Details

Time bar (total: 11.0s)

sample27.0ms

Algorithm
intervals
Results
13.0ms343×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 8 (646.0ms)

IterNodesCost
01417
12517
24617
37917
412117
518317
630917
771417
8283815
done500115

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2.0 (/ x y))
0.0b
(+ (/ 2.0 z) (* 1.0 2.0))
0.0b
(- (/ (+ (/ 2.0 z) (* 1.0 2.0)) t) (- 2.0 (/ x y)))
0.1b
(/ (+ (/ 2.0 z) (* 1.0 2.0)) t)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×*-un-lft-identity
13×add-log-exp
12×add-cube-cbrt
11×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 diff-log distribute-lft-out-- difference-of-squares
3×sub-neg flip3-- associate-/r* flip-- associate-/l*
2×flip3-+ frac-sub flip-+ associate-/l/ associate--r+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv associate--r-
Counts
4 → 77
Calls
4 calls:
6.0ms
(- 2.0 (/ x y))
8.0ms
(+ (/ 2.0 z) (* 1.0 2.0))
82.0ms
(- (/ (+ (/ 2.0 z) (* 1.0 2.0)) t) (- 2.0 (/ x y)))
28.0ms
(/ (+ (/ 2.0 z) (* 1.0 2.0)) t)

series144.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- 2.0 (/ x y))
34.0ms
(+ (/ 2.0 z) (* 1.0 2.0))
52.0ms
(- (/ (+ (/ 2.0 z) (* 1.0 2.0)) t) (- 2.0 (/ x y)))
42.0ms
(/ (+ (/ 2.0 z) (* 1.0 2.0)) t)

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: 3 (496.0ms)

IterNodesCost
01481414
13771340
210191258
332311246
done50001246

prune236.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

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×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:
7.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series753.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (cbrt t) (cbrt t))
180.0ms
(cbrt t)
188.0ms
(cbrt t)
180.0ms
(cbrt t)

simplify2.9s

Counts
85 → 85
Iterations

Useful iterations: 4 (931.0ms)

IterNodesCost
061524
1115417
2327397
31169379
43701374
done5000374

prune252.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (+ (/ 2.0 z) (* 1.0 2.0))) (cbrt (+ (/ 2.0 z) (* 1.0 2.0)))) (/ (cbrt (+ (/ 2.0 z) (* 1.0 2.0))) t))
0.8b
(cbrt (+ (/ 2.0 z) (* 1.0 2.0)))
0.8b
(cbrt (+ (/ 2.0 z) (* 1.0 2.0)))
0.8b
(cbrt (+ (/ 2.0 z) (* 1.0 2.0)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
22×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log frac-times
15×flip3-+ flip-+
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 100
Calls
4 calls:
93.0ms
(* (* (cbrt (+ (/ 2.0 z) (* 1.0 2.0))) (cbrt (+ (/ 2.0 z) (* 1.0 2.0)))) (/ (cbrt (+ (/ 2.0 z) (* 1.0 2.0))) t))
6.0ms
(cbrt (+ (/ 2.0 z) (* 1.0 2.0)))
6.0ms
(cbrt (+ (/ 2.0 z) (* 1.0 2.0)))
6.0ms
(cbrt (+ (/ 2.0 z) (* 1.0 2.0)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* (cbrt (+ (/ 2.0 z) (* 1.0 2.0))) (cbrt (+ (/ 2.0 z) (* 1.0 2.0)))) (/ (cbrt (+ (/ 2.0 z) (* 1.0 2.0))) t))
101.0ms
(cbrt (+ (/ 2.0 z) (* 1.0 2.0)))
104.0ms
(cbrt (+ (/ 2.0 z) (* 1.0 2.0)))
102.0ms
(cbrt (+ (/ 2.0 z) (* 1.0 2.0)))

simplify803.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (304.0ms)

IterNodesCost
01913296
15393163
217552646
done50012646

prune399.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2.0 (/ x y))
0.0b
(- (+ (/ 2.0 t) (/ 2.0 (* t z))) (- 2.0 (/ x y)))
0.0b
(+ (/ 2.0 t) (/ 2.0 (* t z)))
0.7b
(/ 2.0 (* t z))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-log-exp
13×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
7×diff-log distribute-lft-out--
6×add-cube-cbrt frac-sub
5×flip3-- flip--
4×pow1 times-frac distribute-lft-out
3×sub-neg flip3-+ frac-add sum-log flip-+ div-inv associate-/l* difference-of-squares
2×cbrt-undiv div-exp associate--r+
1×+-commutative frac-2neg prod-exp associate--l+ clear-num associate-/r* cbrt-unprod associate--r-
Counts
4 → 80
Calls
4 calls:
8.0ms
(- 2.0 (/ x y))
120.0ms
(- (+ (/ 2.0 t) (/ 2.0 (* t z))) (- 2.0 (/ x y)))
16.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
3.0ms
(/ 2.0 (* t z))

series138.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- 2.0 (/ x y))
56.0ms
(- (+ (/ 2.0 t) (/ 2.0 (* t z))) (- 2.0 (/ x y)))
46.0ms
(+ (/ 2.0 t) (/ 2.0 (* t z)))
21.0ms
(/ 2.0 (* t z))

simplify581.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
01591607
14711482
217211416
done50001416

prune203.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11415
done1415

end0.0ms

sample658.0ms

Algorithm
intervals
Results
395.0ms10423×body80valid