Details

Time bar (total: 31.7s)

sample192.0ms

Algorithm
intervals
Results
75.0ms758×body80nan
20.0ms180×body80valid
14.0ms22×body640valid
11.0ms10×body1280valid
10.0ms26×body320valid
4.0ms19×body160valid

simplify6.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12617
24917
311617
424117
550617
6103917
7161917
8205317
9215817
done215817

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.1b
(* (- x 1.0) (log y))
6.3b
(log (- 1.0 y))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
25×add-sqr-sqrt
23×*-un-lft-identity
13×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in add-log-exp
10×associate-+r+ associate-*l/
8×pow1
7×add-exp-log flip3-- flip--
6×associate-+l+ add-cbrt-cube
5×associate-*l* distribute-lft-out-- difference-of-squares
4×associate-*r* frac-add
2×log-div diff-log sum-log log-pow
1×+-commutative sub-neg flip3-+ rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 92
Calls
4 calls:
107.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
52.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
24.0ms
(* (- x 1.0) (log y))
9.0ms
(log (- 1.0 y))

series598.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
188.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
103.0ms
(* (- x 1.0) (log y))
60.0ms
(log (- 1.0 y))

simplify1.4s

Counts
104 → 104
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02511821
16291708
221321579
done50001556

prune511.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b
(* (- x 1.0) (log y))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
27×flip3-- flip--
25×add-sqr-sqrt
24×log-prod associate-*l/
22×*-un-lft-identity
16×distribute-rgt-in distribute-lft-in frac-add
15×add-cube-cbrt
12×frac-times associate--l+
10×associate-+r+ associate-*r* associate-*l*
9×pow1
7×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×add-log-exp
4×sub-neg distribute-lft-out--
3×difference-of-squares
2×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 113
Calls
3 calls:
94.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
34.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
39.0ms
(* (- x 1.0) (log y))

series373.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
198.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
91.0ms
(* (- x 1.0) (log y))

simplify2.3s

Counts
122 → 122
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02934405
18334046
241353901
done50003896

prune839.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite18.0ms

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:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
309.0ms
(* (cbrt y) (cbrt y))
289.0ms
(cbrt y)
265.0ms
(cbrt y)
277.0ms
(cbrt y)

simplify4.9s

Counts
85 → 85
Iterations

Useful iterations: done (4.9s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune653.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
5.0b
(pow (/ 1 y) -1/3)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod add-cube-cbrt *-un-lft-identity
13×pow1 unpow-prod-down
11×add-exp-log
9×times-frac
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×pow-exp add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow pow-pow
2×div-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp rec-exp pow-flip pow-plus 1-exp prod-exp *-commutative cbrt-unprod div-inv inv-pow sqr-pow
Counts
4 → 94
Calls
4 calls:
15.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(pow (/ 1 y) -1/3)

series1.1s

Counts
4 → 12
Calls
4 calls:
317.0ms
(* (cbrt y) (cbrt y))
253.0ms
(cbrt y)
257.0ms
(cbrt y)
263.0ms
(pow (/ 1 y) -1/3)

simplify2.1s

Counts
106 → 106
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0135788
1270620
2577592
31656570
done5001565

prune805.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes547.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03144
14144
done4144

end0.0ms

sample6.8s

Algorithm
intervals
Results
2.9s24052×body80nan
769.0ms5836×body80valid
565.0ms685×body320valid
426.0ms772×body640valid
424.0ms483×body160valid
292.0ms264×body1280valid