Details

Time bar (total: 1.1m)

sample197.0ms

Algorithm
intervals
Results
77.0ms85×body2560valid
48.0ms94×body1280valid
22.0ms321×body80nan
16.0ms41×body640valid
4.0ms16×body320valid
2.0ms13×body160valid
1.0ms7×body80valid

simplify9.7s

Counts
1 → 1
Iterations
IterNodes
done5000
84584
71214
6455
5218
4138
377
242
120
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 5.0 (* v v))
0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×acos-asin associate-*r* *-commutative unswap-sqr
Counts
2 → 31
Calls
2 calls:
36.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* 5.0 (* v v))
9.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify9.6s

Counts
37 → 37
Iterations
IterNodes
done5001
31210
2310
1119
057

prune251.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.1b
(* 5.0 (* v v))
0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×expm1-log1p-u add-cube-cbrt *-un-lft-identity
4×log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
1×acos-asin log1p-udef expm1-log1p log1p-expm1 associate-*r* *-commutative expm1-udef unswap-sqr
Counts
4 → 53
Calls
4 calls:
1.0ms
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
60.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
250.0ms
(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
52.0ms
(* 5.0 (* v v))
9.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify6.6s

Counts
65 → 65
Iterations
IterNodes
done5004
31264
2341
1152
079

prune542.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.9b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.9b
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 acos-asin pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
4.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
25.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
51.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
35.0ms
(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
17.0ms
(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify11.1s

Counts
103 → 103
Iterations
IterNodes
done5000
44418
3859
2313
1156
077

prune596.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

localize111.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
1.0b
(cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
1.0b
(cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
1.0b
(cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
24.0ms
(* (cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
2.0ms
(cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
2.0ms
(cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
2.0ms
(cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

series2.4s

Counts
4 → 12
Calls
4 calls:
660.0ms
(* (cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))) (cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))))
559.0ms
(cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
559.0ms
(cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))
643.0ms
(cbrt (expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

simplify5.6s

Counts
93 → 93
Iterations
IterNodes
done5000
42221
3706
2324
1141
067

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

regimes414.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample18.4s

Algorithm
intervals
Results
8.6s2949×body2560valid
4.6s2528×body1280valid
1.9s7939×body80nan
1.2s462×body160valid
838.0ms1168×body640valid
499.0ms680×body320valid
36.0ms213×body80valid