Details

Time bar (total: 2.2s)

sample25.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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 flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
2 → 39
Calls
2 calls:
11.0ms
(- (* a a) (* b b))
21.0ms
(/ (- (* a a) (* b b)) (* a a))

series69.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- (* a a) (* b b))
43.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify165.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (158.0ms)

IterNodesCost
0206285
1933242
24682242
35001241

prune95.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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×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 → 130
Calls
3 calls:
17.0ms
(/ (+ a b) a)
51.0ms
(* (/ (+ a b) a) (/ (- a b) a))
15.0ms
(/ (- a b) a)

series102.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (+ a b) a)
55.0ms
(* (/ (+ a b) a) (/ (- a b) a))
27.0ms
(/ (- a b) a)

simplify65.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0467819
12446744
25001742

prune292.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
19×add-exp-log associate-*r* add-cbrt-cube
7×associate-/l/ distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r* associate-/l*
5×pow1
4×frac-times flip3-+ associate-*l* associate-*l/ prod-exp cbrt-unprod flip-+
3×div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num unswap-sqr
1×flip3-- div-sub pow-prod-down *-commutative flip-- distribute-lft-out
Counts
3 → 109
Calls
3 calls:
41.0ms
(* (+ a b) (/ (- a b) a))
21.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
17.0ms
(/ (- a b) a)

series130.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* (+ a b) (/ (- a b) a))
55.0ms
(/ (* (+ a b) (/ (- a b) a)) a)
26.0ms
(/ (- a b) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0414683
12357605
25001604

prune241.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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
0117
1117

end0.0ms

sample657.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid
89.0ms8092×pre80false
86.0ms8000×pre80true