Details

Time bar (total: 5.3s)

sample37.0ms

Algorithm
intervals
Results
11.0ms270×body80nan
10.0ms256×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1184
2254
3454
4764
51024
61224
71524
82464
93534
105594
115624
125634
135634

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
16.6b
(log (/ x y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
43×add-sqr-sqrt
41×add-cube-cbrt *-un-lft-identity
26×distribute-rgt-in distribute-lft-in associate--l+
8×add-exp-log
7×pow1
5×add-cbrt-cube div-inv add-log-exp
4×associate-*r*
3×expm1-log1p-u associate-*l* prod-diff log1p-expm1-u
2×rem-log-exp log-pow
1×sub-neg log-div flip3-- fma-neg diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 117
Calls
3 calls:
8.0ms
(- (* x (log (/ x y))) z)
6.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series161.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (* x (log (/ x y))) z)
53.0ms
(* x (log (/ x y)))
36.0ms
(log (/ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0413767
11429702
25001683

prune251.0ms

Filtered
126 candidates to 91 candidates (72.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1206126
Fresh000
Picked011
Done000
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series720.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt y)
178.0ms
(cbrt y)
178.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify57.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune231.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh055
Picked011
Done011
Total64771

Merged error: 0.0b

Counts
71 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
6.5b
(log (/ (cbrt x) y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
7×add-exp-log
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×rem-log-exp
1×log-div div-exp log-pow div-inv
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(log (/ (cbrt x) y))

series695.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt x)
187.0ms
(cbrt x)
185.0ms
(cbrt x)
135.0ms
(log (/ (cbrt x) y))

simplify126.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0200398
1480377
21268365
34417355
45001355

prune253.0ms

Filtered
86 candidates to 71 candidates (82.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh044
Picked011
Done022
Total86793

Merged error: 0.0b

Counts
93 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
0.6b
(* (cbrt y) (cbrt y))
7.0b
(log (/ x (cbrt y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
80×log-prod
64×add-sqr-sqrt
60×times-frac
56×add-cube-cbrt *-un-lft-identity
46×cbrt-prod
44×associate-+r+
29×distribute-rgt-in distribute-lft-in
14×associate-+l+
12×pow1
9×add-exp-log
7×pow1/3
6×swap-sqr associate-*r* associate-*l* add-log-exp
5×div-inv
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u unswap-sqr
2×rem-log-exp pow-prod-down pow-sqr pow-prod-up
1×+-commutative pow2 log-div fma-def flip3-+ pow-plus div-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 163
Calls
4 calls:
1.0ms
(cbrt y)
15.0ms
(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
6.0ms
(* (cbrt y) (cbrt y))
4.0ms
(log (/ x (cbrt y)))

series838.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt y)
304.0ms
(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
201.0ms
(* (cbrt y) (cbrt y))
144.0ms
(log (/ x (cbrt y)))

simplify75.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07531452
122861245
250021181

prune503.0ms

Filtered
175 candidates to 140 candidates (80.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1741175
Fresh123
Picked011
Done033
Total1757182

Merged error: 0.0b

Counts
182 → 7

regimes169.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02214
12414
22414

end0.0ms

sample950.0ms

Algorithm
intervals
Results
329.0ms8035×body80valid
260.0ms7889×body80nan