Details

Time bar (total: 20.6s)

sample98.0ms

Algorithm
intervals
Results
68.0ms619×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
54328
41635
3521
2171
153
018

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0))
0.1b
(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
0.1b
(* a (fma (- 1.0 a) a (* b b)))
0.3b
(pow (fma b b (* a a)) 2.0)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
3×pow-unpow unpow-prod-down associate-*r* associate-*l*
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 61
Calls
4 calls:
0.0ms
(fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0))
0.0ms
(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
8.0ms
(* a (fma (- 1.0 a) a (* b b)))
4.0ms
(pow (fma b b (* a a)) 2.0)

series708.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0))
76.0ms
(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
74.0ms
(* a (fma (- 1.0 a) a (* b b)))
429.0ms
(pow (fma b b (* a a)) 2.0)

simplify1.7s

Counts
73 → 73
Iterations
IterNodes
done5004
32632
2759
1284
0127

prune469.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- 1.0 a) a (* b b))) (cbrt (fma (- 1.0 a) a (* b b))))
0.6b
(cbrt (fma (- 1.0 a) a (* b b)))
0.6b
(cbrt (fma (- 1.0 a) a (* b b)))
0.6b
(cbrt (fma (- 1.0 a) a (* b b)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
9.0ms
(* (cbrt (fma (- 1.0 a) a (* b b))) (cbrt (fma (- 1.0 a) a (* b b))))
1.0ms
(cbrt (fma (- 1.0 a) a (* b b)))
1.0ms
(cbrt (fma (- 1.0 a) a (* b b)))
1.0ms
(cbrt (fma (- 1.0 a) a (* b b)))

series1.4s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (cbrt (fma (- 1.0 a) a (* b b))) (cbrt (fma (- 1.0 a) a (* b b))))
397.0ms
(cbrt (fma (- 1.0 a) a (* b b)))
346.0ms
(cbrt (fma (- 1.0 a) a (* b b)))
326.0ms
(cbrt (fma (- 1.0 a) a (* b b)))

simplify1.8s

Counts
93 → 93
Iterations
IterNodes
done5000
44515
31437
2606
1256
0111

prune582.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (cbrt (fma (- 1.0 a) a (* b b)))) (cbrt (cbrt (fma (- 1.0 a) a (* b b)))))
0.6b
(cbrt (cbrt (fma (- 1.0 a) a (* b b))))
0.6b
(cbrt (cbrt (fma (- 1.0 a) a (* b b))))
0.6b
(cbrt (cbrt (fma (- 1.0 a) a (* b b))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
12.0ms
(* (cbrt (cbrt (fma (- 1.0 a) a (* b b)))) (cbrt (cbrt (fma (- 1.0 a) a (* b b)))))
1.0ms
(cbrt (cbrt (fma (- 1.0 a) a (* b b))))
1.0ms
(cbrt (cbrt (fma (- 1.0 a) a (* b b))))
1.0ms
(cbrt (cbrt (fma (- 1.0 a) a (* b b))))

series1.2s

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (cbrt (cbrt (fma (- 1.0 a) a (* b b)))) (cbrt (cbrt (fma (- 1.0 a) a (* b b)))))
313.0ms
(cbrt (cbrt (fma (- 1.0 a) a (* b b))))
312.0ms
(cbrt (cbrt (fma (- 1.0 a) a (* b b))))
305.0ms
(cbrt (cbrt (fma (- 1.0 a) a (* b b))))

simplify2.0s

Counts
116 → 116
Iterations
IterNodes
done5000
44538
31598
2682
1289
0136

prune811.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))) (cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))))
10.7b
(cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))))
10.7b
(cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))))
10.7b
(cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
8.0ms
(* (cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))) (cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))))
1.0ms
(cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))))
1.0ms
(cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))))
1.0ms
(cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
318.0ms
(* (cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))) (cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))))
254.0ms
(cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))))
253.0ms
(cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))))
254.0ms
(cbrt (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))))

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5001
32487
2895
1367
0149

prune582.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes115.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done26
126
022

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.0s20448×body80valid