Details

Time bar (total: 5.3s)

sample28.0ms

Algorithm
intervals
Results
8.0ms243×body80nan
7.0ms257×body80valid

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
39×prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
20×associate-*r*
16×associate-*l*
13×fma-neg
12×log-prod
9×pow1
6×distribute-rgt-in distribute-lft-in associate--l+ unswap-sqr
5×log-pow *-commutative
4×add-exp-log add-cbrt-cube add-log-exp
2×expm1-log1p-u log1p-expm1-u distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log pow-prod-down prod-exp flip-- cbrt-unprod
Counts
2 → 103
Calls
2 calls:
10.0ms
(- (* x (log y)) z)
7.0ms
(* x (log y))

series100.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (* x (log y)) z)
48.0ms
(* x (log y))

simplify90.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0301816
1895548
23208453
35001386

prune154.0ms

Filtered
109 candidates to 52 candidates (47.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1045109
Fresh000
Picked011
Done000
Total1046110

Merged error: 0.0b

Counts
110 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
62×associate-*r*
49×*-un-lft-identity
48×log-prod
42×add-sqr-sqrt
36×distribute-rgt-in distribute-lft-in
33×add-cube-cbrt
30×cbrt-prod
24×associate-+l+ fma-def
19×associate-*l*
16×pow1
14×log-pow
13×distribute-rgt-out
12×associate-+r+
11×distribute-lft-out
6×add-exp-log pow1/3 add-cbrt-cube add-log-exp
5×*-commutative unswap-sqr
4×expm1-log1p-u log1p-expm1-u
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log cbrt-unprod flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
30.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series534.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* x (log (cbrt y)))
96.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
173.0ms
(cbrt y)
176.0ms
(cbrt y)

simplify61.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0452844
11989693
25002627

prune474.0ms

Filtered
169 candidates to 128 candidates (75.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1663169
Fresh404
Picked101
Done011
Total1714175

Merged error: 0b

Counts
175 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow (/ 1 y) -1/3)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
0.6b
(cbrt y)
5.1b
(pow (/ 1 y) -1/3)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
92×log-prod
75×*-un-lft-identity
72×add-sqr-sqrt
65×unpow-prod-down
63×add-cube-cbrt
58×distribute-rgt-in distribute-lft-in
45×times-frac
44×associate-*r*
34×associate-+r+
24×associate-+l+ fma-def
19×associate-*l*
16×log-pow
15×pow1 cbrt-prod
11×add-exp-log distribute-lft-out
8×pow-pow
6×pow-unpow add-cbrt-cube add-log-exp
5×*-commutative div-inv unswap-sqr sqr-pow
4×expm1-log1p-u pow1/3 pow-exp log1p-expm1-u
3×distribute-rgt-out pow-flip inv-pow
2×div-exp
1×+-commutative pow-to-exp rec-exp flip3-+ 1-exp pow-prod-down prod-exp sum-log cbrt-unprod flip-+
Counts
4 → 218
Calls
4 calls:
11.0ms
(* x (log (pow (/ 1 y) -1/3)))
44.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
1.0ms
(cbrt y)
6.0ms
(pow (/ 1 y) -1/3)

series607.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* x (log (pow (/ 1 y) -1/3)))
177.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
178.0ms
(cbrt y)
174.0ms
(pow (/ 1 y) -1/3)

simplify108.0ms

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07851516
136641326
250011299

prune694.0ms

Filtered
230 candidates to 164 candidates (71.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2300230
Fresh022
Picked011
Done011
Total2304234

Merged error: 0b

Counts
234 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))
5.1b
(pow y 1/3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
26×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
6×swap-sqr associate-*r* associate-*l*
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp *-commutative sqr-pow
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
6.0ms
(cbrt (* (cbrt y) (cbrt y)))
2.0ms
(pow y 1/3)

series831.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
232.0ms
(cbrt (cbrt y))
256.0ms
(cbrt (* (cbrt y) (cbrt y)))
170.0ms
(pow y 1/3)

simplify101.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0215465
1754425
24123403
35001396

prune428.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh011
Picked011
Done022
Total984102

Merged error: 0b

Counts
102 → 4

regimes99.0ms

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
02311
12311

end0.0ms

sample718.0ms

Algorithm
intervals
Results
232.0ms8030×body80valid
165.0ms7988×body80nan
0.0ms1×body1280valid