Details

Time bar (total: 7.7s)

sample108.0ms

Algorithm
intervals
Results
53.0ms768×body80nan
23.0ms258×body80valid

simplify34.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.3b
(* x (log y))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
22×associate-+l+
21×add-sqr-sqrt
17×add-cube-cbrt associate--l+
15×log-prod
12×prod-diff
8×add-log-exp
7×pow1
6×distribute-rgt-in distribute-lft-in
5×fma-def
4×add-exp-log associate-*r* add-cbrt-cube distribute-lft-out
3×associate-+r+ diff-log associate-*l* sum-log log-pow distribute-lft-out--
2×expm1-log1p-u sub-neg log1p-expm1-u
1×+-commutative associate-+l- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
2 → 77
Calls
2 calls:
82.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(* x (log y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (- (- (* x (log y)) y) z) (log t))
40.0ms
(* x (log y))

simplify137.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0359500
11298392
24987361
35001361

prune227.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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)

series758.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt y) (cbrt y))
180.0ms
(cbrt y)
181.0ms
(cbrt y)
188.0ms
(cbrt y)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune355.0ms

Pruning

6 alts after pruning (4 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 (pow y 2/3) 1)) x)
0.6b
(cbrt y)
5.9b
(pow y 2/3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×pow1
9×add-exp-log associate-*l*
8×add-cbrt-cube
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod unpow-prod-down pow-unpow log-pow
2×pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 75
Calls
4 calls:
4.0ms
(* (log (cbrt y)) x)
4.0ms
(* (log (pow (pow y 2/3) 1)) x)
0.0ms
(cbrt y)
5.0ms
(pow y 2/3)

series598.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (log (cbrt y)) x)
109.0ms
(* (log (pow (pow y 2/3) 1)) x)
186.0ms
(cbrt y)
178.0ms
(pow y 2/3)

simplify136.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0252349
1948305
24778289
35001289

prune365.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.9b
(pow y 2/3)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 58
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(pow y 2/3)

series727.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt y)
183.0ms
(cbrt y)
188.0ms
(cbrt y)
175.0ms
(pow y 2/3)

simplify52.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0111177
1319150
21166144
35001138

prune377.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes271.0ms

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

sample3.2s

Algorithm
intervals
Results
1.6s24010×body80nan
720.0ms8021×body80valid
1.0ms1×body1280valid