Details

Time bar (total: 2.3s)

sample29.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms256×pre80true
3.0ms297×pre80false

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1487
21107
32847
415807
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* a a) (* b b))
13.9b
(/ (- (* a a) (* b b)) (* a a))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l* add-log-exp
3×difference-of-squares
2×pow1 cbrt-undiv expm1-log1p-u flip3-- div-exp flip-- log1p-expm1-u associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub prod-diff prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
2 → 45
Calls
2 calls:
8.0ms
(- (* a a) (* b b))
21.0ms
(/ (- (* a a) (* b b)) (* a a))

series74.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- (* a a) (* b b))
47.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify161.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0217310
1998263
24926260
35001260

prune120.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(* (/ (+ a b) a) (/ (- a b) a))
0.0b
(/ (- a b) a)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
65×add-sqr-sqrt
58×times-frac
39×add-cube-cbrt
19×add-exp-log associate-*r* add-cbrt-cube
16×associate-*l*
9×associate-/l*
7×distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times flip3-- flip3-+ div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
3 → 136
Calls
3 calls:
17.0ms
(/ (+ a b) a)
50.0ms
(* (/ (+ a b) a) (/ (- a b) a))
17.0ms
(/ (- a b) a)

series102.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (+ a b) a)
52.0ms
(* (/ (+ a b) a) (/ (- a b) a))
30.0ms
(/ (- a b) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0477842
12481767
25001764

prune323.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ 1 (/ b a)) (/ (- a b) a))
0.0b
(/ (- a b) a)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-*l*
3×associate-/r*
2×cbrt-undiv expm1-log1p-u frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- distribute-lft-out
Counts
2 → 85
Calls
2 calls:
59.0ms
(* (+ 1 (/ b a)) (/ (- a b) a))
17.0ms
(/ (- a b) a)

series81.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (+ 1 (/ b a)) (/ (- a b) a))
30.0ms
(/ (- a b) a)

simplify58.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0344543
11955492
25001489

prune215.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes92.0ms

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
0147
1147

end0.0ms

sample670.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid
90.0ms8000×pre80true
86.0ms8092×pre80false