Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
6.0ms316×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:
8.0ms
(+ x (/ (- y x) z))
6.0ms
(/ (- y x) z)

series47.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (/ (- y x) z))
26.0ms
(/ (- y x) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune98.0ms

Filtered
64 candidates to 47 candidates (73.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New61364
Fresh000
Picked101
Done000
Total62365

Merged error: 0b

Counts
65 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

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:
30.0ms
(+ x (- (/ y z) (/ x z)))
17.0ms
(- (/ y z) (/ x z))

series47.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (- (/ y z) (/ x z)))
26.0ms
(- (/ y z) (/ x z))

simplify109.0ms

Algorithm
egg-herbie
Counts
404 → 404
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
010956985
126265362
250024523

prune605.0ms

Filtered
404 candidates to 196 candidates (48.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4040404
Fresh022
Picked011
Done000
Total4043407

Merged error: 0b

Counts
407 → 3

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)))

rewrite42.0ms

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:
21.0ms
(+ x (/ 1 (/ z (- y x))))
5.0ms
(/ z (- y x))
9.0ms
(/ 1 (/ z (- y x)))

series81.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ x (/ 1 (/ z (- y x))))
30.0ms
(/ z (- y x))
31.0ms
(/ 1 (/ z (- y x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05051167
12216936
25002922

prune193.0ms

Filtered
176 candidates to 95 candidates (54.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh011
Picked011
Done011
Total1763179

Merged error: 0b

Counts
179 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y x) z)
0.0b
(sqrt (+ x (/ (- y x) z)))
0.0b
(sqrt (+ x (/ (- y x) z)))
0.2b
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
50×*-un-lft-identity
34×sqrt-prod
24×add-cube-cbrt
21×pow1
17×times-frac
16×sqrt-div
11×swap-sqr
10×sqrt-pow1 pow1/2
8×add-exp-log flip3-+ add-cbrt-cube flip-+ distribute-lft-out
7×associate-*r* associate-*l*
5×pow-prod-up associate-/l*
4×expm1-log1p-u frac-times hypot-def log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
3×pow-prod-down associate-/r* pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/ associate-/l/
1×cbrt-undiv pow2 flip3-- frac-2neg pow-plus sqrt-unprod div-sub div-exp prod-exp clear-num rem-square-sqrt *-commutative flip-- cbrt-unprod div-inv
Counts
4 → 144
Calls
4 calls:
6.0ms
(/ (- y x) z)
9.0ms
(sqrt (+ x (/ (- y x) z)))
9.0ms
(sqrt (+ x (/ (- y x) z)))
24.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (- y x) z)
129.0ms
(sqrt (+ x (/ (- y x) z)))
138.0ms
(sqrt (+ x (/ (- y x) z)))
22.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0358979
11395883
25002860

prune248.0ms

Filtered
156 candidates to 95 candidates (60.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh000
Picked011
Done022
Total1563159

Merged error: 0b

Counts
159 → 3

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

sample395.0ms

Algorithm
intervals
Results
199.0ms10077×body80valid