Details

Time bar (total: 5.8s)

sample49.0ms

Algorithm
intervals
Results
11.0ms214×body80valid
10.0ms21×body1280valid
8.0ms28×body640valid
3.0ms97×body80nan
3.0ms14×body320valid
1.0ms5×body160valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (33.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642086
750016

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.4b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b
(/ y (+ z y))
0.1b
(* y (log (/ y (+ z y))))
7.4b
(log (/ y (+ z y)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
54×log-prod
48×times-frac
44×add-sqr-sqrt
42×add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
15×distribute-lft-out
11×add-exp-log
10×log-div
8×pow1 associate-/r* associate-/r/ add-cbrt-cube associate-/l*
6×add-log-exp
5×flip3-+ flip-+
4×expm1-log1p-u associate-*r* log-rec clear-num log1p-expm1-u div-inv
3×fma-def associate-*l*
2×frac-2neg div-exp rem-log-exp log-pow distribute-rgt-neg-out
1×cbrt-undiv +-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 153
Calls
4 calls:
38.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
10.0ms
(* y (log (/ y (+ z y))))
6.0ms
(log (/ y (+ z y)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
48.0ms
(/ y (+ z y))
88.0ms
(* y (log (/ y (+ z y))))
60.0ms
(log (/ y (+ z y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04051110
116151022
25002993

prune294.0ms

Filtered
165 candidates to 109 candidates (33.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1614165
Fresh101
Picked101
Done000
Total1634167

Merged error: 0.0b

Counts
167 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))
2.9b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
112×cbrt-prod
102×*-un-lft-identity
96×log-prod
84×times-frac
68×add-sqr-sqrt add-cube-cbrt
32×log-div
16×distribute-lft-out
14×associate-/r* associate-/l*
10×add-exp-log
8×cbrt-div
6×pow1
4×expm1-log1p-u flip3-+ rem-log-exp log-rec clear-num associate-/r/ add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
2×frac-2neg pow1/3 div-exp log-pow div-inv
Counts
4 → 188
Calls
4 calls:
3.0ms
(cbrt (+ z y))
3.0ms
(cbrt (+ z y))
11.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
11.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series438.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (+ z y))
142.0ms
(cbrt (+ z y))
80.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
80.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03891888
111061824
250011784

prune740.0ms

Filtered
200 candidates to 162 candidates (19.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2000200
Fresh033
Picked011
Done000
Total2004204

Merged error: 0.0b

Counts
204 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ (pow (/ y (+ z y)) y) y) 1 x)
0.0b
(/ y (+ z y))
5.6b
(pow (/ y (+ z y)) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
8×add-exp-log
7×distribute-lft-out
5×add-cbrt-cube
4×pow1 associate-/r* associate-/r/
3×expm1-log1p-u pow-unpow log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ div-exp pow-exp flip-+ div-inv
1×cbrt-undiv pow-to-exp pow-pow frac-2neg clear-num fma-udef sqr-pow
Counts
3 → 80
Calls
3 calls:
1.0ms
(fma (/ (pow (/ y (+ z y)) y) y) 1 x)
5.0ms
(/ y (+ z y))
6.0ms
(pow (/ y (+ z y)) y)

series462.0ms

Counts
3 → 9
Calls
3 calls:
167.0ms
(fma (/ (pow (/ y (+ z y)) y) y) 1 x)
46.0ms
(/ y (+ z y))
249.0ms
(pow (/ y (+ z y)) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0379517
11604489
25002488

prune190.0ms

Filtered
89 candidates to 66 candidates (25.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh112
Picked011
Done011
Total89493

Merged error: 0.0b

Counts
93 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
7.4b
(log (/ y (+ z y)))
7.4b
(log (/ y (+ z y)))
7.4b
(log (/ y (+ z y)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
54×log-prod
36×times-frac
35×add-sqr-sqrt add-cube-cbrt
30×log-div
13×add-exp-log distribute-lft-out
12×associate-/r* associate-/l*
7×pow1
6×rem-log-exp log-rec clear-num associate-/r/
4×cbrt-prod expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
3×frac-2neg div-exp log-pow div-inv
2×cbrt-div
1×pow1/3
Counts
4 → 142
Calls
4 calls:
38.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
14.0ms
(log (/ y (+ z y)))
7.0ms
(log (/ y (+ z y)))
7.0ms
(log (/ y (+ z y)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y)))
59.0ms
(log (/ y (+ z y)))
52.0ms
(log (/ y (+ z y)))
57.0ms
(log (/ y (+ z y)))

simplify130.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
03541057
1970985
23986962
35001961

prune505.0ms

Filtered
154 candidates to 114 candidates (26.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh011
Picked011
Done022
Total1544158

Merged error: 0.0b

Counts
158 → 4

regimes182.0ms

Accuracy

42.2% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.1b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05039
15439
25439

end0.0ms

sample1.5s

Algorithm
intervals
Results
367.0ms782×body1280valid
320.0ms6468×body80valid
279.0ms977×body640valid
109.0ms571×body320valid
104.0ms2854×body80nan
35.0ms305×body160valid