Details

Time bar (total: 25.6s)

sample40.0ms

Algorithm
intervals
Results
15.0ms275×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
010205
117205
235205
363180
4106180
5179180
6329180
7674180
81293180
92492180
done5000180

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.3b
(fma (/ (- y z) (- a z)) t x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
31.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series187.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (- y z) (- a z))
116.0ms
(fma (/ (- y z) (- a z)) t x)

simplify2.6s

Counts
70 → 70
Iterations

Useful iterations: 2 (206.0ms)

IterNodesCost
011318029
126417105
283317025
3464517025
done500017025

prune469.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
1.3b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- div-inv flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×div-sub fma-udef pow-flip inv-pow
Counts
3 → 214
Calls
3 calls:
29.0ms
(/ (- a z) (- y z))
28.0ms
(/ 1 (/ (- a z) (- y z)))
1.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

series583.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/ (- a z) (- y z))
211.0ms
(/ 1 (/ (- a z) (- y z)))
301.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify2.1s

Counts
223 → 223
Iterations

Useful iterations: done (2.0s)

IterNodesCost
027082720
170366251
2406665660
done500064121

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 198
Calls
2 calls:
34.0ms
(/ (- a z) (- y z))
33.0ms
(/ t (/ (- a z) (- y z)))

series283.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ (- a z) (- y z))
206.0ms
(/ t (/ (- a z) (- y z)))

simplify2.1s

Counts
204 → 204
Iterations

Useful iterations: done (2.0s)

IterNodesCost
027478597
174373105
2385171475
done500171395

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.4b
(/ 1 (/ (/ (- a z) (- y z)) t))
2.0b
(/ (/ (- a z) (- y z)) t)

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×add-cbrt-cube div-exp
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp div-sub log1p-expm1-u add-log-exp associate-/l/
1×pow-flip inv-pow
Counts
3 → 617
Calls
3 calls:
40.0ms
(/ (- a z) (- y z))
58.0ms
(/ 1 (/ (/ (- a z) (- y z)) t))
44.0ms
(/ (/ (- a z) (- y z)) t)

series520.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ (- a z) (- y z))
272.0ms
(/ 1 (/ (/ (- a z) (- y z)) t))
157.0ms
(/ (/ (- a z) (- y z)) t)

simplify2.8s

Counts
626 → 626
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0709326831
12122274810
done5000266408

prune2.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes677.0ms

Accuracy

80% (0.3b remaining)

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

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
021682
124682
done24682

end0.0ms

sample1.2s

Algorithm
intervals
Results
516.0ms8711×body80valid
0.0ms1×body1280valid