1.0) (/ 1.0 (- x 1.0)))

simplify161.0ms

Algorithm
egg-herbie
Counts
607 → 607
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0166813789
1500110839

prune1.3s

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

sample293.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid