Details

Time bar (total: 13.5s)

sample111.0ms

Algorithm
intervals
Results
60.0ms411×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (429.0ms)

IterNodesCost
01821
13821
211819
342219
4218818
done500018

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×*-un-lft-identity
16×associate-*l*
12×add-cube-cbrt
10×pow1 add-exp-log add-cbrt-cube
9×associate-*r*
6×associate-*l/ add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u distribute-lft-out--
3×fma-neg prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×sub-neg diff-log distribute-lft-out
Counts
4 → 93
Calls
4 calls:
28.0ms
(* (- y 1.0) z)
22.0ms
(* (- t 1.0) a)
13.0ms
(- x (* (- y 1.0) z))
141.0ms
(* (- (+ y t) 2.0) b)

series149.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (- y 1.0) z)
34.0ms
(* (- t 1.0) a)
45.0ms
(- x (* (- y 1.0) z))
35.0ms
(* (- (+ y t) 2.0) b)

simplify1.3s

Counts
105 → 105
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0179973
1412940
21753828
done5001819

prune517.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
46.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
9.0ms
(cbrt (- y 1.0))
8.0ms
(cbrt (- y 1.0))
8.0ms
(cbrt (- y 1.0))

series578.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
142.0ms
(cbrt (- y 1.0))
135.0ms
(cbrt (- y 1.0))
145.0ms
(cbrt (- y 1.0))

simplify1.1s

Counts
121 → 121
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01711613
14121453
215491384
done50001339

prune667.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite36.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
28.0ms
(* (cbrt a) (cbrt a))
2.0ms
(cbrt a)
2.0ms
(cbrt a)
2.0ms
(cbrt a)

series1.2s

Counts
4 → 12
Calls
4 calls:
291.0ms
(* (cbrt a) (cbrt a))
229.0ms
(cbrt a)
354.0ms
(cbrt a)
275.0ms
(cbrt a)

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
065554
1143443
2719423
done5000409

prune524.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02132
12732
done2732

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.9s12487×body80valid
1.0ms4×body640valid
0.0ms2×body160valid
0.0ms1×body1280valid
0.0ms1×body320valid