Details

Time bar (total: 7.6s)

sample35.0ms

Algorithm
intervals
Results
12.0ms301×body80valid
7.0ms272×body80nan

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0265
1575
21215
32415
43645
54905
66415
710235
817975
921555
1021615
1121615

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b
(+ (- 1.0 z) (log z))
0.1b
(* y (+ (- 1.0 z) (log z)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
17×add-sqr-sqrt
13×add-cube-cbrt
11×associate-+l+
9×pow1 prod-diff
8×distribute-lft-out add-log-exp
7×associate-*r*
6×fma-def
5×add-exp-log associate-+r+ add-cbrt-cube distribute-lft-out--
4×log-pow
3×expm1-log1p-u log-prod flip3-+ associate-*l* sum-log flip-+ log1p-expm1-u
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/
1×associate-+l- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
3 → 82
Calls
3 calls:
11.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
17.0ms
(+ (- 1.0 z) (log z))
41.0ms
(* y (+ (- 1.0 z) (log z)))

series294.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
162.0ms
(+ (- 1.0 z) (log z))
73.0ms
(* y (+ (- 1.0 z) (log z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0410523
11823431
25001425

prune221.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(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)

series742.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt y) (cbrt y))
179.0ms
(cbrt y)
186.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify97.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune273.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
0.5b
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
0.5b
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
0.5b
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
18.0ms
(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
2.0ms
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
2.0ms
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
2.0ms
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

series3.0s

Counts
4 → 12
Calls
4 calls:
961.0ms
(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
594.0ms
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
790.0ms
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
604.0ms
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04121854
116571746
250011644

prune349.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 z) (- 1.0 z))
0.5b
(* (log z) (log z))
4.1b
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
9.1b
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
72×add-sqr-sqrt
61×distribute-rgt-in distribute-lft-in
56×prod-diff
54×add-cube-cbrt
44×associate--l+
30×pow1
18×distribute-lft-out--
15×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r*
12×associate-*l*
10×log-pow
9×flip3-- flip--
8×sub-neg times-frac associate-/r*
7×difference-of-squares
6×log-prod associate-*r/
4×expm1-log1p-u frac-times prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative unswap-sqr
2×cbrt-undiv pow2 pow-plus div-exp associate-*l/ associate-/r/ pow-sqr pow-prod-up associate-/l/
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 213
Calls
4 calls:
20.0ms
(* (- 1.0 z) (- 1.0 z))
5.0ms
(* (log z) (log z))
43.0ms
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
58.0ms
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (- 1.0 z) (- 1.0 z))
145.0ms
(* (log z) (log z))
79.0ms
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
208.0ms
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify142.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09592547
149921920
250011920

prune382.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes185.0ms

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
0156
1156

end0.0ms

sample1.0s

Algorithm
intervals
Results
347.0ms9175×body80valid
263.0ms9239×body80nan