Details

Time bar (total: 4.0s)

sample58.0ms

Algorithm
intervals
Results
12.0ms209×body80valid
11.0ms20×body1280valid
8.0ms28×body640valid
4.0ms93×body80nan
4.0ms17×body320valid
1.0ms8×body160valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1277
2547
31097
43077
57777
641457
750027

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.1b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z y))
0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b
(* y (log (/ y (+ z y))))
9.1b
(log (/ y (+ z y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
54×log-prod
48×times-frac
41×add-sqr-sqrt
39×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×distribute-lft-out
11×add-exp-log
8×pow1 associate-/r/ add-cbrt-cube
6×add-log-exp
5×flip3-+ flip-+
4×associate-*r* associate-/r* div-inv
3×associate-*l* associate-/l*
2×div-exp rem-log-exp log-pow
1×cbrt-undiv +-commutative log-div frac-2neg pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 129
Calls
4 calls:
5.0ms
(/ y (+ z y))
34.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ y (+ z y))
20.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
13.0ms
(* y (log (/ y (+ z y))))
12.0ms
(log (/ y (+ z y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04121027
11668939
25002913

prune152.0ms

Filtered
141 candidates to 90 candidates (36.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1374141
Fresh000
Picked101
Done000
Total1384142

Merged error: 0.2b

Counts
142 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ z y))
0.6b
(cbrt (+ z y))
4.2b
(log (/ (cbrt y) (cbrt (+ z y))))
4.2b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
98×cbrt-prod
96×log-prod
88×*-un-lft-identity
84×times-frac
60×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
10×add-exp-log
8×cbrt-div
6×pow1
4×flip3-+ rem-log-exp associate-/r/ add-cbrt-cube flip-+ add-log-exp
2×log-div pow1/3 div-exp log-pow div-inv
Counts
4 → 146
Calls
4 calls:
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ z y))
30.0ms
(cbrt (+ z y))
26.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
23.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify113.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
03781556
19271492
237611430
350021430

prune179.0ms

Filtered
158 candidates to 106 candidates (32.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh033
Picked011
Done000
Total1584162

Merged error: 0.2b

Counts
162 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
9.1b
(log (/ y (+ z y)))
9.1b
(log (/ y (+ z y)))
9.1b
(log (/ y (+ z y)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
54×log-prod
44×add-sqr-sqrt
36×add-cube-cbrt times-frac
24×cbrt-prod
15×add-exp-log distribute-lft-out
14×pow1
12×cbrt-div
9×flip3-+ swap-sqr flip-+
7×associate-*r* associate-*l*
6×pow1/3 rem-log-exp associate-/r/
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×log-div div-exp log-pow div-inv
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 140
Calls
4 calls:
68.0ms
(* (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))

series109.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
11.0ms
(log (/ y (+ z y)))
11.0ms
(log (/ y (+ z y)))
16.0ms
(log (/ y (+ z y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04671885
115551761
250021579

prune167.0ms

Filtered
152 candidates to 102 candidates (32.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1511152
Fresh022
Picked101
Done011
Total1524156

Merged error: 0.2b

Counts
156 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

9.1b
(log (/ y (+ z y)))
9.1b
(log (/ y (+ z y)))
9.1b
(log (/ y (+ z y)))
9.1b
(log (/ y (+ z y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
72×log-prod
60×*-un-lft-identity
48×times-frac
36×add-sqr-sqrt add-cube-cbrt
16×add-exp-log
12×distribute-lft-out
8×pow1 rem-log-exp associate-/r/
4×log-div flip3-+ div-exp log-pow add-cbrt-cube flip-+ div-inv add-log-exp
Counts
4 → 116
Calls
4 calls:
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))
5.0ms
(log (/ y (+ z y)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(log (/ y (+ z y)))
11.0ms
(log (/ y (+ z y)))
12.0ms
(log (/ y (+ z y)))
14.0ms
(log (/ y (+ z y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
0160808
1336744
2778712
32013704
45001704

prune288.0ms

Filtered
128 candidates to 92 candidates (28.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh022
Picked011
Done011
Total1284132

Merged error: 0.2b

Counts
132 → 4

regimes379.0ms

Accuracy

0% (0.1b remaining)

Error of 1.0b against oracle of 0.9b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.8s

Algorithm
intervals
Results
391.0ms787×body1280valid
383.0ms6502×body80valid
293.0ms948×body640valid
132.0ms2994×body80nan
116.0ms572×body320valid
44.0ms346×body160valid

Profiling

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