Details

Time bar (total: 6.4s)

sample69.0ms

Algorithm
intervals
Results
27.0ms796×body80nan
11.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log y)) y)
0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.2b
(* x (log y))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
25×add-sqr-sqrt
23×associate--l+
22×associate-+l+
21×add-cube-cbrt log-prod
15×prod-diff
11×add-log-exp
9×distribute-rgt-in distribute-lft-in
8×pow1
5×add-exp-log fma-def add-cbrt-cube
4×diff-log associate-*r* distribute-lft-out
3×expm1-log1p-u sub-neg associate-+r+ associate-*l* sum-log log-pow log1p-expm1-u distribute-lft-out--
1×+-commutative associate-+l- flip3-- flip3-+ fma-neg pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
3 → 101
Calls
3 calls:
4.0ms
(- (* x (log y)) y)
83.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(* x (log y))

series141.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (* x (log y)) y)
48.0ms
(+ (- (- (* x (log y)) y) z) (log t))
39.0ms
(* x (log y))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0429636
11567511
25002472

prune286.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series720.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt y) (cbrt y))
169.0ms
(cbrt y)
174.0ms
(cbrt y)
179.0ms
(cbrt y)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune363.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (cbrt y)) x)
0.3b
(* (log (pow (/ 1 y) -2/3)) x)
0.5b
(cbrt y)
6.1b
(pow (/ 1 y) -2/3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
13×add-exp-log unpow-prod-down
11×pow1
9×times-frac associate-*l*
8×add-cbrt-cube
6×associate-*r*
4×expm1-log1p-u pow-exp log1p-expm1-u add-log-exp
3×cbrt-prod pow-unpow pow-pow log-pow
2×pow1/3 div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow-to-exp rec-exp pow-flip 1-exp div-inv inv-pow sqr-pow
Counts
4 → 90
Calls
4 calls:
7.0ms
(* (log (cbrt y)) x)
3.0ms
(* (log (pow (/ 1 y) -2/3)) x)
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -2/3)

series581.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (log (cbrt y)) x)
100.0ms
(* (log (pow (/ 1 y) -2/3)) x)
177.0ms
(cbrt y)
183.0ms
(pow (/ 1 y) -2/3)

simplify42.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0349455
11354396
25001371

prune355.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
6.1b
(pow (/ 1 y) -2/3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×unpow-prod-down
9×add-exp-log cbrt-prod times-frac
6×pow1
4×expm1-log1p-u pow-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow pow-pow pow1/3
2×div-exp
1×pow-to-exp rec-exp pow-flip 1-exp div-inv inv-pow sqr-pow
Counts
4 → 73
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
4.0ms
(pow (/ 1 y) -2/3)

series731.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
178.0ms
(cbrt x)
191.0ms
(cbrt x)
189.0ms
(pow (/ 1 y) -2/3)

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0219288
1674262
22415251
35002233

prune313.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes280.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample2.1s

Algorithm
intervals
Results
869.0ms24549×body80nan
351.0ms8033×body80valid
0.0ms1×body1280valid