Details

Time bar (total: 3.3s)

sample19.0ms

Algorithm
intervals
Results
10.0ms318×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)

rewrite22.0ms

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))
8.0ms
(/ (- y x) z)

series52.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ 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

prune124.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
487×times-frac
389×*-un-lft-identity
388×add-sqr-sqrt
376×add-cube-cbrt
338×prod-diff
171×associate-+r+
55×div-inv
13×fma-neg
9×add-log-exp
5×distribute-lft-out--
4×difference-of-squares
3×fma-def
2×pow1 add-exp-log expm1-log1p-u sub-neg diff-log sum-log add-cbrt-cube log1p-expm1-u distribute-lft-out
1×+-commutative associate-+r- flip3-- distribute-rgt-out-- flip3-+ frac-sub flip-- flip-+ sub-div
Counts
2 → 398
Calls
2 calls:
53.0ms
(+ x (- (/ y z) (/ x z)))
24.0ms
(- (/ y z) (/ x z))

series49.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ x (- (/ y z) (/ x z)))
22.0ms
(- (/ y z) (/ x z))

simplify100.0ms

Algorithm
egg-herbie
Counts
404 → 404
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
010956985
126265362
250024523

prune787.0ms

Pruning

3 alts after pruning (2 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))
0.5b
(/ 1 (/ z (- y x)))

rewrite48.0ms

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:
26.0ms
(+ x (/ 1 (/ z (- y x))))
5.0ms
(/ z (- y x))
9.0ms
(/ 1 (/ z (- y x)))

series83.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ x (/ 1 (/ z (- y x))))
28.0ms
(/ z (- y x))
35.0ms
(/ 1 (/ z (- y x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
05051167
12216936
25002922

prune257.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(pow (/ (cbrt x) (cbrt z)) 3)
52.6b
(fma (- (/ x (cbrt z))) (/ 1 (* (cbrt z) (cbrt z))) (* (/ x (cbrt z)) (/ 1 (* (cbrt z) (cbrt z)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
72×times-frac
57×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
40×unpow-prod-down cube-prod
7×add-exp-log
5×pow1 add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×pow1/3 pow-exp div-inv rem-cube-cbrt
1×cbrt-undiv cube-div cube-mult pow-to-exp pow-pow unpow3 div-exp fma-udef sqr-pow
Counts
4 → 138
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
8.0ms
(pow (/ (cbrt x) (cbrt z)) 3)
0.0ms
(fma (- (/ x (cbrt z))) (/ 1 (* (cbrt z) (cbrt z))) (* (/ x (cbrt z)) (/ 1 (* (cbrt z) (cbrt z)))))

series549.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt z)
178.0ms
(cbrt z)
76.0ms
(pow (/ (cbrt x) (cbrt z)) 3)
122.0ms
(fma (- (/ x (cbrt z))) (/ 1 (* (cbrt z) (cbrt z))) (* (/ x (cbrt z)) (/ 1 (* (cbrt z) (cbrt z)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06431291
13026928
25001879

prune372.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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

sample401.0ms

Algorithm
intervals
Results
204.0ms10066×body80valid