Details

Time bar (total: 3.6s)

sample28.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
6.0ms275×body80nan

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1294
2514
3654
4974
51204
61594
72574
83224
93224

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×associate--l+
22×*-un-lft-identity
20×add-cube-cbrt
18×log-prod
15×prod-diff
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
6×pow1
5×add-exp-log add-cbrt-cube
4×fma-neg diff-log associate-*r*
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
2×flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
25.0ms
(- (- (* x (log y)) z) y)
4.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series130.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (- (* x (log y)) z) y)
55.0ms
(- (* x (log y)) z)
43.0ms
(* x (log y))

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0365609
11312480
25001447

prune200.0ms

Filtered
101 candidates to 68 candidates (67.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (fma x (log y) (- z)) y)
0.1b
(fma x (log y) (- z))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt prod-diff
4×add-log-exp
3×fma-neg
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 39
Calls
2 calls:
3.0ms
(- (fma x (log y) (- z)) y)
0.0ms
(fma x (log y) (- z))

series88.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (fma x (log y) (- z)) y)
56.0ms
(fma x (log y) (- z))

simplify79.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0179357
1563272
22655257
35001222

prune99.0ms

Filtered
45 candidates to 32 candidates (71.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (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)

series716.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
173.0ms
(cbrt y)
172.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune299.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (* (sqrt x) (* (sqrt x) (log y))) z) y)
0.0b
(- (* (sqrt x) (* (sqrt x) (log y))) z)
0.2b
(* (sqrt x) (* (sqrt x) (log y)))
0.2b
(* (sqrt x) (log y))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
42×log-prod
41×associate--l+
39×distribute-rgt-in distribute-lft-in
38×add-sqr-sqrt
34×*-un-lft-identity
32×add-cube-cbrt
15×prod-diff
12×pow1 associate-*l*
11×add-exp-log add-cbrt-cube add-log-exp
7×sqrt-prod
5×associate-*r*
4×expm1-log1p-u fma-neg diff-log pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×sub-neg
2×flip3-- *-commutative flip-- unswap-sqr
1×associate--l- log-pow distribute-lft-out-- difference-of-squares
Counts
4 → 143
Calls
4 calls:
107.0ms
(- (- (* (sqrt x) (* (sqrt x) (log y))) z) y)
13.0ms
(- (* (sqrt x) (* (sqrt x) (log y))) z)
13.0ms
(* (sqrt x) (* (sqrt x) (log y)))
6.0ms
(* (sqrt x) (log y))

series238.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (- (* (sqrt x) (* (sqrt x) (log y))) z) y)
74.0ms
(- (* (sqrt x) (* (sqrt x) (log y))) z)
49.0ms
(* (sqrt x) (* (sqrt x) (log y)))
65.0ms
(* (sqrt x) (log y))

simplify67.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06441216
12337922
25001891

prune406.0ms

Filtered
155 candidates to 109 candidates (70.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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
074

end0.0ms

sample776.0ms

Algorithm
intervals
Results
242.0ms8045×body80valid
182.0ms8142×body80nan
0.0ms1×body160valid