Details

Time bar (total: 5.2s)

sample28.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
6.0ms244×body80nan

simplify37.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
12.9b
(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)
7.0ms
(* x (log (/ x y)))
2.0ms
(log (/ x y))

series158.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- (* x (log (/ x y))) z)
47.0ms
(* x (log (/ x y)))
41.0ms
(log (/ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0413767
11429702
25001683

prune288.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series737.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
190.0ms
(cbrt y)
184.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify56.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune274.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series737.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
187.0ms
(cbrt y)
184.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify53.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune252.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.7b
(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
3.8b
(log (/ x (cbrt y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
80×log-prod
60×times-frac
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×associate-+r+
33×cbrt-prod
29×distribute-rgt-in distribute-lft-in
14×associate-+l+
7×add-exp-log
6×add-log-exp
5×pow1 div-inv
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×pow1/3 rem-log-exp
1×+-commutative log-div fma-def flip3-+ div-exp sum-log log-pow flip-+ distribute-lft-out
Counts
4 → 134
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
18.0ms
(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
3.0ms
(log (/ x (cbrt y)))

series812.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt y)
184.0ms
(cbrt y)
302.0ms
(+ (* x (log (/ 1 (* (cbrt y) (cbrt y))))) (* x (log (/ x (cbrt y)))))
143.0ms
(log (/ x (cbrt y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06901316
118611233
250011178

prune575.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes168.0ms

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

sample786.0ms

Algorithm
intervals
Results
261.0ms8029×body80valid
199.0ms8218×body80nan