Details

Time bar (total: 2.6s)

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms256×pre80true
3.0ms218×pre80false

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1487
21107
32847
415807
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize8.0ms

Local error

Found 1 expressions with local error:

15.1b
(/ (- (* a a) (* b b)) (* a a))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
4×times-frac associate-/l*
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×cbrt-undiv div-exp associate-/l/ difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 28
Calls
1 calls:
8.0ms
(/ (- (* a a) (* b b)) (* a a))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify149.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0178219
1823177
24187177
35001175

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:
7.0ms
(/ (- a b) a)
6.0ms
(/ (+ a b) a)
17.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series113.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (- a b) a)
25.0ms
(/ (+ a b) a)
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0477842
12481767
25001764

prune317.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
287×times-frac
221×add-sqr-sqrt
206×*-un-lft-identity
138×add-cube-cbrt
68×associate-*r*
64×add-exp-log
34×add-cbrt-cube
30×div-exp
29×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
16×associate-*l*
14×cbrt-undiv prod-exp
12×div-inv
10×associate-/l* unswap-sqr
8×flip3-- flip--
7×pow1 distribute-lft-out
6×rec-exp 1-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times pow-flip flip3-+ associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 313
Calls
4 calls:
5.0ms
(/ a (- a b))
6.0ms
(/ (+ a b) a)
35.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
9.0ms
(/ 1 (/ a (- a b)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ a (- a b))
21.0ms
(/ (+ a b) a)
62.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
30.0ms
(/ 1 (/ a (- a b)))

simplify50.0ms

Algorithm
egg-herbie
Counts
325 → 325
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010492388
150012111

prune689.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes91.0ms

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
0158
1158

end0.0ms

sample601.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid
96.0ms8000×pre80true
92.0ms7908×pre80false