Details

Time bar (total: 4.1s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms256×pre80true
2.0ms218×pre80false

simplify48.0ms

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: 15.6b

localize7.0ms

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 flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 26
Calls
1 calls:
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify134.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0172208
1779170
24024170
35001167

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 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)
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×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:
6.0ms
(/ (- a b) a)
9.0ms
(/ (+ a b) a)
16.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series115.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (- a b) a)
26.0ms
(/ (+ a b) a)
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify60.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0467819
12446744
25001742

prune483.0ms

Pruning

2 alts after pruning (2 fresh and 0 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×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 → 305
Calls
4 calls:
6.0ms
(/ a (- a b))
6.0ms
(/ (+ a b) a)
37.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
12.0ms
(/ 1 (/ a (- a b)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ a (- a b))
22.0ms
(/ (+ a b) a)
61.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
35.0ms
(/ 1 (/ a (- a b)))

simplify51.0ms

Algorithm
egg-herbie
Counts
317 → 317
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010362354
150022076

prune646.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
1017×times-frac
748×*-un-lft-identity
536×add-sqr-sqrt
402×add-cube-cbrt
106×distribute-lft-out
96×associate-/l*
67×distribute-lft-out-- difference-of-squares
49×associate-/r/
29×associate-/r*
28×div-inv
22×flip3-- flip--
19×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
3×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
3 → 539
Calls
3 calls:
30.0ms
(/ (/ (+ a b) (/ a (- a b))) a)
5.0ms
(/ a (- a b))
12.0ms
(/ (+ a b) (/ a (- a b)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (/ (+ a b) (/ a (- a b))) a)
47.0ms
(/ a (- a b))
57.0ms
(/ (+ a b) (/ a (- a b)))

simplify90.0ms

Algorithm
egg-herbie
Counts
548 → 548
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015406237
150025979

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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

sample602.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid
93.0ms8000×pre80true
93.0ms7908×pre80false