Details

Time bar (total: 2.1s)

sample19.0ms

Algorithm
intervals
Results
10.0ms320×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2283
3403
4503
5733
61023
71183
81453
91743
101903
111903

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) z))
0.0b
(/ (- y x) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×fma-def associate-/r*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 58
Calls
2 calls:
12.0ms
(+ x (/ (- y x) z))
9.0ms
(/ (- y x) z)

series54.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ x (/ (- y x) z))
28.0ms
(/ (- y x) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune124.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ z (- y x))))
0.0b
(/ z (- y x))
0.4b
(/ 1 (/ z (- y x)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
107×*-un-lft-identity
104×add-sqr-sqrt
72×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×div-inv
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-def log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 167
Calls
3 calls:
32.0ms
(+ x (/ 1 (/ z (- y x))))
5.0ms
(/ z (- y x))
10.0ms
(/ 1 (/ z (- y x)))

series86.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ x (/ 1 (/ z (- y x))))
33.0ms
(/ z (- y x))
33.0ms
(/ 1 (/ z (- y x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05051167
12216936
25002922

prune248.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x)))
3.9b
(- (* y y) (* x x))
9.0b
(/ (* 1 (- (* y y) (* x x))) z)
19.2b
(/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
43×*-un-lft-identity
25×add-sqr-sqrt add-cube-cbrt
23×add-exp-log
18×add-cbrt-cube
10×div-exp
9×distribute-lft-out
8×associate-/l* add-log-exp
7×cbrt-undiv associate-/r* div-inv
4×pow1 expm1-log1p-u prod-exp log1p-expm1-u
3×fma-def associate-/l/
2×flip3-- frac-2neg flip3-+ 1-exp associate-*r/ clear-num associate-/r/ flip-- cbrt-unprod flip-+
1×+-commutative sub-neg fma-neg diff-log prod-diff sum-log difference-of-squares
Counts
4 → 121
Calls
4 calls:
21.0ms
(+ x (/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x)))
3.0ms
(- (* y y) (* x x))
8.0ms
(/ (* 1 (- (* y y) (* x x))) z)
10.0ms
(/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x))

series185.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ x (/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x)))
31.0ms
(- (* y y) (* x x))
52.0ms
(/ (* 1 (- (* y y) (* x x))) z)
52.0ms
(/ (/ (* 1 (- (* y y) (* x x))) z) (+ y x))

simplify70.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05241133
125161021
250011007

prune264.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y z))
0.0b
(- (+ x (/ y z)) (/ x z))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
52×prod-diff
50×add-sqr-sqrt
45×add-cube-cbrt
37×times-frac
16×distribute-lft-out
9×add-log-exp
4×fma-neg div-inv
3×fma-def
2×pow1 add-exp-log expm1-log1p-u flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out-- difference-of-squares
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 95
Calls
2 calls:
6.0ms
(+ x (/ y z))
71.0ms
(- (+ x (/ y z)) (/ x z))

series41.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ x (/ y z))
22.0ms
(- (+ x (/ y z)) (/ x z))

simplify49.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04521584
114671108
25002997

prune116.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes72.0ms

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
073
173

end0.0ms

sample421.0ms

Algorithm
intervals
Results
210.0ms10114×body80valid