Details

Time bar (total: 35.3s)

sample291.0ms

Algorithm
intervals
Results
127.0ms93×body2560valid
69.0ms83×body1280valid
31.0ms254×body80nan
24.0ms39×body640valid
13.0ms26×body320valid
3.0ms10×body160valid
1.0ms5×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
63394
51102
4438
3170
263
123
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.2b
(* 5 (* v v))
0.3b
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×*-un-lft-identity
18×times-frac
15×add-cube-cbrt
10×add-cbrt-cube add-exp-log
8×pow1 difference-of-squares
6×associate-/r*
4×difference-of-sqr-1
3×associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 associate-/l* add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×acos-asin cbrt-undiv clear-num frac-2neg div-sub div-exp associate-*r* *-commutative div-inv unswap-sqr
Counts
3 → 74
Calls
3 calls:
22.0ms
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
26.0ms
(* 5 (* v v))
3.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
49.0ms
(* 5 (* v v))
3.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify5.9s

Counts
83 → 83
Iterations
IterNodes
35865
21237
1371
0148

prune753.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
0.0b
(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
0.2b
(* 5 (* v v))
0.3b
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-exp-log
9×add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity add-cube-cbrt
6×log-prod
4×exp-prod insert-posit16 add-log-exp
3×associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod
2×log-pow
1×acos-asin rem-log-exp associate-*r* *-commutative unswap-sqr rem-exp-log
Counts
4 → 58
Calls
4 calls:
2.0ms
(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
8.0ms
(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
14.0ms
(* 5 (* v v))
2.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

series158.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
3.0ms
(exp (log (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
42.0ms
(* 5 (* v v))
7.0ms
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))

simplify9.0s

Counts
70 → 70
Iterations
IterNodes
48035
31863
2462
1182
083

prune813.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (log (acos (/ (- 1 (log (exp (* 5 (* v v))))) (- (* v v) 1)))))
0.2b
(* 5 (* v v))
0.3b
(acos (/ (- 1 (log (exp (* 5 (* v v))))) (- (* v v) 1)))
2.0b
(log (exp (* 5 (* v v))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
9×add-sqr-sqrt add-cbrt-cube add-exp-log
8×*-un-lft-identity add-cube-cbrt
6×log-prod
5×exp-prod add-log-exp
4×log-pow insert-posit16
3×associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod
1×acos-asin exp-to-pow rem-log-exp associate-*r* *-commutative unswap-sqr rem-exp-log
Counts
4 → 60
Calls
4 calls:
6.0ms
(exp (log (acos (/ (- 1 (log (exp (* 5 (* v v))))) (- (* v v) 1)))))
23.0ms
(* 5 (* v v))
1.0ms
(acos (/ (- 1 (log (exp (* 5 (* v v))))) (- (* v v) 1)))
5.0ms
(log (exp (* 5 (* v v))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(exp (log (acos (/ (- 1 (log (exp (* 5 (* v v))))) (- (* v v) 1)))))
42.0ms
(* 5 (* v v))
6.0ms
(acos (/ (- 1 (log (exp (* 5 (* v v))))) (- (* v v) 1)))
44.0ms
(log (exp (* 5 (* v v))))

simplify3.0s

Counts
72 → 72
Iterations
IterNodes
44849
31503
2403
1180
095

prune789.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
11.0ms
(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
1.0ms
(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms
(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
1.0ms
(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

series778.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(* (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))) (cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))))
153.0ms
(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
162.0ms
(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))
181.0ms
(cbrt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))))

simplify2.2s

Counts
89 → 89
Iterations
IterNodes
43843
3964
2320
1136
062

prune610.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
210
110
09

end0.0ms

sample8.1s

Algorithm
intervals
Results
3.0s2954×body2560valid
2.5s2470×body1280valid
1.1s1301×body640valid
829.0ms7882×body80nan
244.0ms678×body320valid
95.0ms401×body160valid
25.0ms196×body80valid