Details

Time bar (total: 3.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms343×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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
(/ (- y x) z)
12.0ms
(+ x (/ (- y x) z))

series48.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230286
1705273
23068273
35001273

prune122.0ms

Filtered
64 candidates to 47 candidates (73.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite120.0ms

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:
24.0ms
(- (/ y z) (/ x z))
59.0ms
(+ x (- (/ y z) (/ x z)))

series43.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- (/ y z) (/ x z))
22.0ms
(+ x (- (/ y z) (/ x z)))

simplify104.0ms

Algorithm
egg-herbie
Counts
404 → 404
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
010956985
126265362
250014523

prune719.0ms

Filtered
404 candidates to 196 candidates (48.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- y x))
0.0b
(+ x (/ 1 (/ z (- y x))))
0.5b
(/ 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:
5.0ms
(/ z (- y x))
28.0ms
(+ x (/ 1 (/ z (- y x))))
10.0ms
(/ 1 (/ z (- y x)))

series82.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ z (- y x))
20.0ms
(+ x (/ 1 (/ z (- y x))))
34.0ms
(/ 1 (/ z (- y x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
05051167
12216936
25002922

prune256.0ms

Filtered
176 candidates to 95 candidates (54.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
388×*-un-lft-identity
386×add-sqr-sqrt
294×add-cube-cbrt
47×add-exp-log
46×distribute-lft-out-- difference-of-squares
38×div-inv
34×div-exp
31×associate-/r/
26×associate-/r*
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
3×expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 401
Calls
3 calls:
6.0ms
(/ 1 (- y x))
87.0ms
(+ x (/ (/ 1 z) (/ 1 (- y x))))
17.0ms
(/ (/ 1 z) (/ 1 (- y x)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- y x))
26.0ms
(+ x (/ (/ 1 z) (/ 1 (- y x))))
32.0ms
(/ (/ 1 z) (/ 1 (- y x)))

simplify74.0ms

Algorithm
egg-herbie
Counts
410 → 410
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016204229
150013650

prune532.0ms

Filtered
410 candidates to 177 candidates (43.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample400.0ms

Algorithm
intervals
Results
202.0ms10169×body80valid