Details

Time bar (total: 2.2s)

sample18.0ms

Algorithm
intervals
Results
8.0ms326×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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) z)
0.0b
(+ x (/ (- 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:
6.0ms
(/ (- y x) z)
8.0ms
(+ x (/ (- y x) z))

series53.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- y x) z)
22.0ms
(+ x (/ (- y x) z))

simplify67.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune104.0ms

Filtered
64 candidates to 47 candidates (73.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New60464
Fresh000
Picked011
Done000
Total60565

Merged error: 0b

Counts
65 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- y x))
0.0b
(+ x (/ 1 (/ z (- y x))))
0.7b
(/ 1 (/ z (- y x)))

rewrite44.0ms

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:
5.0ms
(/ z (- y x))
18.0ms
(+ x (/ 1 (/ z (- y x))))
13.0ms
(/ 1 (/ z (- y x)))

series83.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ z (- y x))
24.0ms
(+ x (/ 1 (/ z (- y x))))
32.0ms
(/ 1 (/ z (- y x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05051167
12216936
25002922

prune194.0ms

Filtered
176 candidates to 94 candidates (53.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh033
Picked011
Done011
Total1765181

Merged error: 0b

Counts
181 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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)))
13.0ms
(* (- y x) (/ 1 z))

series46.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ x (* (- y x) (/ 1 z)))
25.0ms
(* (- y x) (/ 1 z))

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0306322
11269279
25002264

prune120.0ms

Filtered
66 candidates to 47 candidates (71.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done022
Total66571

Merged error: 0b

Counts
71 → 5

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)
20.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
5.0ms
(sqrt (/ (- y x) z))
5.0ms
(sqrt (/ (- y x) z))

series218.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (- y x) z)
73.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
62.0ms
(sqrt (/ (- y x) z))
59.0ms
(sqrt (/ (- y x) z))

simplify68.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
03951404
118931316
250021295

prune397.0ms

Filtered
231 candidates to 148 candidates (64.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2310231
Fresh011
Picked011
Done033
Total2315236

Merged error: 0b

Counts
236 → 5

regimes80.0ms

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
073
173

end0.0ms

sample486.0ms

Algorithm
intervals
Results
261.0ms10132×body80valid