Details

Time bar (total: 18.2s)

sample48.0ms

Algorithm
intervals
Results
14.0ms295×body80valid
11.0ms286×body80nan

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
12512
25112
310112
415612
520612
625012
736312
849712
962412
1067912
1168012
done68012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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)))

rewrite620.0ms

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:
59.0ms
(+ (- 1.0 z) (log z))
433.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
124.0ms
(* y (+ (- 1.0 z) (log z)))

series510.0ms

Counts
3 → 9
Calls
3 calls:
247.0ms
(+ (- 1.0 z) (log z))
116.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
146.0ms
(* y (+ (- 1.0 z) (log z)))

simplify986.0ms

Counts
70 → 70
Iterations

Useful iterations: 2 (219.0ms)

IterNodesCost
0132839
1359775
21203704
done5000704

prune247.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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)

rewrite916.0ms

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:
219.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
691.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.4s

Counts
4 → 12
Calls
4 calls:
562.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
256.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
294.0ms
(cbrt z)
269.0ms
(cbrt z)

simplify938.0ms

Counts
87 → 87
Iterations

Useful iterations: done (933.0ms)

IterNodesCost
01301128
13151093
21016902
done5001799

prune336.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 z) y)
0.0b
(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
0.1b
(+ (* (- 1.0 z) y) (* (log z) y))
0.3b
(* (log z) y)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×add-log-exp
10×*-un-lft-identity
9×pow1 associate-*l*
8×add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
4×sum-log
2×+-commutative flip3-+ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×associate-+r+ distribute-rgt-out flip3-- log-pow flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 66
Calls
4 calls:
37.0ms
(* (- 1.0 z) y)
34.0ms
(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
15.0ms
(+ (* (- 1.0 z) y) (* (log z) y))
14.0ms
(* (log z) y)

series367.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (- 1.0 z) y)
88.0ms
(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
137.0ms
(+ (* (- 1.0 z) y) (* (log z) y))
99.0ms
(* (log z) y)

simplify1.1s

Counts
78 → 78
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0144937
1393783
21456727
done5001722

prune294.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

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:
75.0ms
(* (cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z))))))
5.0ms
(cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z)))))
8.0ms
(cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z)))))
10.0ms
(cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z)))))

series4.0s

Counts
4 → 12
Calls
4 calls:
1.4s
(* (cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z))))))
900.0ms
(cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z)))))
908.0ms
(cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z)))))
827.0ms
(cbrt (+ (* 0.5 x) (* y (+ (- 1.0 z) (log z)))))

simplify1.1s

Counts
99 → 99
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01643269
13973058
212932850
done50012601

prune500.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes380.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01519
12119
done2119

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s9291×body80nan
720.0ms9186×body80valid