Details

Time bar (total: 32.2s)

sample112.0ms

Algorithm
intervals
Results
56.0ms478×body80valid

simplify9.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01819
13318
28717
325417
483617
5198317
6387617
7474917
done500017

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
0.0b
(- (* z t) (* (* c (fma c b a)) i))
0.1b
(* c (fma c b a))
9.7b
(* (* c (fma c b a)) i)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-udef
2×*-commutative
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in fma-neg diff-log prod-diff flip-- unswap-sqr
Counts
4 → 68
Calls
4 calls:
1.0ms
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
30.0ms
(- (* z t) (* (* c (fma c b a)) i))
15.0ms
(* c (fma c b a))
37.0ms
(* (* c (fma c b a)) i)

series1.1s

Counts
4 → 12
Calls
4 calls:
801.0ms
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
167.0ms
(- (* z t) (* (* c (fma c b a)) i))
47.0ms
(* c (fma c b a))
73.0ms
(* (* c (fma c b a)) i)

simplify4.2s

Counts
80 → 80
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01191053
12631007
2906887
34747862
done5000862

prune498.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y x (- (* z t) (* c (* (fma c b a) i))))
0.0b
(- (* z t) (* c (* (fma c b a) i)))
1.5b
(* (fma c b a) i)
5.6b
(* c (* (fma c b a) i))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×*-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- fma-udef unswap-sqr
Counts
4 → 66
Calls
4 calls:
1.0ms
(fma y x (- (* z t) (* c (* (fma c b a) i))))
24.0ms
(- (* z t) (* c (* (fma c b a) i)))
8.0ms
(* (fma c b a) i)
24.0ms
(* c (* (fma c b a) i))

series1.2s

Counts
4 → 12
Calls
4 calls:
838.0ms
(fma y x (- (* z t) (* c (* (fma c b a) i))))
182.0ms
(- (* z t) (* c (* (fma c b a) i)))
73.0ms
(* (fma c b a) i)
100.0ms
(* c (* (fma c b a) i))

simplify3.9s

Counts
78 → 78
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
01151034
1260990
2911870
34553846
done5000846

prune524.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.6b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
1.5b
(* (fma c b a) i)
2.5b
(* (cbrt c) (* (fma c b a) i))
3.3b
(* (* (cbrt c) (cbrt c)) (* (cbrt c) (* (fma c b a) i)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×pow1/3 unswap-sqr
Counts
4 → 86
Calls
4 calls:
2.0ms
(cbrt c)
15.0ms
(* (fma c b a) i)
34.0ms
(* (cbrt c) (* (fma c b a) i))
91.0ms
(* (* (cbrt c) (cbrt c)) (* (cbrt c) (* (fma c b a) i)))

series841.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt c)
51.0ms
(* (fma c b a) i)
392.0ms
(* (cbrt c) (* (fma c b a) i))
123.0ms
(* (* (cbrt c) (cbrt c)) (* (cbrt c) (* (fma c b a) i)))

simplify1.6s

Counts
98 → 98
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01321234
13081197
21175869
done5001759

prune494.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.6b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z t) (pow (* (* c i) (fma c b a)) 1))
0.0b
(fma y x (- (* z t) (pow (* (* c i) (fma c b a)) 1)))
4.3b
(* (* c i) (fma c b a))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-diff add-log-exp
3×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod fma-udef log1p-expm1-u
1×distribute-rgt-in sub-neg unpow-prod-down flip3-- distribute-lft-in fma-neg diff-log associate-*l* *-commutative flip-- sqr-pow
Counts
3 → 52
Calls
3 calls:
16.0ms
(- (* z t) (pow (* (* c i) (fma c b a)) 1))
0.0ms
(fma y x (- (* z t) (pow (* (* c i) (fma c b a)) 1)))
30.0ms
(* (* c i) (fma c b a))

series968.0ms

Counts
3 → 9
Calls
3 calls:
195.0ms
(- (* z t) (pow (* (* c i) (fma c b a)) 1))
700.0ms
(fma y x (- (* z t) (pow (* (* c i) (fma c b a)) 1)))
73.0ms
(* (* c i) (fma c b a))

simplify1.6s

Counts
61 → 61
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01301252
1297944
21127789
done5001743

prune254.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.6b

regimes739.0ms

Accuracy

0% (1.0b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01819
12417
done2417

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.0s15356×body80valid