Details

Time bar (total: 6.9s)

sample25.0ms

Algorithm
intervals
Results
9.0ms337×body80valid
0.0ms5×body640valid
0.0ms3×body1280valid
0.0ms3×body320valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0316
1926
23096
38805
416305
518725
618865
718865
done18865

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify120.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
05286
112075
247373
3427871
4500171
done500171

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.5b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.5b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.5b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
1.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

series2.2s

Counts
4 → 12
Calls
4 calls:
907.0ms
(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
442.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
428.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
431.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

simplify106.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
03721307
111601206
245331107
350011104
done50011104

prune323.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.5b
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.5b
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.5b
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
1.0ms
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
1.0ms
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
445.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
433.0ms
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
443.0ms
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
444.0ms
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

simplify63.0ms

Counts
73 → 73
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0310999
1765933
22214912
35002908
done5002908

prune353.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
0.1b
(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.1b
(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.3b
(* (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×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×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
1.0ms
(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms
(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
12.0ms
(* (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

series422.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
155.0ms
(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
152.0ms
(sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
59.0ms
(* (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (sqrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

simplify173.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0176815
1638717
23902677
35001677
done5001677

prune223.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125
done125

end0.0ms

sample695.0ms

Algorithm
intervals
Results
311.0ms10664×body80valid
13.0ms96×body1280valid
11.0ms108×body640valid
4.0ms50×body320valid
1.0ms26×body160valid