Details

Time bar (total: 22.0s)

sample44.0ms

Algorithm
intervals
Results
22.0ms276×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
114203
101582
9731
8425
7258
6185
5149
4115
375
243
124
014

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (- b y) z y)
0.8b
(fma z (- t a) (* x y))
21.3b
(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (- b y) z y)
0.0ms
(fma z (- t a) (* x y))
6.0ms
(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

series575.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma (- b y) z y)
83.0ms
(fma z (- t a) (* x y))
437.0ms
(/ (fma z (- t a) (* x y)) (fma (- b y) z y))

simplify1.8s

Counts
58 → 58
Iterations
IterNodes
done5001
31102
2306
1134
077

prune550.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 17.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- b y) z y)
0.4b
(/ 1 (fma (- b y) z y))
0.8b
(fma z (- t a) (* x y))
21.0b
(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (- b y) z y)
7.0ms
(/ 1 (fma (- b y) z y))
0.0ms
(fma z (- t a) (* x y))
29.0ms
(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

series728.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(fma (- b y) z y)
113.0ms
(/ 1 (fma (- b y) z y))
68.0ms
(fma z (- t a) (* x y))
497.0ms
(* (fma z (- t a) (* x y)) (/ 1 (fma (- b y) z y)))

simplify2.4s

Counts
103 → 103
Iterations
IterNodes
done5000
32638
2699
1238
0114

prune947.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 17.8b

localize82.0ms

Local error

Found 4 expressions with local error:

13.1b
(cbrt (fma (- b y) z y))
13.1b
(cbrt (fma (- b y) z y))
13.1b
(cbrt (fma (- b y) z y))
21.0b
(* (fma z (- t a) (* x y)) (/ (/ 1 (* (cbrt (fma (- b y) z y)) (cbrt (fma (- b y) z y)))) (cbrt (fma (- b y) z y))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
70×times-frac
53×add-sqr-sqrt
46×associate-*r*
37×*-un-lft-identity
35×add-cube-cbrt
33×cbrt-prod
32×add-exp-log
13×add-cbrt-cube
11×div-exp prod-exp
7×div-inv unswap-sqr
6×pow1
5×cbrt-undiv cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×rec-exp 1-exp
1×pow-prod-down associate-*r/ *-commutative
Counts
4 → 119
Calls
4 calls:
1.0ms
(cbrt (fma (- b y) z y))
1.0ms
(cbrt (fma (- b y) z y))
2.0ms
(cbrt (fma (- b y) z y))
76.0ms
(* (fma z (- t a) (* x y)) (/ (/ 1 (* (cbrt (fma (- b y) z y)) (cbrt (fma (- b y) z y)))) (cbrt (fma (- b y) z y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt (fma (- b y) z y))
271.0ms
(cbrt (fma (- b y) z y))
240.0ms
(cbrt (fma (- b y) z y))
487.0ms
(* (fma z (- t a) (* x y)) (/ (/ 1 (* (cbrt (fma (- b y) z y)) (cbrt (fma (- b y) z y)))) (cbrt (fma (- b y) z y))))

simplify2.1s

Counts
131 → 131
Iterations
IterNodes
done5000
21668
1568
0213

prune987.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 17.8b

localize40.0ms

Local error

Found 4 expressions with local error:

8.1b
(/ (* (cbrt (fma z (- t a) (* x y))) (cbrt (fma z (- t a) (* x y)))) (/ (fma (- b y) z y) (cbrt (fma z (- t a) (* x y)))))
18.4b
(cbrt (fma z (- t a) (* x y)))
18.4b
(cbrt (fma z (- t a) (* x y)))
18.4b
(cbrt (fma z (- t a) (* x y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
33×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×cbrt-prod
22×associate-/r*
16×add-exp-log
10×add-cbrt-cube
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×pow1/3 div-inv
2×prod-exp cbrt-unprod
1×clear-num frac-2neg associate-/r/ associate-/l*
Counts
4 → 105
Calls
4 calls:
14.0ms
(/ (* (cbrt (fma z (- t a) (* x y))) (cbrt (fma z (- t a) (* x y)))) (/ (fma (- b y) z y) (cbrt (fma z (- t a) (* x y)))))
1.0ms
(cbrt (fma z (- t a) (* x y)))
1.0ms
(cbrt (fma z (- t a) (* x y)))
1.0ms
(cbrt (fma z (- t a) (* x y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
389.0ms
(/ (* (cbrt (fma z (- t a) (* x y))) (cbrt (fma z (- t a) (* x y)))) (/ (fma (- b y) z y) (cbrt (fma z (- t a) (* x y)))))
247.0ms
(cbrt (fma z (- t a) (* x y)))
254.0ms
(cbrt (fma z (- t a) (* x y)))
223.0ms
(cbrt (fma z (- t a) (* x y)))

simplify2.2s

Counts
117 → 117
Iterations
IterNodes
done5004
21672
1521
0189

prune1.0s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 17.8b

regimes1.2s

Accuracy

3.6% (4.9b remaining)

Error of 23.1b against oracle of 18.2b and baseline of 23.2b

bsearch52.0ms

Steps
ItersRangePoint
8
6.286560399161571e+121
2.157250222111853e+124
2.6930353958225412e+122

simplify2.0ms

Iterations
IterNodes
done16
116
015

end0.0ms

sample1.4s

Algorithm
intervals
Results
907.0ms8404×body80valid