Details

Time bar (total: 4.6s)

sample49.0ms

Algorithm
intervals
Results
15.0ms33×body1280valid
9.0ms205×body80valid
6.0ms23×body640valid
3.0ms89×body80nan
3.0ms16×body320valid
1.0ms10×body160valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (28.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.8b

Counts
2 → 2

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))))
7.9b
(log (/ y (+ z y)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
54×log-prod
48×times-frac
42×add-sqr-sqrt
40×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×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u div-inv
3×fma-def 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 → 140
Calls
4 calls:
5.0ms
(/ y (+ z y))
37.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms
(* y (log (/ y (+ z y))))
5.0ms
(log (/ y (+ z y)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ y (+ z y))
67.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
77.0ms
(* y (log (/ y (+ z y))))
51.0ms
(log (/ y (+ z y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03951046
11559967
25001936

prune355.0ms

Filtered
152 candidates to 101 candidates (66.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1493152
Fresh101
Picked101
Done000
Total1513154

Merged error: 0.0b

Counts
154 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.5b
(log (/ (cbrt y) (cbrt (+ z y))))
3.5b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite27.0ms

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×expm1-log1p-u cbrt-div rem-log-exp associate-/r/ add-cbrt-cube log1p-expm1-u add-log-exp
2×log-div flip3-+ pow1/3 div-exp log-pow flip-+ div-inv
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series497.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
171.0ms
(cbrt y)
73.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
75.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
03171502
17721456
223701424
350021350

prune556.0ms

Filtered
160 candidates to 110 candidates (68.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1600160
Fresh022
Picked011
Done000
Total1603163

Merged error: 0.0b

Counts
163 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (exp (* -1 z)) y))
0.0b
(/ (exp (* -1 z)) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log fma-def associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv +-commutative exp-neg frac-2neg mul-1-neg flip3-+ div-exp clear-num sum-log flip-+ div-inv associate-/l/ distribute-lft-out
Counts
2 → 47
Calls
2 calls:
6.0ms
(+ x (/ (exp (* -1 z)) y))
4.0ms
(/ (exp (* -1 z)) y)

series39.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ x (/ (exp (* -1 z)) y))
19.0ms
(/ (exp (* -1 z)) y)

simplify63.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0184292
1491275
22110271
35001271

prune120.0ms

Filtered
53 candidates to 42 candidates (79.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New52153
Fresh011
Picked011
Done011
Total52456

Merged error: 0b

Counts
56 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ (exp (* -1 z)) y))
0.4b
(cbrt (/ (exp (* -1 z)) y))
0.4b
(cbrt (/ (exp (* -1 z)) y))
0.4b
(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
3.0ms
(cbrt (/ (exp (* -1 z)) y))
3.0ms
(cbrt (/ (exp (* -1 z)) y))
3.0ms
(cbrt (/ (exp (* -1 z)) y))
13.0ms
(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(cbrt (/ (exp (* -1 z)) y))
68.0ms
(cbrt (/ (exp (* -1 z)) y))
68.0ms
(cbrt (/ (exp (* -1 z)) y))
90.0ms
(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03291776
111821694
250011611

prune513.0ms

Filtered
164 candidates to 134 candidates (81.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1640164
Fresh011
Picked011
Done022
Total1644168

Merged error: 0b

Counts
168 → 4

regimes63.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.4s

Algorithm
intervals
Results
338.0ms759×body1280valid
297.0ms6494×body80valid
232.0ms915×body640valid
101.0ms3070×body80nan
94.0ms549×body320valid
37.0ms353×body160valid