Details

Time bar (total: 6.1s)

sample22.0ms

Algorithm
intervals
Results
11.0ms318×body80valid

simplify18.0ms

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

prune4.0ms

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)

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (/ (- y x) z))
7.0ms
(/ (- y x) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune308.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite115.0ms

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:
22.0ms
(- (/ y z) (/ x z))
57.0ms
(+ x (- (/ y z) (/ x z)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- (/ y z) (/ x z))
6.0ms
(+ x (- (/ y z) (/ x z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
404 → 404
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
010956985
126265362
250014523

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

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)))

rewrite51.0ms

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:
27.0ms
(+ x (/ 1 (/ z (- y x))))
5.0ms
(/ z (- y x))
11.0ms
(/ 1 (/ z (- y x)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ x (/ 1 (/ z (- y x))))
8.0ms
(/ z (- y x))
8.0ms
(/ 1 (/ z (- y x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
05051167
12216936
25002922

prune654.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ y z)) (cbrt (/ y z)))
11.0b
(cbrt (/ y z))
11.0b
(cbrt (/ y z))
11.0b
(cbrt (/ y z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
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 → 152
Calls
4 calls:
19.0ms
(* (cbrt (/ y z)) (cbrt (/ y z)))
1.0ms
(cbrt (/ y z))
1.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series57.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (cbrt (/ y z)) (cbrt (/ y z)))
12.0ms
(cbrt (/ y z))
12.0ms
(cbrt (/ y z))
14.0ms
(cbrt (/ y z))

simplify73.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
02671139
19171091
235901046
350011022

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes207.0ms

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

sample564.0ms

Algorithm
intervals
Results
361.0ms10142×body80valid