Details

Time bar (total: 4.7s)

sample40.0ms

Algorithm
intervals
Results
13.0ms257×body80valid
11.0ms268×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1294
2514
3654
4974
51204
61594
72574
83224
93224

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity
17×associate--l+
16×add-cube-cbrt
12×log-prod prod-diff
7×add-log-exp
6×distribute-rgt-in distribute-lft-in
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube
3×fma-neg diff-log associate-*l*
2×expm1-log1p-u sub-neg log1p-expm1-u
1×associate--l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
25.0ms
(- (- (* x (log y)) z) y)
4.0ms
(* x (log y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (- (* x (log y)) z) y)
7.0ms
(* x (log y))

simplify133.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
0302480
11071361
24460338
35001311

prune350.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)

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)

series42.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (cbrt y) (cbrt y))
10.0ms
(cbrt y)
10.0ms
(cbrt y)
10.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune738.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (cbrt y)) x)
0.3b
(* (log (pow (/ 1 y) -2/3)) x)
0.6b
(cbrt y)
6.1b
(pow (/ 1 y) -2/3)

rewrite17.0ms

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:
4.0ms
(* (log (cbrt y)) x)
3.0ms
(* (log (pow (/ 1 y) -2/3)) x)
1.0ms
(cbrt y)
7.0ms
(pow (/ 1 y) -2/3)

series58.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (log (cbrt y)) x)
17.0ms
(* (log (pow (/ 1 y) -2/3)) x)
9.0ms
(cbrt y)
9.0ms
(pow (/ 1 y) -2/3)

simplify42.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0349455
11354396
25001371

prune779.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
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 y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -2/3)

series37.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cbrt y)
9.0ms
(cbrt y)
9.0ms
(cbrt y)
9.0ms
(pow (/ 1 y) -2/3)

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0214290
1686263
22450248
35001230

prune861.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes283.0ms

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
084
184

end0.0ms

sample1.1s

Algorithm
intervals
Results
401.0ms8040×body80valid
327.0ms7901×body80nan
1.0ms1×body2560valid
0.0ms1×body1280valid