Details

Time bar (total: 4.9s)

sample30.0ms

Algorithm
intervals
Results
8.0ms260×body80valid
5.0ms240×body80nan

simplify32.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
12.9b
(log (/ x y))

rewrite39.0ms

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:
18.0ms
(- (* x (log (/ x y))) z)
13.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series155.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (* x (log (/ x y))) z)
51.0ms
(* x (log (/ x y)))
36.0ms
(log (/ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0413767
11429702
25001683

prune302.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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 x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series714.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
175.0ms
(cbrt x)
178.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify52.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune264.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.7b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 log-prod rem-log-exp
4×expm1-log1p-u div-exp prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×log-div times-frac log-pow div-inv
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series637.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
176.0ms
(cbrt y)
178.0ms
(cbrt y)
99.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify106.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0137341
1299298
2949281
34282276
45001276

prune300.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(pow (log (/ (cbrt x) (cbrt y))) 3)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod
7×pow1
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u unpow-prod-down cube-prod log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×log-pow
1×cube-mult pow-to-exp pow-pow unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(pow (log (/ (cbrt x) (cbrt y))) 3)

series645.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt x)
183.0ms
(cbrt y)
180.0ms
(cbrt y)
91.0ms
(pow (log (/ (cbrt x) (cbrt y))) 3)

simplify146.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0195338
1650297
23947287
35002287

prune289.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512

end0.0ms

sample896.0ms

Algorithm
intervals
Results
243.0ms8024×body80valid
183.0ms8176×body80nan