Details

Time bar (total: 1.8m)

sample168.0ms

Algorithm
intervals
Results
147.0ms471×body80valid

simplify521.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
520.0ms
(fabs (* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize95.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))

rewrite10.1s

Algorithm
rewrite-expression-head
Rules
257×add-exp-log
184×prod-exp
147×add-cbrt-cube
98×cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac div-exp
26×*-un-lft-identity add-cube-cbrt
15×cbrt-undiv
12×rec-exp 1-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l/ *-commutative sqrt-prod div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 193
Calls
4 calls:
Slowest
9.3s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
724.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
76.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series204.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
81.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
69.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
54.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify33.4s

Counts
152 → 203
Calls
152 calls:
Slowest
644.0ms
(+ (- (log 1) (log 21)) (+ (log (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))))
633.0ms
(+ (- (log 5)) (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))))
622.0ms
(+ (- (log 1) (log 21)) (log (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
569.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
545.0ms
(+ (- (log 21)) (+ (+ (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))

prune3.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* 1/21 (pow (fabs x) 7))
0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))

rewrite745.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
75×prod-exp
72×add-cbrt-cube
43×cbrt-unprod
34×pow1
29×associate-*l*
28×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
21×pow-prod-down
18×times-frac
13×div-exp
9×associate-*r*
8×cbrt-undiv
5×rec-exp 1-exp
4×expm1-log1p-u unpow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod unswap-sqr
2×associate-*l/ div-inv sqr-pow
1×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp
Counts
4 → 146
Calls
4 calls:
Slowest
678.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
48.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
13.0ms
(* 1/21 (pow (fabs x) 7))
1.0ms
(sqrt PI)

series248.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
93.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
89.0ms
(* 1/21 (pow (fabs x) 7))
66.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify17.2s

Counts
109 → 156
Calls
109 calls:
Slowest
532.0ms
(+ (log (/ 1 5)) (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))))
527.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
523.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
504.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
481.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))

prune3.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt (/ 1 21))
1.0b
(sqrt (/ 1 21))
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
31×times-frac
29×sqrt-prod
28×*-un-lft-identity
26×add-cube-cbrt
25×add-cbrt-cube add-exp-log
18×pow1
13×associate-*l*
12×prod-exp cbrt-unprod
7×rem-sqrt-square sqrt-pow1
6×pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/2 div-exp div-inv
2×sqrt-div pow-flip inv-pow
1×associate-*r* associate-*l/ *-commutative
Counts
4 → 119
Calls
4 calls:
Slowest
52.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
14.0ms
(sqrt (/ 1 21))
5.0ms
(sqrt (/ 1 21))
2.0ms
(sqrt PI)

series53.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
53.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt (/ 1 21))
0.0ms
(sqrt (/ 1 21))

simplify4.5s

Counts
74 → 125
Calls
74 calls:
Slowest
377.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
353.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
320.0ms
(+ (- (log 2) (log 3)) (log (* (* (fabs x) (fabs x)) (fabs x))))
315.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
278.0ms
(+ (- (log 2) (log 3)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))))

prune2.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.3b
(/ (fma (fabs x) (fma 2/3 (* (fabs x) (fabs x)) 2) (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5))) (sqrt PI))
0.2b
(* (* (fabs x) (fabs x)) 1/21)
0.2b
(* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5))

rewrite324.0ms

Algorithm
rewrite-expression-head
Rules
40×add-cbrt-cube add-exp-log
39×pow1
25×pow-prod-down prod-exp cbrt-unprod
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
18×times-frac
15×sqrt-prod
6×associate-/r* associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×associate-*l* associate-*r/ *-commutative
1×distribute-rgt-in cbrt-undiv rem-sqrt-square clear-num frac-2neg distribute-lft-in sqrt-pow1 flip3-+ pow1/2 div-exp flip-+ div-inv unswap-sqr
Counts
4 → 120
Calls
4 calls:
Slowest
272.0ms
(* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5))
37.0ms
(* (* (fabs x) (fabs x)) 1/21)
10.0ms
(/ (fma (fabs x) (fma 2/3 (* (fabs x) (fabs x)) 2) (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5))) (sqrt PI))
2.0ms
(sqrt PI)

series493.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
315.0ms
(/ (fma (fabs x) (fma 2/3 (* (fabs x) (fabs x)) 2) (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5))) (sqrt PI))
131.0ms
(* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5))
47.0ms
(* (* (fabs x) (fabs x)) 1/21)
0.0ms
(sqrt PI)

simplify25.3s

Counts
100 → 130
Calls
100 calls:
Slowest
740.0ms
(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (+ (* (* (fabs x) (fabs x)) 1/21) 1/5) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)))
721.0ms
(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (+ (* (* (fabs x) (fabs x)) 1/21) 1/5) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)))
720.0ms
(* (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (+ (* (* (fabs x) (fabs x)) 1/21) 1/5) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)))
714.0ms
(* (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (+ (* (* (fabs x) (fabs x)) 1/21) 1/5) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)))
697.0ms
(* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))) (* (* (+ (* (* (fabs x) (fabs x)) 1/21) 1/5) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)) (+ (* (* (fabs x) (fabs x)) 1/21) 1/5)))

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.2b remaining)

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

bsearch7.0ms

end0.0ms

sample5.0s

Algorithm
intervals
Results
4.8s14146×body80valid