Details

Time bar (total: 22.3s)

sample162.0ms

Algorithm
intervals
Results
73.0ms804×body80nan
20.0ms257×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (112.0ms)

IterNodesCost
01011
12111
25211
312611
422310
529710
641410
750410
858710
959410
done59410

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma x (log y) (- (log t) z)) y)
0.0b
(- (log t) z)
0.1b
(fma x (log y) (- (log t) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
23×add-sqr-sqrt
21×prod-diff
19×add-cube-cbrt
8×pow1
7×fma-neg
6×add-log-exp
5×log-pow
4×associate--l+
3×add-exp-log expm1-log1p-u log-prod add-cbrt-cube log1p-expm1-u distribute-lft-out--
2×sub-neg flip3-- diff-log flip-- fma-udef difference-of-squares
Counts
3 → 75
Calls
3 calls:
14.0ms
(- (fma x (log y) (- (log t) z)) y)
13.0ms
(- (log t) z)
0.0ms
(fma x (log y) (- (log t) z))

series309.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(- (fma x (log y) (- (log t) z)) y)
114.0ms
(- (log t) z)
97.0ms
(fma x (log y) (- (log t) z))

simplify2.5s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01571257
13301037
2729872
33063756
done5000756

prune322.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log t) z)
0.1b
(fma x (log y) (- (log t) z))
0.5b
(cbrt (fma x (log y) (- (log t) z)))
0.7b
(pow (cbrt (fma x (log y) (- (log t) z))) 3)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
21×add-sqr-sqrt
19×add-cube-cbrt
12×prod-diff
10×pow1
9×cbrt-prod
6×unpow-prod-down cube-prod
5×add-exp-log log-pow add-log-exp
4×expm1-log1p-u fma-neg add-cbrt-cube log1p-expm1-u
3×pow-unpow log-prod associate--l+
2×pow-pow pow1/3 distribute-lft-out--
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp flip-- fma-udef rem-cube-cbrt difference-of-squares sqr-pow
Counts
4 → 91
Calls
4 calls:
10.0ms
(- (log t) z)
0.0ms
(fma x (log y) (- (log t) z))
1.0ms
(cbrt (fma x (log y) (- (log t) z)))
8.0ms
(pow (cbrt (fma x (log y) (- (log t) z))) 3)

series1.3s

Counts
4 → 12
Calls
4 calls:
117.0ms
(- (log t) z)
113.0ms
(fma x (log y) (- (log t) z))
635.0ms
(cbrt (fma x (log y) (- (log t) z)))
484.0ms
(pow (cbrt (fma x (log y) (- (log t) z))) 3)

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02201814
15781526
218331308
done50001252

prune440.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma x (log y) (- (log t) z)))
0.1b
(fma x (log y) (- (log t) z))
0.1b
(fma x (log y) (- (log t) z))
0.2b
(* (sqrt (fma x (log y) (- (log t) z))) (sqrt (fma x (log y) (- (log t) z))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
3.0ms
(sqrt (fma x (log y) (- (log t) z)))
1.0ms
(fma x (log y) (- (log t) z))
1.0ms
(fma x (log y) (- (log t) z))
26.0ms
(* (sqrt (fma x (log y) (- (log t) z))) (sqrt (fma x (log y) (- (log t) z))))

series736.0ms

Counts
4 → 12
Calls
4 calls:
423.0ms
(sqrt (fma x (log y) (- (log t) z)))
117.0ms
(fma x (log y) (- (log t) z))
88.0ms
(fma x (log y) (- (log t) z))
108.0ms
(* (sqrt (fma x (log y) (- (log t) z))) (sqrt (fma x (log y) (- (log t) z))))

simplify2.9s

Counts
98 → 98
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01271817
12741265
27821126
329941062
done50011004

prune511.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x (log y) (- (log t) z))
0.1b
(fma x (log y) (- (log t) z))
0.2b
(* (sqrt (fma x (log y) (- (log t) z))) (* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z))))))
0.2b
(* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z)))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
83×sqrt-pow1
71×sqrt-prod
65×pow1
52×add-sqr-sqrt
43×pow1/2
39×pow-prod-up
18×add-cube-cbrt *-un-lft-identity
17×swap-sqr
15×associate-*l*
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube unswap-sqr
10×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative fma-udef
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 145
Calls
4 calls:
0.0ms
(fma x (log y) (- (log t) z))
0.0ms
(fma x (log y) (- (log t) z))
54.0ms
(* (sqrt (fma x (log y) (- (log t) z))) (* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z))))))
40.0ms
(* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z)))))

series690.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(fma x (log y) (- (log t) z))
129.0ms
(fma x (log y) (- (log t) z))
111.0ms
(* (sqrt (fma x (log y) (- (log t) z))) (* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z))))))
371.0ms
(* (sqrt (sqrt (fma x (log y) (- (log t) z)))) (sqrt (sqrt (fma x (log y) (- (log t) z)))))

simplify2.9s

Counts
157 → 157
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01863851
13911925
210441739
338931660
done50001657

prune614.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes246.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
done910

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.5s24589×body80nan
1.3s8036×body80valid
0.0ms1×body160valid