Details

Time bar (total: 5.7s)

sample51.0ms

Algorithm
intervals
Results
13.0ms29×body1280valid
9.0ms198×body80valid
9.0ms35×body640valid
3.0ms89×body80nan
2.0ms13×body320valid
1.0ms12×body160valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(exp (* y (log (/ y (+ z y)))))
0.1b
(* y (log (/ y (+ z y))))
9.8b
(log (/ y (+ z y)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
90×log-prod
78×*-un-lft-identity
60×times-frac
48×add-sqr-sqrt
46×add-cube-cbrt
36×distribute-rgt-in distribute-lft-in exp-sum
16×distribute-lft-out
10×associate-/r/
9×add-exp-log
8×pow1 add-log-exp
6×flip3-+ add-cbrt-cube flip-+
5×div-inv
4×associate-*r*
3×associate-*l*
2×rem-log-exp log-pow
1×+-commutative log-div exp-prod exp-to-pow div-exp pow-prod-down prod-exp sum-log *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 142
Calls
4 calls:
67.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
10.0ms
(exp (* y (log (/ y (+ z y)))))
11.0ms
(* y (log (/ y (+ z y))))
4.0ms
(log (/ y (+ z y)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
217.0ms
(exp (* y (log (/ y (+ z y)))))
75.0ms
(* y (log (/ y (+ z y))))
46.0ms
(log (/ y (+ z y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05651245
119241150
250021130

prune303.0ms

Filtered
154 candidates to 87 candidates (56.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.0b
(log (/ (cbrt y) (cbrt (+ z y))))
4.0b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod log-prod
84×*-un-lft-identity times-frac
60×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-exp-log
6×pow1
4×cbrt-div rem-log-exp associate-/r/ add-cbrt-cube add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 140
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt y)
166.0ms
(cbrt y)
69.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
71.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
03101470
17571424
223271392
350011324

prune530.0ms

Filtered
152 candidates to 102 candidates (67.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (fabs (pow (/ y (+ z y)) (/ y 2))) (fabs (pow (/ y (+ z y)) (/ y 2)))) y)
0.0b
(* (fabs (pow (/ y (+ z y)) (/ y 2))) (fabs (pow (/ y (+ z y)) (/ y 2))))
6.6b
(pow (/ y (+ z y)) (/ y 2))
6.6b
(pow (/ y (+ z y)) (/ y 2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
45×times-frac
42×add-sqr-sqrt
40×add-cube-cbrt
36×unpow-prod-down
26×pow-unpow
17×add-exp-log
13×pow1
11×add-cbrt-cube
6×distribute-lft-out
5×div-inv
4×div-exp pow-exp associate-/r/ add-log-exp
3×swap-sqr associate-*r* associate-*l* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow flip3-+ prod-exp cbrt-unprod flip-+ sqr-pow
1×pow2 frac-2neg pow-plus pow-prod-down clear-num pow-sqr *-commutative pow-prod-up associate-/l* unswap-sqr
Counts
4 → 132
Calls
4 calls:
3.0ms
(/ (* (fabs (pow (/ y (+ z y)) (/ y 2))) (fabs (pow (/ y (+ z y)) (/ y 2)))) y)
3.0ms
(* (fabs (pow (/ y (+ z y)) (/ y 2))) (fabs (pow (/ y (+ z y)) (/ y 2))))
8.0ms
(pow (/ y (+ z y)) (/ y 2))
8.0ms
(pow (/ y (+ z y)) (/ y 2))

series516.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* (fabs (pow (/ y (+ z y)) (/ y 2))) (fabs (pow (/ y (+ z y)) (/ y 2)))) y)
14.0ms
(* (fabs (pow (/ y (+ z y)) (/ y 2))) (fabs (pow (/ y (+ z y)) (/ y 2))))
237.0ms
(pow (/ y (+ z y)) (/ y 2))
235.0ms
(pow (/ y (+ z y)) (/ y 2))

simplify58.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04921400
119961228
250011166

prune422.0ms

Filtered
144 candidates to 102 candidates (70.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
9.8b
(log (/ y (+ z y)))
9.8b
(log (/ y (+ z y)))
9.8b
(log (/ y (+ z y)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
54×log-prod
49×*-un-lft-identity
36×times-frac
29×add-sqr-sqrt add-cube-cbrt
13×add-exp-log
10×distribute-lft-out
7×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod flip3-+ add-cbrt-cube flip-+ add-log-exp
3×log-div div-exp log-pow div-inv
2×cbrt-div
1×pow1/3
Counts
4 → 101
Calls
4 calls:
66.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
4.0ms
(log (/ y (+ z y)))
4.0ms
(log (/ y (+ z y)))
4.0ms
(log (/ y (+ z y)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
50.0ms
(log (/ y (+ z y)))
45.0ms
(log (/ y (+ z y)))
49.0ms
(log (/ y (+ z y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0326849
1803793
23073766
35001764

prune405.0ms

Filtered
113 candidates to 83 candidates (73.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.4s

Algorithm
intervals
Results
359.0ms806×body1280valid
302.0ms6528×body80valid
243.0ms929×body640valid
101.0ms3013×body80nan
100.0ms572×body320valid
34.0ms320×body160valid