Details

Time bar (total: 1.1m)

sample49.0ms

Algorithm
intervals
Results
21.0ms356×body80valid

simplify11.9s

Counts
1 → 1
Iterations
IterNodes
done5001
143663
132854
122092
111387
10865
9576
8443
7319
6187
5122
479
349
226
114
08

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
4.7b
(fma (/ (- y x) t) z x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
34.0ms
(/ (- y x) t)
1.0ms
(fma (/ (- y x) t) z x)

series126.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- y x) t)
68.0ms
(fma (/ (- y x) t) z x)

simplify13.8s

Counts
56 → 56
Iterations
IterNodes
done5000
44961
31487
2442
1199
093

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ x (/ t z)))
1.6b
(fma (/ z t) y (- x (/ x (/ t z))))
4.9b
(/ x (/ t z))

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
204×add-sqr-sqrt
197×*-un-lft-identity
195×add-cube-cbrt
132×prod-diff
17×div-inv
13×associate-/r*
8×add-exp-log add-cbrt-cube
5×add-log-exp
4×associate-/r/
3×pow1 cbrt-undiv expm1-log1p-u fma-neg div-exp log1p-expm1-u associate-/l* difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 235
Calls
3 calls:
264.0ms
(- x (/ x (/ t z)))
1.0ms
(fma (/ z t) y (- x (/ x (/ t z))))
26.0ms
(/ x (/ t z))

series517.0ms

Counts
3 → 9
Calls
3 calls:
368.0ms
(- x (/ x (/ t z)))
83.0ms
(fma (/ z t) y (- x (/ x (/ t z))))
65.0ms
(/ x (/ t z))

simplify9.4s

Counts
244 → 244
Iterations
IterNodes
done5000
24962
11353
0501

prune4.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* x (/ 1 (/ t z))))
0.6b
(/ 1 (/ t z))
1.6b
(fma (/ z t) y (- x (* x (/ 1 (/ t z)))))
4.5b
(* x (/ 1 (/ t z)))

rewrite432.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
98×add-sqr-sqrt
86×*-un-lft-identity
84×add-cube-cbrt
44×associate-*r*
34×add-exp-log
18×add-cbrt-cube
14×div-exp
13×associate-/r*
9×div-inv
7×pow1 prod-exp
6×cbrt-undiv add-log-exp
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
3×fma-neg associate-*l* prod-diff cbrt-unprod associate-/l*
2×associate-/r/
1×sub-neg flip3-- pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative flip-- fma-udef inv-pow
Counts
4 → 183
Calls
4 calls:
21.0ms
(- x (* x (/ 1 (/ t z))))
52.0ms
(/ 1 (/ t z))
1.0ms
(fma (/ z t) y (- x (* x (/ 1 (/ t z)))))
322.0ms
(* x (/ 1 (/ t z)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- x (* x (/ 1 (/ t z))))
16.0ms
(/ 1 (/ t z))
80.0ms
(fma (/ z t) y (- x (* x (/ 1 (/ t z)))))
349.0ms
(* x (/ 1 (/ t z)))

simplify6.1s

Counts
195 → 195
Iterations
IterNodes
done5000
21671
1680
0265

prune5.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize362.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ x (/ t z))
10.7b
(cbrt (/ x (/ t z)))
10.7b
(cbrt (/ x (/ t z)))
10.7b
(cbrt (/ x (/ t z)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
273×times-frac
151×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
132×cbrt-prod
17×div-inv
13×associate-/r*
9×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp associate-/l*
1×frac-2neg clear-num
Counts
4 → 237
Calls
4 calls:
27.0ms
(/ x (/ t z))
18.0ms
(cbrt (/ x (/ t z)))
12.0ms
(cbrt (/ x (/ t z)))
12.0ms
(cbrt (/ x (/ t z)))

series945.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ x (/ t z))
332.0ms
(cbrt (/ x (/ t z)))
235.0ms
(cbrt (/ x (/ t z)))
288.0ms
(cbrt (/ x (/ t z)))

simplify5.6s

Counts
249 → 249
Iterations
IterNodes
done5000
33858
21112
1515
0263

prune3.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes774.0ms

Accuracy

42.9% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.9b

bsearch2.0ms

simplify7.0ms

Iterations
IterNodes
done25
125
023

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s10699×body80valid