Details

Time bar (total: 7.4s)

sample33.0ms

Algorithm
intervals
Results
10.0ms301×body80valid
7.0ms272×body80nan

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1516
21046
31916
42626
53536
64666
77126
811106
912566
1012576
1112576

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
9×pow1
8×add-sqr-sqrt distribute-lft-out add-log-exp
7×associate-*r*
6×add-cube-cbrt
5×add-exp-log associate-+r+ add-cbrt-cube
4×log-pow distribute-lft-out--
3×log-prod flip3-+ associate-*l* sum-log flip-+
2×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/
1×associate-+l- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
9.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms
(+ (- 1.0 z) (log z))
43.0ms
(* y (+ (- 1.0 z) (log z)))

series298.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
159.0ms
(+ (- 1.0 z) (log z))
78.0ms
(* y (+ (- 1.0 z) (log z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0359419
11515371
25001370

prune181.0ms

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)

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×add-cbrt-cube 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 → 73
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series736.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (cbrt y) (cbrt y))
176.0ms
(cbrt y)
179.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune240.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

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)))))

rewrite29.0ms

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×frac-times add-cbrt-cube 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 → 87
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)))))

series2.8s

Counts
4 → 12
Calls
4 calls:
997.0ms
(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
616.0ms
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
613.0ms
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
605.0ms
(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03981778
115801671
250021566

prune324.0ms

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)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
36×add-sqr-sqrt
30×pow1
18×add-cube-cbrt distribute-lft-out--
15×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
13×swap-sqr associate-*r*
12×associate-*l*
10×log-pow
9×flip3-- flip--
8×sub-neg times-frac associate--l+ associate-/r*
7×difference-of-squares
6×log-prod associate-*r/
4×frac-times prod-exp cbrt-unprod 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 → 149
Calls
4 calls:
17.0ms
(* (- 1.0 z) (- 1.0 z))
5.0ms
(* (log z) (log z))
38.0ms
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
39.0ms
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series656.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (- 1.0 z) (- 1.0 z))
146.0ms
(* (log z) (log z))
78.0ms
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
408.0ms
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify112.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
07281377
137751206
250021197

prune322.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes180.0ms

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

sample940.0ms

Algorithm
intervals
Results
325.0ms9175×body80valid
249.0ms9239×body80nan