Details

Time bar (total: 17.0s)

sample36.0ms

Algorithm
intervals
Results
15.0ms341×body80valid

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done5001
133507
122216
111438
10920
9609
8462
7317
6187
5122
479
349
226
114
08

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 50
Calls
2 calls:
21.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- y x) t)
48.0ms
(fma (/ (- y x) t) z x)

simplify1.6s

Counts
56 → 56
Iterations
IterNodes
done5000
31512
2446
1199
093

prune281.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* z (/ x t)))
1.8b
(fma (/ z t) y (- x (* z (/ x t))))
4.7b
(* z (/ x t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r* add-cube-cbrt
10×times-frac
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*l* prod-diff log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*r/ *-commutative fma-udef div-inv flip--
Counts
3 → 64
Calls
3 calls:
6.0ms
(- x (* z (/ x t)))
0.0ms
(fma (/ z t) y (- x (* z (/ x t))))
17.0ms
(* z (/ x t))

series110.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- x (* z (/ x t)))
46.0ms
(fma (/ z t) y (- x (* z (/ x t))))
22.0ms
(* z (/ x t))

simplify933.0ms

Counts
73 → 73
Iterations
IterNodes
done5000
2916
1279
0119

prune472.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ z t) y x) (/ x (/ t z)))
1.8b
(fma (/ z t) y x)
5.9b
(/ x (/ t z))

rewrite53.0ms

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-cbrt-cube add-exp-log
5×add-log-exp
4×associate-/r/
3×expm1-log1p-u pow1 cbrt-undiv fma-neg div-exp log1p-expm1-u associate-/l* difference-of-squares
2×fma-udef
1×clear-num sub-neg frac-2neg flip3-- diff-log associate--l+ flip-- distribute-lft-out--
Counts
3 → 236
Calls
3 calls:
27.0ms
(- (fma (/ z t) y x) (/ x (/ t z)))
0.0ms
(fma (/ z t) y x)
11.0ms
(/ x (/ t z))

series125.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (fma (/ z t) y x) (/ x (/ t z)))
49.0ms
(fma (/ z t) y x)
26.0ms
(/ x (/ t z))

simplify2.2s

Counts
245 → 245
Iterations
IterNodes
done5000
24950
11350
0500

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(fma (/ z t) y (- x (* (/ z (* (cbrt t) (cbrt t))) (/ x (cbrt t)))))
4.0b
(* (/ z (* (cbrt t) (cbrt t))) (/ x (cbrt t)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×associate-*r*
21×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
17×cbrt-prod
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (/ z t) y (- x (* (/ z (* (cbrt t) (cbrt t))) (/ x (cbrt t)))))
63.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ x (cbrt t)))

series780.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt t)
295.0ms
(cbrt t)
110.0ms
(fma (/ z t) y (- x (* (/ z (* (cbrt t) (cbrt t))) (/ x (cbrt t)))))
85.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ x (cbrt t)))

simplify1.8s

Counts
109 → 109
Iterations
IterNodes
done5001
21954
1476
0163

prune770.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes463.0ms

Accuracy

26.4% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify5.0ms

Iterations
IterNodes
done24
124
019

end0.0ms

sample1.4s

Algorithm
intervals
Results
910.0ms10706×body80valid