Details

Time bar (total: 3.6s)

sample16.0ms

Algorithm
intervals
Results
6.0ms318×body80valid

simplify19.0ms

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)

rewrite25.0ms

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:
15.0ms
(+ x (/ (- y x) z))
8.0ms
(/ (- y x) z)

series49.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ x (/ (- y x) z))
27.0ms
(/ (- y x) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune126.0ms

Pruning

5 alts after pruning (5 fresh and 0 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))
72.0ms
(- (+ x (/ y z)) (/ x z))

series42.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ x (/ y z))
22.0ms
(- (+ x (/ y z)) (/ x z))

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04521584
114671108
25002997

prune126.0ms

Pruning

5 alts after pruning (4 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))
0.3b
(/ 1 (/ z (- y x)))

rewrite52.0ms

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:
30.0ms
(+ x (/ 1 (/ z (- y x))))
5.0ms
(/ z (- y x))
10.0ms
(/ 1 (/ z (- y x)))

series83.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ x (/ 1 (/ z (- y x))))
31.0ms
(/ z (- y x))
32.0ms
(/ 1 (/ z (- y x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
05051167
12216936
25002922

prune248.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 (/ z (- y x)))) (cbrt (/ 1 (/ z (- y x)))))
3.8b
(cbrt (/ 1 (/ z (- y x))))
3.8b
(cbrt (/ 1 (/ z (- y x))))
3.8b
(cbrt (/ 1 (/ z (- y x))))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
900×times-frac
621×add-sqr-sqrt
581×*-un-lft-identity
576×cbrt-prod
375×add-cube-cbrt
91×swap-sqr
81×distribute-lft-out--
71×associate-*r* associate-*l*
63×difference-of-squares
49×associate-/r/
36×unswap-sqr
30×div-inv
21×flip3-- flip--
11×pow1
9×pow1/3
7×cbrt-div
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 529
Calls
4 calls:
126.0ms
(* (cbrt (/ 1 (/ z (- y x)))) (cbrt (/ 1 (/ z (- y x)))))
7.0ms
(cbrt (/ 1 (/ z (- y x))))
7.0ms
(cbrt (/ 1 (/ z (- y x))))
7.0ms
(cbrt (/ 1 (/ z (- y x))))

series675.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (/ 1 (/ z (- y x)))) (cbrt (/ 1 (/ z (- y x)))))
164.0ms
(cbrt (/ 1 (/ z (- y x))))
170.0ms
(cbrt (/ 1 (/ z (- y x))))
166.0ms
(cbrt (/ 1 (/ z (- y x))))

simplify135.0ms

Algorithm
egg-herbie
Counts
541 → 541
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
09327846
138537417
250016570

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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
084
184

end0.0ms

sample410.0ms

Algorithm
intervals
Results
208.0ms10142×body80valid