Details

Time bar (total: 7.1s)

sample67.0ms

Algorithm
intervals
Results
17.0ms211×body80valid
12.0ms24×body1280valid
10.0ms34×body640valid
6.0ms113×body80nan
5.0ms23×body320valid
2.0ms11×body160valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (28.0ms)

IterNodesCost
0187
1277
2547
31117
43147
58017
642176
750016

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

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))))
9.7b
(log (/ y (+ z y)))

rewrite283.0ms

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:
258.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms
(/ y (+ z y))
11.0ms
(* y (log (/ y (+ z y))))
4.0ms
(log (/ y (+ z y)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
43.0ms
(/ y (+ z y))
74.0ms
(* y (log (/ y (+ z y))))
52.0ms
(log (/ y (+ z y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03951046
11559967
25001936

prune371.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ z y))
0.6b
(cbrt (+ z y))
3.2b
(log (/ (cbrt y) (cbrt (+ z y))))
3.2b
(log (/ (cbrt y) (cbrt (+ z y))))

rewrite23.0ms

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×expm1-log1p-u flip3-+ rem-log-exp associate-/r/ add-cbrt-cube flip-+ log1p-expm1-u add-log-exp
2×log-div pow1/3 div-exp log-pow div-inv
Counts
4 → 154
Calls
4 calls:
2.0ms
(cbrt (+ z y))
2.0ms
(cbrt (+ z y))
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (+ z y))
129.0ms
(cbrt (+ z y))
75.0ms
(log (/ (cbrt y) (cbrt (+ z y))))
77.0ms
(log (/ (cbrt y) (cbrt (+ z y))))

simplify145.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
03611602
19911550
241621518
350011508

prune764.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))))
9.7b
(log (/ y (+ z y)))
9.7b
(log (/ y (+ z y)))
9.7b
(log (/ y (+ z y)))

rewrite524.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 148
Calls
4 calls:
505.0ms
(* (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (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)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
48.0ms
(log (/ y (+ z y)))
54.0ms
(log (/ y (+ z y)))
49.0ms
(log (/ y (+ z y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04011868
112921758
250011589

prune570.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

9.7b
(log (/ y (+ z y)))
9.7b
(log (/ y (+ z y)))
9.7b
(log (/ y (+ z y)))
9.7b
(log (/ y (+ z y)))

rewrite19.0ms

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×expm1-log1p-u log-div flip3-+ div-exp log-pow add-cbrt-cube flip-+ log1p-expm1-u div-inv add-log-exp
Counts
4 → 124
Calls
4 calls:
4.0ms
(log (/ y (+ z y)))
4.0ms
(log (/ y (+ z y)))
4.0ms
(log (/ y (+ z y)))
4.0ms
(log (/ y (+ z y)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(log (/ y (+ z y)))
55.0ms
(log (/ y (+ z y)))
47.0ms
(log (/ y (+ z y)))
54.0ms
(log (/ y (+ z y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 4 (53.0ms)

IterNodesCost
0161824
1328772
2746744
31924740
45002736

prune650.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (1.0b 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

sample1.9s

Algorithm
intervals
Results
543.0ms6527×body80valid
404.0ms788×body1280valid
296.0ms916×body640valid
180.0ms3100×body80nan
127.0ms575×body320valid
50.0ms325×body160valid