Details

Time bar (total: 17.1s)

sample150.0ms

Algorithm
intervals
Results
73.0ms256×body80valid
55.0ms256×body80nan

simplify62.0ms

Calls
1 calls:
Slowest
61.0ms
(* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize40.0ms

Local error

Found 3 expressions with local error:

1.0b
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.9b
(/ (acos (/ (- g) h)) 3)
0.0b
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×div-sub fma-udef
1×acos-asin acos-neg cos-sum clear-num frac-2neg distribute-frac-neg div-inv
Calls
3 calls:
Slowest
4.0ms
(/ (acos (/ (- g) h)) 3)
2.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
0.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))

series173.0ms

Calls
3 calls:
Slowest
121.0ms
(cos (fma 2/3 PI (/ (acos (/ (- g) h)) 3)))
34.0ms
(fma 2/3 PI (/ (acos (/ (- g) h)) 3))
17.0ms
(/ (acos (/ (- g) h)) 3)

simplify609.0ms

Calls
14 calls:
Slowest
84.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
64.0ms
(* 1/3 (acos (* -1 (/ g h))))
62.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
61.0ms
(+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI))
57.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune514.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))))
0.9b
(sqrt (acos (/ (- g) h)))
0.9b
(sqrt (acos (/ (- g) h)))
0.0b
(/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×times-frac
23×*-un-lft-identity add-cube-cbrt
21×sqrt-prod
8×div-inv
6×add-cbrt-cube add-exp-log associate-/l*
4×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2
1×cbrt-undiv cos-sum clear-num frac-2neg div-exp associate-/r/ fma-udef
Calls
4 calls:
Slowest
14.0ms
(/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))
4.0ms
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))))
2.0ms
(sqrt (acos (/ (- g) h)))
2.0ms
(sqrt (acos (/ (- g) h)))

series163.0ms

Calls
4 calls:
Slowest
128.0ms
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))))
16.0ms
(/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))
9.0ms
(sqrt (acos (/ (- g) h)))
9.0ms
(sqrt (acos (/ (- g) h)))

simplify2.5s

Calls
81 calls:
Slowest
264.0ms
(/ (* (* (sqrt (acos (/ (- g) h))) (sqrt (acos (/ (- g) h)))) (sqrt (acos (/ (- g) h)))) (* (* (/ 3 (sqrt (acos (/ (- g) h)))) (/ 3 (sqrt (acos (/ (- g) h))))) (/ 3 (sqrt (acos (/ (- g) h))))))
93.0ms
(/ (* (cbrt (sqrt (acos (/ (- g) h)))) (cbrt (sqrt (acos (/ (- g) h))))) (* (cbrt (/ 3 (sqrt (acos (/ (- g) h))))) (cbrt (/ 3 (sqrt (acos (/ (- g) h)))))))
79.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
62.0ms
(* 1/3 (acos (* -1 (/ g h))))
60.0ms
(/ (sqrt (sqrt (acos (/ (- g) h)))) (/ 1 (sqrt (acos (/ (- g) h)))))

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize35.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) 3) (sqrt (acos (/ (- g) h))))))
0.9b
(sqrt (acos (/ (- g) h)))
0.9b
(sqrt (acos (/ (- g) h)))
0.0b
(* (/ (sqrt (acos (/ (- g) h))) 3) (sqrt (acos (/ (- g) h))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt sqrt-prod
6×pow1 add-cbrt-cube associate-*r* add-exp-log
4×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2
1×cos-sum pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod fma-udef div-inv
Calls
4 calls:
Slowest
13.0ms
(* (/ (sqrt (acos (/ (- g) h))) 3) (sqrt (acos (/ (- g) h))))
5.0ms
(cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) 3) (sqrt (acos (/ (- g) h))))))
2.0ms
(sqrt (acos (/ (- g) h)))
2.0ms
(sqrt (acos (/ (- g) h)))

series172.0ms

Calls
4 calls:
Slowest
123.0ms
(cos (fma 2/3 PI (* (/ (sqrt (acos (/ (- g) h))) 3) (sqrt (acos (/ (- g) h))))))
19.0ms
(* (/ (sqrt (acos (/ (- g) h))) 3) (sqrt (acos (/ (- g) h))))
15.0ms
(sqrt (acos (/ (- g) h)))
15.0ms
(sqrt (acos (/ (- g) h)))

simplify1.5s

Calls
34 calls:
Slowest
596.0ms
(* (* (* (/ (sqrt (acos (/ (- g) h))) 3) (/ (sqrt (acos (/ (- g) h))) 3)) (/ (sqrt (acos (/ (- g) h))) 3)) (* (* (sqrt (acos (/ (- g) h))) (sqrt (acos (/ (- g) h)))) (sqrt (acos (/ (- g) h)))))
90.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
72.0ms
(+ (log (/ (sqrt (acos (/ (- g) h))) 3)) (log (sqrt (acos (/ (- g) h)))))
63.0ms
(* (cos (* 2/3 PI)) (cos (* (/ (sqrt (acos (/ (- g) h))) 3) (sqrt (acos (/ (- g) h))))))
60.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))))
0.9b
(sqrt (acos (/ (- g) h)))
0.9b
(sqrt (acos (/ (- g) h)))
0.0b
(/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×times-frac
23×*-un-lft-identity add-cube-cbrt
21×sqrt-prod
8×div-inv
6×add-cbrt-cube add-exp-log associate-/l*
4×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2
1×cbrt-undiv cos-sum clear-num frac-2neg div-exp associate-/r/ fma-udef
Calls
4 calls:
Slowest
10.0ms
(/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))
5.0ms
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))))
2.0ms
(sqrt (acos (/ (- g) h)))
2.0ms
(sqrt (acos (/ (- g) h)))

series194.0ms

Calls
4 calls:
Slowest
160.0ms
(cos (fma 2/3 PI (/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))))
15.0ms
(/ (sqrt (acos (/ (- g) h))) (/ 3 (sqrt (acos (/ (- g) h)))))
9.0ms
(sqrt (acos (/ (- g) h)))
9.0ms
(sqrt (acos (/ (- g) h)))

simplify2.6s

Calls
81 calls:
Slowest
267.0ms
(/ (* (* (sqrt (acos (/ (- g) h))) (sqrt (acos (/ (- g) h)))) (sqrt (acos (/ (- g) h)))) (* (* (/ 3 (sqrt (acos (/ (- g) h)))) (/ 3 (sqrt (acos (/ (- g) h))))) (/ 3 (sqrt (acos (/ (- g) h))))))
93.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
85.0ms
(cos (+ (* 1/3 (acos (* -1 (/ g h)))) (* 2/3 PI)))
77.0ms
(- (log (sqrt (acos (/ (- g) h)))) (log (/ 3 (sqrt (acos (/ (- g) h))))))
72.0ms
(/ (sqrt (sqrt (acos (/ (- g) h)))) (/ 1 (sqrt (acos (/ (- g) h)))))

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

regimes263.0ms

Accuracy

0% (0.0b remaining)

Error of 1.0b against oracle of 1.0b and baseline of 1.0b

bsearch5.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.0s8000×body80valid
1.4s7987×body80nan