Details

Time bar (total: 12.4s)Debug log

sample31.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
11.0ms299×body80nan

simplify1.0ms

Calls
1 calls:
Slowest
1.0ms
(/ a (- (acos a)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ a (- (acos a)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-/r*
4×add-cube-cbrt
4×*-un-lft-identity
4×add-sqr-sqrt
3×distribute-rgt-neg-in
3×distribute-lft-neg-in
1×add-log-exp
1×div-inv
1×log1p-expm1-u
1×add-exp-log
1×add-cbrt-cube
1×frac-2neg
1×neg-mul-1
1×clear-num
1×pow1
1×expm1-log1p-u
Calls
1 calls:
Slowest
1.0ms
(/ a (- (acos a)))

series14.0ms

Calls
1 calls:
Slowest
14.0ms
(/ a (- (acos a)))

simplify45.0ms

Calls
13 calls:
Slowest
21.0ms
(* -1 (/ a (acos a)))
8.0ms
(* -1 (/ a (acos a)))
8.0ms
(* -1 (/ a (acos a)))
1.0ms
(cbrt (- (acos a)))
1.0ms
(- (cbrt (acos a)))

prune231.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (- (acos a)) a)
0.3b
(/ 1 (/ (- (acos a)) a))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-/l*
6×add-cube-cbrt
6×*-un-lft-identity
6×add-sqr-sqrt
4×associate-/r*
3×div-inv
3×add-exp-log
3×distribute-rgt-neg-in
3×pow1
3×distribute-lft-neg-in
2×add-log-exp
2×log1p-expm1-u
2×add-cbrt-cube
2×frac-2neg
2×clear-num
2×expm1-log1p-u
1×inv-pow
1×pow-flip
1×associate-/r/
1×distribute-frac-neg
1×div-sub
1×neg-mul-1
1×rec-exp
1×neg-sub0
Calls
2 calls:
Slowest
7.0ms
(/ (- (acos a)) a)
2.0ms
(/ 1 (/ (- (acos a)) a))

series51.0ms

Calls
2 calls:
Slowest
26.0ms
(/ (- (acos a)) a)
25.0ms
(/ 1 (/ (- (acos a)) a))

simplify138.0ms

Calls
20 calls:
Slowest
18.0ms
(* -1 (/ (acos a) a))
17.0ms
(* -1 (/ (acos a) a))
16.0ms
(* -1 (/ a (acos a)))
16.0ms
(* -1 (/ a (acos a)))
16.0ms
(* -1 (/ (acos a) a))

prune349.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (/ 1 (- (acos a))) (/ 1 a))
0.0b
(/ 1 (- (acos a)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
15×add-cube-cbrt
15×*-un-lft-identity
15×add-sqr-sqrt
14×associate-/r*
12×div-inv
7×add-exp-log
4×associate-/l*
4×add-cbrt-cube
3×distribute-rgt-neg-in
3×pow1
3×distribute-lft-neg-in
2×add-log-exp
2×log1p-expm1-u
2×div-exp
2×frac-2neg
2×clear-num
2×rec-exp
2×expm1-log1p-u
1×associate-/l/
1×inv-pow
1×pow-flip
1×associate-/r/
1×neg-mul-1
1×cbrt-undiv
Calls
2 calls:
Slowest
8.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
3.0ms
(/ 1 (- (acos a)))

series25.0ms

Calls
2 calls:
Slowest
19.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
5.0ms
(/ 1 (- (acos a)))

simplify2.0s

Calls
58 calls:
Slowest
1.3s
(/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
96.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
79.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
78.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
72.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

prune496.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ 1 (- (acos a))) (/ 1 (- (acos a))))
1.0b
(cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))))
1.0b
(* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))
0.4b
(/ (cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))) (/ 1 a))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
42×add-exp-log
26×pow-prod-up
22×prod-exp
21×inv-pow
21×pow-flip
20×cbrt-div
19×associate-*l/
19×frac-times
17×add-cube-cbrt
17×*-un-lft-identity
17×rec-exp
17×add-sqr-sqrt
16×times-frac
12×add-cbrt-cube
10×associate-/l/
10×un-div-inv
10×associate-*r/
10×pow-prod-down
9×div-inv
8×associate-*r*
6×pow-plus
6×cbrt-prod
5×associate-*l*
4×add-log-exp
4×associate-/l*
4×log1p-expm1-u
4×cbrt-unprod
4×associate-/r*
4×expm1-log1p-u
3×pow2
2×*-commutative
2×pow3
1×rem-cbrt-cube
1×associate-/r/
1×div-exp
1×pow1/3
1×frac-2neg
1×clear-num
1×cbrt-undiv
Calls
4 calls:
Slowest
16.0ms
(* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))
10.0ms
(cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))))
6.0ms
(* (/ 1 (- (acos a))) (/ 1 (- (acos a))))
5.0ms
(/ (cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))) (/ 1 a))

series173.0ms

Calls
4 calls:
Slowest
86.0ms
(/ (cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))) (/ 1 a))
43.0ms
(cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))))
24.0ms
(* (/ 1 (- (acos a))) (/ 1 (- (acos a))))
20.0ms
(* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))

simplify6.0s

Calls
167 calls:
Slowest
920.0ms
(/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
511.0ms
(* (* (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))) (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))))
448.0ms
(* (* (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (* (/ 1 (- (acos a))) (/ 1 (- (acos a))))) (* (/ 1 (- (acos a))) (/ 1 (- (acos a))))) (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))))
147.0ms
(* (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))))
119.0ms
(/ (cbrt (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a))))) (/ 1 a))

prune1.4s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
641.0ms8000×body80valid
437.0ms8331×body80nan