Details

Time bar (total: 15.7s)

sample23.0ms

Algorithm
intervals
Results
8.0ms188×body160valid
4.0ms68×body320valid
2.0ms256×pre80true

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01119
12818
29116
330016
494616
5233116
done500016

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.7b

localize7.0ms

Local error

Found 1 expressions with local error:

50.7b
(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:
0.0ms
(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

series118.0ms

Counts
1 → 3
Calls
1 calls:
118.0ms
(fma (fma t 2e-16 1.0) (fma t 2e-16 1.0) (- -1.0 (* 2.0 (* t 2e-16))))

simplify951.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
024228
139228
298196
3327196
41914196
done5002196

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
12.0ms
(* 3.9999999999999997e-32 (pow t 2))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* 3.9999999999999997e-32 (pow t 2))

simplify2.5s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune49.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r*
sqrt-prod
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u associate-*l* *-commutative log1p-expm1-u unpow2 add-log-exp sqr-pow
Counts
1 → 28
Calls
1 calls:
25.0ms
(* (* (fabs t) 3.9999999999999997e-32) (sqrt (pow t 2)))

series37.0ms

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

simplify5.0s

Counts
31 → 31
Iterations

Useful iterations: 4 (2.8s)

IterNodesCost
070357
1167319
2474202
31271202
44908201
done5000201

prune57.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
0.3b
(* (sqrt 3.9999999999999997e-32) (pow t 2))

rewrite47.0ms

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:
30.0ms
(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
15.0ms
(* (sqrt 3.9999999999999997e-32) (pow t 2))

series113.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* (sqrt 3.9999999999999997e-32) (* (sqrt 3.9999999999999997e-32) (pow t 2)))
47.0ms
(* (sqrt 3.9999999999999997e-32) (pow t 2))

simplify1.8s

Counts
66 → 66
Iterations

Useful iterations: done (1.8s)

IterNodesCost
078685
1170526
2521457
31792457
done5001448

prune89.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11313
done1313

end0.0ms

sample736.0ms

Algorithm
intervals
Results
437.0ms6007×body160valid
116.0ms1993×body320valid
63.0ms8000×pre80true