Details

Time bar (total: 19.9s)

sample30.0ms

Algorithm
intervals
Results
11.0ms198×body160valid
5.0ms58×body320valid
3.0ms256×pre80true

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01119
12818
29116
330016
494616
5233116
done500016

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.6b

localize26.0ms

Local error

Found 1 expressions with local error:

50.6b
(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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:
1.0ms
(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

series232.0ms

Counts
1 → 3
Calls
1 calls:
232.0ms
(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

simplify1.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
024228
139228
298196
3327196
41914196
done5002196

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 3.9999999999999997e-32 (pow t 2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
associate-*l* prod-exp add-cbrt-cube
unpow2 sqr-pow
pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
13.0ms
(* 3.9999999999999997e-32 (pow t 2))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* 3.9999999999999997e-32 (pow t 2))

simplify4.0s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune74.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
prod-exp
associate-*r*
add-cbrt-cube
add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity cbrt-unprod
pow-to-exp pow-exp
pow1 expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp sqr-pow
Counts
1 → 26
Calls
1 calls:
22.0ms
(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (* t 3.9999999999999997e-32) (pow t (/ 2 2)))

simplify2.9s

Counts
29 → 29
Iterations

Useful iterations: 3 (794.0ms)

IterNodesCost
059344
1149251
2438172
31545169
done5001169

prune45.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
0.3b
(* (sqrt 3.9999999999999997e-32) (pow t 2))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-exp-log
12×associate-*l*
10×prod-exp sqrt-prod
associate-*r* add-cbrt-cube
add-cube-cbrt *-un-lft-identity unswap-sqr
unpow-prod-down
pow1 cbrt-unprod
unpow2 sqr-pow
expm1-log1p-u pow-to-exp pow-exp *-commutative log1p-expm1-u add-log-exp
pow-prod-down
Counts
2 → 60
Calls
2 calls:
47.0ms
(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
16.0ms
(* (sqrt 3.9999999999999997e-32) (pow t 2))

series214.0ms

Counts
2 → 6
Calls
2 calls:
142.0ms
(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
72.0ms
(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify2.7s

Counts
66 → 66
Iterations

Useful iterations: done (2.7s)

IterNodesCost
078685
1170526
2521457
31792457
done5001448

prune165.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
079
1107
2125
done125

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s5981×body160valid
272.0ms2019×body320valid
117.0ms8000×pre80true