Details

Time bar (total: 27.7s)

sample69.0ms

Algorithm
intervals
Results
24.0ms257×body80valid
22.0ms249×body80nan

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
3849
2162
146
019

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 6 (* (- v) v) 2)
0.0b
(fma 6 (* (- v) v) 2)
0.4b
(/ (/ (/ (fma (* v v) -5 1) PI) t) (fma (sqrt (fma 6 (* (- v) v) 2)) (* (- v) v) (sqrt (fma 6 (* (- v) v) 2))))
0.4b
(/ (/ (fma (* v v) -5 1) PI) t)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
230×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
56×associate-/l*
22×div-inv
18×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
6×associate-/r*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg fma-udef associate-/l/
Counts
4 → 290
Calls
4 calls:
0.0ms
(fma 6 (* (- v) v) 2)
0.0ms
(fma 6 (* (- v) v) 2)
17.0ms
(/ (/ (/ (fma (* v v) -5 1) PI) t) (fma (sqrt (fma 6 (* (- v) v) 2)) (* (- v) v) (sqrt (fma 6 (* (- v) v) 2))))
8.0ms
(/ (/ (fma (* v v) -5 1) PI) t)

series1.0s

Counts
4 → 12
Calls
4 calls:
95.0ms
(fma 6 (* (- v) v) 2)
93.0ms
(fma 6 (* (- v) v) 2)
721.0ms
(/ (/ (/ (fma (* v v) -5 1) PI) t) (fma (sqrt (fma 6 (* (- v) v) 2)) (* (- v) v) (sqrt (fma 6 (* (- v) v) 2))))
109.0ms
(/ (/ (fma (* v v) -5 1) PI) t)

simplify2.5s

Counts
302 → 302
Iterations
IterNodes
done5011
23319
11230
0538

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 6 (* (- v) v) 2)
0.0b
(log (exp (fma 6 (* (- v) v) 2)))
0.4b
(/ (/ (/ (fma (* v v) -5 1) PI) t) (fma (sqrt (fma 6 (* (- v) v) 2)) (* (- v) v) (sqrt (log (exp (fma 6 (* (- v) v) 2))))))
0.4b
(/ (/ (fma (* v v) -5 1) PI) t)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
232×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
56×associate-/l*
22×div-inv
18×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
6×associate-/r*
5×pow1
4×expm1-log1p-u log-prod log-pow insert-posit16 log1p-expm1-u add-log-exp
3×exp-prod
2×clear-num frac-2neg fma-udef associate-/l/
1×rem-log-exp exp-sum
Counts
4 → 298
Calls
4 calls:
0.0ms
(fma 6 (* (- v) v) 2)
2.0ms
(log (exp (fma 6 (* (- v) v) 2)))
11.0ms
(/ (/ (/ (fma (* v v) -5 1) PI) t) (fma (sqrt (fma 6 (* (- v) v) 2)) (* (- v) v) (sqrt (log (exp (fma 6 (* (- v) v) 2))))))
7.0ms
(/ (/ (fma (* v v) -5 1) PI) t)

series1.1s

Counts
4 → 12
Calls
4 calls:
65.0ms
(fma 6 (* (- v) v) 2)
86.0ms
(log (exp (fma 6 (* (- v) v) 2)))
779.0ms
(/ (/ (/ (fma (* v v) -5 1) PI) t) (fma (sqrt (fma 6 (* (- v) v) 2)) (* (- v) v) (sqrt (log (exp (fma 6 (* (- v) v) 2))))))
127.0ms
(/ (/ (fma (* v v) -5 1) PI) t)

simplify2.5s

Counts
310 → 310
Iterations
IterNodes
done5004
23345
11272
0566

prune2.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 6 (* (- v) v) 2)
0.0b
(fma 6 (* (- v) v) 2)
0.4b
(/ (/ (/ (fma (* v v) -5 1) PI) t) (fma (sqrt (fma 6 (* (- v) v) 2)) (* (- v) v) (sqrt (fma 6 (* (- v) v) 2))))
0.4b
(/ (/ (fma (* v v) -5 1) PI) t)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
230×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
56×associate-/l*
22×div-inv
18×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
6×associate-/r*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg fma-udef associate-/l/
Counts
4 → 290
Calls
4 calls:
0.0ms
(fma 6 (* (- v) v) 2)
0.0ms
(fma 6 (* (- v) v) 2)
19.0ms
(/ (/ (/ (fma (* v v) -5 1) PI) t) (fma (sqrt (fma 6 (* (- v) v) 2)) (* (- v) v) (sqrt (fma 6 (* (- v) v) 2))))
8.0ms
(/ (/ (fma (* v v) -5 1) PI) t)

series912.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(fma 6 (* (- v) v) 2)
84.0ms
(fma 6 (* (- v) v) 2)
638.0ms
(/ (/ (/ (fma (* v v) -5 1) PI) t) (fma (sqrt (fma 6 (* (- v) v) 2)) (* (- v) v) (sqrt (fma 6 (* (- v) v) 2))))
104.0ms
(/ (/ (fma (* v v) -5 1) PI) t)

simplify2.7s

Counts
302 → 302
Iterations
IterNodes
done5011
23319
11230
0538

prune2.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* v v) -6 2)
0.2b
(* (sqrt (fma (* v v) -6 2)) (* v v))
0.4b
(* (+ (sqrt (fma (* v v) -6 2)) (- (* (sqrt (fma (* v v) -6 2)) (* v v)))) t)
0.5b
(/ (/ (fma (* v v) -5 1) PI) (* (+ (sqrt (fma (* v v) -6 2)) (- (* (sqrt (fma (* v v) -6 2)) (* v v)))) t))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
26×add-sqr-sqrt
24×*-un-lft-identity
23×add-cbrt-cube add-exp-log
22×add-cube-cbrt
13×associate-/l*
11×pow1
10×associate-*l*
6×cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
3×div-inv unswap-sqr
2×flip3-+ associate-/r/ *-commutative flip-+
1×clear-num associate-/r* frac-2neg fma-udef distribute-lft-out associate-/l/
Counts
4 → 112
Calls
4 calls:
0.0ms
(fma (* v v) -6 2)
22.0ms
(* (sqrt (fma (* v v) -6 2)) (* v v))
26.0ms
(* (+ (sqrt (fma (* v v) -6 2)) (- (* (sqrt (fma (* v v) -6 2)) (* v v)))) t)
22.0ms
(/ (/ (fma (* v v) -5 1) PI) (* (+ (sqrt (fma (* v v) -6 2)) (- (* (sqrt (fma (* v v) -6 2)) (* v v)))) t))

series1.4s

Counts
4 → 12
Calls
4 calls:
76.0ms
(fma (* v v) -6 2)
146.0ms
(* (sqrt (fma (* v v) -6 2)) (* v v))
444.0ms
(* (+ (sqrt (fma (* v v) -6 2)) (- (* (sqrt (fma (* v v) -6 2)) (* v v)))) t)
685.0ms
(/ (/ (fma (* v v) -5 1) PI) (* (+ (sqrt (fma (* v v) -6 2)) (- (* (sqrt (fma (* v v) -6 2)) (* v v)))) t))

simplify2.2s

Counts
124 → 124
Iterations
IterNodes
done5030
22915
1770
0287

prune769.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done30
230
125
017

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s8001×body80valid
1.0s8045×body80nan