Details

Time bar (total: 5.3s)

sample35.0ms

Algorithm
intervals
Results
10.0ms288×body80valid
8.0ms290×body80nan

simplify65.0ms

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

prune3.0ms

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
(+ (- 1.0 z) (log z))
0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite64.0ms

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:
13.0ms
(+ (- 1.0 z) (log z))
8.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
41.0ms
(* y (+ (- 1.0 z) (log z)))

series293.0ms

Counts
3 → 9
Calls
3 calls:
159.0ms
(+ (- 1.0 z) (log z))
58.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
76.0ms
(* y (+ (- 1.0 z) (log z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0359419
11515371
25002370

prune161.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.2b
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
12×add-sqr-sqrt
10×pow1 add-cube-cbrt add-log-exp
9×cbrt-prod
8×distribute-lft-out
7×associate-*r*
6×add-exp-log associate-+r+ log-prod add-cbrt-cube
4×sum-log log-pow distribute-lft-out--
3×associate-+l+ associate-*l*
2×flip3-+ pow1/3 diff-log associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l- sub-neg distribute-lft-in pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 75
Calls
4 calls:
74.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
200.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series856.0ms

Counts
4 → 12
Calls
4 calls:
334.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
174.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
172.0ms
(cbrt z)
176.0ms
(cbrt z)

simplify49.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0317676
11327594
25002546

prune273.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (/ 1 z))
0.0b
(+ (- 1.0 z) (* -1 (log (/ 1 z))))
0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (* -1 (log (/ 1 z))))))
0.2b
(* y (+ (- 1.0 z) (* -1 (log (/ 1 z)))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
39×log-prod
29×add-sqr-sqrt
28×associate-+r+
27×add-cube-cbrt *-un-lft-identity times-frac
15×distribute-rgt-in distribute-lft-in
11×add-exp-log add-log-exp
8×pow1
6×add-cbrt-cube
4×rem-log-exp
3×flip3-+ associate-*r* associate-*l* log-rec sum-log log-pow flip-+ div-inv
2×+-commutative associate-+l+ mul-1-neg associate-*r/ div-exp unsub-neg distribute-rgt-neg-out
1×associate-+l- sub-neg log-div rec-exp pow-flip diff-log 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 109
Calls
4 calls:
2.0ms
(log (/ 1 z))
18.0ms
(+ (- 1.0 z) (* -1 (log (/ 1 z))))
8.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (* -1 (log (/ 1 z))))))
33.0ms
(* y (+ (- 1.0 z) (* -1 (log (/ 1 z)))))

series427.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(log (/ 1 z))
173.0ms
(+ (- 1.0 z) (* -1 (log (/ 1 z))))
58.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (* -1 (log (/ 1 z))))))
83.0ms
(* y (+ (- 1.0 z) (* -1 (log (/ 1 z)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0580835
12045677
25001611

prune304.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
0.6b
(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b
(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b
(cbrt (* y (+ (- 1.0 z) (log z))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
11.0ms
(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
10.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
13.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
10.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
125.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
131.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))
125.0ms
(cbrt (* y (+ (- 1.0 z) (log z))))

simplify81.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07711952
133661867
250021828

prune361.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes199.0ms

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
0238
1238

end0.0ms

sample989.0ms

Algorithm
intervals
Results
341.0ms9144×body80valid
266.0ms8992×body80nan