Details

Time bar (total: 12.6s)

sample24.0ms

Algorithm
intervals
Results
10.0ms275×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
91914
8811
7428
6259
5148
496
360
235
117
010

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
10.0b
(* (- y z) (/ t (- a z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*l*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 83
Calls
2 calls:
8.0ms
(/ t (- a z))
48.0ms
(* (- y z) (/ t (- a z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ t (- a z))
86.0ms
(* (- y z) (/ t (- a z)))

simplify789.0ms

Counts
89 → 89
Iterations
IterNodes
done5001
21674
1317
0130

prune529.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.6b
(* (cbrt (- a z)) (cbrt (- a z)))
4.7b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
57×*-un-lft-identity
55×cbrt-prod
38×associate-*r*
36×times-frac
31×add-cube-cbrt
30×cbrt-div
27×add-exp-log
25×associate-*l*
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
12×distribute-lft-out--
10×swap-sqr associate-/r/ difference-of-squares unswap-sqr
9×frac-times prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
5×associate-*l/ associate-*r/
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 163
Calls
4 calls:
5.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
38.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
112.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series699.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt (- a z))
193.0ms
(cbrt (- a z))
167.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
141.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify1.4s

Counts
175 → 175
Iterations
IterNodes
done5000
24116
1740
0263

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

10.1b
(/ (- y z) (/ (- a z) t))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
185×times-frac
151×add-sqr-sqrt *-un-lft-identity
75×add-cube-cbrt
38×distribute-lft-out-- difference-of-squares
19×associate-/r*
7×div-inv
6×add-cbrt-cube add-exp-log
5×associate-/l*
3×cbrt-undiv div-exp
2×associate-/l/
1×pow1 clear-num frac-2neg flip3-- div-sub associate-/r/ flip-- add-log-exp
Counts
1 → 137
Calls
1 calls:
31.0ms
(/ (- y z) (/ (- a z) t))

series120.0ms

Counts
1 → 3
Calls
1 calls:
119.0ms
(/ (- y z) (/ (- a z) t))

simplify897.0ms

Counts
140 → 140
Iterations
IterNodes
done5000
23408
1728
0228

prune526.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.2b
(* (/ (- y z) (- a z)) t)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 102
Calls
2 calls:
17.0ms
(/ (- y z) (- a z))
38.0ms
(* (/ (- y z) (- a z)) t)

series159.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- y z) (- a z))
107.0ms
(* (/ (- y z) (- a z)) t)

simplify558.0ms

Counts
108 → 108
Iterations
IterNodes
done5000
21456
1372
0143

prune570.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes480.0ms

Accuracy

79.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify6.0ms

Iterations
IterNodes
done35
235
133
022

end0.0ms

sample876.0ms

Algorithm
intervals
Results
491.0ms8711×body80valid
0.0ms1×body1280valid