Details

Time bar (total: 6.6s)

sample72.0ms

Algorithm
intervals
Results
30.0ms842×body80nan
10.0ms257×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
0216
1526
21346
32826
45415
57525
69685
711995
813275
913275

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:
13.0ms
(+ (- (- (* x (log y)) y) z) (log t))
5.0ms
(- (* x (log y)) y)
4.0ms
(* x (log y))

series131.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ (- (- (* x (log y)) y) z) (log t))
50.0ms
(- (* x (log y)) y)
38.0ms
(* x (log y))

simplify46.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0429636
11567511
25002472

prune236.0ms

Filtered
110 candidates to 80 candidates (72.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1064110
Fresh101
Picked011
Done000
Total1075112

Merged error: 0.0b

Counts
112 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms

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

series699.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt y) (cbrt y))
177.0ms
(cbrt y)
167.0ms
(cbrt y)
167.0ms
(cbrt y)

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune293.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh123
Picked011
Done011
Total93598

Merged error: 0.0b

Counts
98 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow y 2/3)))
0.3b
(* (log (cbrt y)) x)
0.6b
(cbrt y)
6.0b
(pow y 2/3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×log-prod
10×pow1
9×add-exp-log unpow-prod-down
8×associate-*l* add-cbrt-cube
7×distribute-rgt-in distribute-lft-in associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow-unpow log-pow sqr-pow
2×pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow-to-exp pow-pow pow-exp
Counts
4 → 89
Calls
4 calls:
5.0ms
(* x (log (pow y 2/3)))
4.0ms
(* (log (cbrt y)) x)
1.0ms
(cbrt y)
2.0ms
(pow y 2/3)

series734.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* x (log (pow y 2/3)))
302.0ms
(* (log (cbrt y)) x)
187.0ms
(cbrt y)
162.0ms
(pow y 2/3)

simplify153.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0282429
11135366
24930346
35001346

prune288.0ms

Filtered
101 candidates to 70 candidates (69.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh112
Picked011
Done112
Total1024106

Merged error: 0.0b

Counts
106 → 4

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow (pow y (sqrt 2/3)) (sqrt 2/3))))
0.6b
(cbrt y)
1.8b
(pow (pow y (sqrt 2/3)) (sqrt 2/3))
2.0b
(pow y (sqrt 2/3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
33×unpow-prod-down
22×add-sqr-sqrt log-prod
20×add-cube-cbrt *-un-lft-identity
12×pow-unpow
11×distribute-rgt-in distribute-lft-in
9×add-exp-log
7×pow1 sqr-pow
6×sqrt-prod add-cbrt-cube
5×pow-exp
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×cbrt-prod pow-to-exp associate-*l*
2×pow-pow
1×pow1/3 pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
4 → 106
Calls
4 calls:
7.0ms
(* x (log (pow (pow y (sqrt 2/3)) (sqrt 2/3))))
1.0ms
(cbrt y)
4.0ms
(pow (pow y (sqrt 2/3)) (sqrt 2/3))
3.0ms
(pow y (sqrt 2/3))

series949.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* x (log (pow (pow y (sqrt 2/3)) (sqrt 2/3))))
178.0ms
(cbrt y)
367.0ms
(pow (pow y (sqrt 2/3)) (sqrt 2/3))
185.0ms
(pow y (sqrt 2/3))

simplify49.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0350813
11413698
25002581

prune332.0ms

Filtered
118 candidates to 73 candidates (61.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1171118
Fresh011
Picked011
Done022
Total1175122

Merged error: 0.0b

Counts
122 → 5

regimes253.0ms

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

sample2.0s

Algorithm
intervals
Results
858.0ms24645×body80nan
340.0ms8043×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid