Details

Time bar (total: 22.4s)

sample161.0ms

Algorithm
intervals
Results
85.0ms99×body2560valid
31.0ms74×body1280valid
13.0ms41×body640valid
12.0ms208×body80nan
5.0ms24×body320valid
1.0ms9×body160valid
1.0ms9×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
52053
4491
3180
267
126
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fma (* -5 v) v 1) (fma v v -1))
0.6b
(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×acos-asin cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
2 → 41
Calls
2 calls:
10.0ms
(/ (fma (* -5 v) v 1) (fma v v -1))
2.0ms
(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(/ (fma (* -5 v) v 1) (fma v v -1))
5.0ms
(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify2.2s

Counts
47 → 47
Iterations
IterNodes
done5000
31188
2395
1154
086

prune214.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1))) (/ (fma (* v -5) v 1) (fma v v -1)))
0.0b
(* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1)))
0.0b
(cbrt (* (* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1))) (/ (fma (* v -5) v 1) (fma v v -1))))
0.6b
(acos (cbrt (* (* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1))) (/ (fma (* v -5) v 1) (fma v v -1)))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
57×add-cbrt-cube add-exp-log
54×add-sqr-sqrt
50×times-frac
39×*-un-lft-identity add-cube-cbrt
30×pow1
26×associate-*r*
22×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
14×associate-*l*
13×swap-sqr
11×frac-times associate-*l/
7×cbrt-div pow-plus associate-*r/ pow-prod-up
6×unswap-sqr
5×div-inv
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow2 pow-sqr
2×pow3 *-commutative
1×cbrt-prod acos-asin pow1/3 rem-cbrt-cube
Counts
4 → 166
Calls
4 calls:
65.0ms
(* (* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1))) (/ (fma (* v -5) v 1) (fma v v -1)))
44.0ms
(* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1)))
75.0ms
(cbrt (* (* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1))) (/ (fma (* v -5) v 1) (fma v v -1))))
1.0ms
(acos (cbrt (* (* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1))) (/ (fma (* v -5) v 1) (fma v v -1)))))

series397.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1))) (/ (fma (* v -5) v 1) (fma v v -1)))
133.0ms
(* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1)))
101.0ms
(cbrt (* (* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1))) (/ (fma (* v -5) v 1) (fma v v -1))))
6.0ms
(acos (cbrt (* (* (/ (fma (* v -5) v 1) (fma v v -1)) (/ (fma (* v -5) v 1) (fma v v -1))) (/ (fma (* v -5) v 1) (fma v v -1)))))

simplify2.2s

Counts
178 → 178
Iterations
IterNodes
done5000
22055
1715
0239

prune892.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
0.9b
(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
0.9b
(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b
(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 acos-asin rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
1.0ms
(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
3.0ms
(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
3.0ms
(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
14.0ms
(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
14.0ms
(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
15.0ms
(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
3.0ms
(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

simplify3.3s

Counts
107 → 107
Iterations
IterNodes
done5003
42194
3525
2214
1128
072

prune453.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize57.0ms

Local error

Found 4 expressions with local error:

0.9b
(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b
(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (cbrt (* (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
1.0b
(* (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b
(cbrt (* (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
20×add-sqr-sqrt
14×sqrt-prod
11×add-cbrt-cube add-exp-log
10×*-un-lft-identity associate-*r* add-cube-cbrt
7×associate-*l*
6×pow-plus pow-prod-down pow-prod-up
5×unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/2
2×cbrt-prod pow2 pow3 pow-sqr *-commutative
1×rem-sqrt-square pow1/3 sqrt-unprod rem-cbrt-cube
Counts
4 → 94
Calls
4 calls:
3.0ms
(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
53.0ms
(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (cbrt (* (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
34.0ms
(* (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
14.0ms
(cbrt (* (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
4.0ms
(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (cbrt (* (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
55.0ms
(* (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
6.0ms
(cbrt (* (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

simplify3.3s

Counts
106 → 106
Iterations
IterNodes
done5000
42336
31055
2526
1222
0100

prune420.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

regimes70.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample6.0s

Algorithm
intervals
Results
3.0s2975×body2560valid
1.5s2516×body1280valid
553.0ms8095×body80nan
500.0ms1268×body640valid
155.0ms626×body320valid
73.0ms414×body160valid
19.0ms201×body80valid