Details

Time bar (total: 2.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms319×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

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)

rewrite17.0ms

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:
9.0ms
(+ x (/ (- y x) z))
6.0ms
(/ (- y x) z)

series48.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune99.0ms

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))

rewrite80.0ms

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:
31.0ms
(+ x (- (/ y z) (/ x z)))
17.0ms
(- (/ y z) (/ x z))

series48.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (- (/ y z) (/ x z)))
27.0ms
(- (/ y z) (/ x z))

simplify110.0ms

Algorithm
egg-herbie
Counts
404 → 404
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
010956985
126265362
250024523

prune597.0ms

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 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ 1 z)))
0.3b
(* (- y x) (/ 1 z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*r*
11×add-exp-log add-cube-cbrt times-frac
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp add-log-exp
3×fma-def unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u
1×cbrt-undiv +-commutative rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 60
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ 1 z)))
10.0ms
(* (- y x) (/ 1 z))

series51.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (* (- y x) (/ 1 z)))
29.0ms
(* (- y x) (/ 1 z))

simplify38.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0306322
11269279
25002264

prune101.0ms

Filtered
66 candidates to 48 candidates (72.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh011
Picked011
Done011
Total66369

Merged error: 0b

Counts
69 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y x) z)
0.2b
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
3.3b
(sqrt (/ (- y x) z))
3.3b
(sqrt (/ (- y x) z))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
154×add-sqr-sqrt
140×sqrt-prod
138×*-un-lft-identity
125×times-frac
76×add-cube-cbrt
30×swap-sqr
28×distribute-lft-out--
22×associate-*r* associate-*l* difference-of-squares
21×pow1
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
6×sqrt-div
5×pow-prod-up associate-/l*
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* pow-sqr
2×associate-/l/
1×cbrt-undiv pow2 frac-times flip3-- frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative flip-- cbrt-unprod
Counts
4 → 219
Calls
4 calls:
6.0ms
(/ (- y x) z)
22.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
5.0ms
(sqrt (/ (- y x) z))
6.0ms
(sqrt (/ (- y x) z))

series226.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (- y x) z)
74.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
62.0ms
(sqrt (/ (- y x) z))
65.0ms
(sqrt (/ (- y x) z))

simplify68.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
03951410
120491316
250011295

prune384.0ms

Filtered
231 candidates to 149 candidates (64.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2310231
Fresh000
Picked011
Done022
Total2313234

Merged error: 0b

Counts
234 → 3

regimes48.0ms

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

sample444.0ms

Algorithm
intervals
Results
242.0ms10049×body80valid