Details

Time bar (total: 1.7s)

sample15.0ms

Algorithm
intervals
Results
6.0ms307×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.1b
(/ (* x (+ y z)) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
9.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series63.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
39.0ms
(/ (* x (+ y z)) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune96.0ms

Filtered
52 candidates to 35 candidates (67.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.8b
(/ x (/ z (+ y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ z (+ y z))
49.0ms
(/ x (/ z (+ y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25002832

prune254.0ms

Filtered
129 candidates to 92 candidates (71.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
6.0b
(/ (* x y) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv div-exp
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
7.0ms
(+ (/ (* x y) z) x)
3.0ms
(/ (* x y) z)

series51.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (/ (* x y) z) x)
19.0ms
(/ (* x y) z)

simplify82.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0168160
1736144
23353142
35001142

prune70.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (/ y z)) x)
8.0b
(* x (/ y z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
4.0ms
(+ (* x (/ y z)) x)
7.0ms
(* x (/ y z))

series52.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* x (/ y z)) x)
20.0ms
(* x (/ y z))

simplify113.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0223204
11033187
24624186
35001186

prune80.0ms

Filtered
49 candidates to 32 candidates (65.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

58.4% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.5b

bsearch54.0ms

Steps
ItersRangePoint
11
2.5333093960715805e-91
3.2986477011150946e-70
6.523129526359159e-73
5
-4017596.4979543434
-1366248.310089769
-3224881.2141008736

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample382.0ms

Algorithm
intervals
Results
196.0ms9645×body80valid