Details

Time bar (total: 4.5s)

sample52.0ms

Algorithm
intervals
Results
10.0ms202×body80valid
9.0ms35×body640valid
9.0ms20×body1280valid
4.0ms112×body80nan
2.0ms13×body320valid
2.0ms18×body160valid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (35.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune8.0ms

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: 5.0b

Counts
2 → 2

localize10.0ms

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

rewrite66.0ms

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:
39.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
6.0ms
(/ y (+ z y))
9.0ms
(* y (log (/ y (+ z y))))
6.0ms
(log (/ y (+ z y)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
39.0ms
(/ y (+ z y))
80.0ms
(* y (log (/ y (+ z y))))
55.0ms
(log (/ y (+ z y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04101110
116401022
25001993

prune383.0ms

Filtered
165 candidates to 109 candidates (66.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1632165
Fresh101
Picked101
Done000
Total1652167

Merged error: 0.0b

Counts
167 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ z y))
0.5b
(cbrt (+ z y))
3.1b
(log (/ (cbrt y) (cbrt (+ z y))))
3.1b
(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))
10.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
14.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series406.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (+ z y))
129.0ms
(cbrt (+ z y))
75.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
76.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03911888
111121824
250011784

prune916.0ms

Filtered
200 candidates to 162 candidates (81.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2000200
Fresh011
Picked011
Done000
Total2002202

Merged error: 0.0b

Counts
202 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
5×add-exp-log
4×add-cbrt-cube add-log-exp
3×fma-def associate-/r* associate-/l*
2×pow1 expm1-log1p-u div-exp log1p-expm1-u
1×cbrt-undiv +-commutative exp-neg frac-2neg mul-1-neg flip3-+ clear-num sum-log flip-+ div-inv associate-/l/ distribute-lft-out
Counts
2 → 48
Calls
2 calls:
11.0ms
(+ x (/ (exp (* -1 z)) y))
7.0ms
(/ (exp (* -1 z)) y)

series41.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ x (/ (exp (* -1 z)) y))
20.0ms
(/ (exp (* -1 z)) y)

simplify74.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0185294
1495278
22102274
35001274

prune126.0ms

Filtered
54 candidates to 42 candidates (77.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New52254
Fresh000
Picked101
Done011
Total53356

Merged error: 0b

Counts
56 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×*-un-lft-identity
16×add-exp-log
15×add-cube-cbrt
13×associate-*r*
11×times-frac
10×exp-neg mul-1-neg
9×frac-times associate-*r/
8×prod-exp
7×add-cbrt-cube associate-/l*
6×associate-/r*
4×pow1 div-exp associate-*l* add-log-exp
3×fma-def clear-num un-div-inv unswap-sqr
2×expm1-log1p-u rec-exp frac-2neg 1-exp pow-prod-down *-commutative cbrt-unprod log1p-expm1-u distribute-lft-out
1×cbrt-undiv +-commutative exp-prod flip3-+ associate-*l/ sum-log flip-+ div-inv inv-pow
Counts
2 → 81
Calls
2 calls:
12.0ms
(+ x (* (exp (* -1 z)) (/ 1 y)))
15.0ms
(* (exp (* -1 z)) (/ 1 y))

series41.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ x (* (exp (* -1 z)) (/ 1 y)))
19.0ms
(* (exp (* -1 z)) (/ 1 y))

simplify49.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0333433
11286385
25001354

prune177.0ms

Filtered
87 candidates to 58 candidates (66.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New86187
Fresh101
Picked011
Done011
Total87390

Merged error: 0b

Counts
90 → 3

regimes55.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02718
12918
22918

end0.0ms

sample1.5s

Algorithm
intervals
Results
347.0ms766×body1280valid
329.0ms6517×body80valid
255.0ms941×body640valid
110.0ms3146×body80nan
101.0ms559×body320valid
36.0ms324×body160valid