Details

Time bar (total: 1.5m)

sample222.0ms

Algorithm
intervals
Results
193.0ms476×body80valid

simplify510.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
510.0ms
(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: 0.0b

localize113.0ms

Local error

Found 4 expressions with local error:

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

rewrite681.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
75×add-cbrt-cube prod-exp
53×pow1
45×cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
13×div-exp
8×cbrt-undiv
6×pow-plus pow-prod-up
5×rec-exp 1-exp associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 149
Calls
4 calls:
Slowest
592.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
69.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
15.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series176.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
79.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
67.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify17.4s

Counts
115 → 159
Calls
115 calls:
Slowest
815.0ms
(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))))))
634.0ms
(+ (log (/ 1 5)) (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))))
601.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
593.0ms
(+ (log (/ 1 5)) (+ (log (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))))
462.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))

prune2.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

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

rewrite847.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
75×add-cbrt-cube prod-exp
53×pow1
45×cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
13×div-exp
8×cbrt-undiv
6×pow-plus pow-prod-up
5×rec-exp 1-exp associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 149
Calls
4 calls:
Slowest
741.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
66.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series212.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
100.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
72.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
40.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify17.1s

Counts
115 → 159
Calls
115 calls:
Slowest
620.0ms
(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) (* (* (* (* (pow (fabs x) 3) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
608.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
508.0ms
(+ (log (/ 1 5)) (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))))
493.0ms
(+ (- (log 1) (log 5)) (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))))
472.0ms
(+ (- 0 (log 5)) (+ (log (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))))

prune3.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

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)
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
25×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
18×times-frac
16×add-cbrt-cube add-exp-log
15×sqrt-prod
6×associate-/r* pow-plus associate-*r* pow-prod-down prod-exp pow-prod-up cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×pow2 associate-*l* pow-sqr *-commutative unswap-sqr
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp pow3 div-inv
Counts
4 → 111
Calls
4 calls:
Slowest
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
14.0ms
(* (* (fabs x) (fabs x)) 1/21)
5.0ms
(/ (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))
1.0ms
(sqrt PI)

series421.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
334.0ms
(/ (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))
47.0ms
(* (* (fabs x) (fabs x)) (fabs x))
41.0ms
(* (* (fabs x) (fabs x)) 1/21)
0.0ms
(sqrt PI)

simplify17.4s

Counts
96 → 121
Calls
96 calls:
Slowest
628.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
566.0ms
(/ (sqrt (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 (cbrt PI)))
563.0ms
(/ (* (cbrt (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)))) (cbrt (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 1))
558.0ms
(/ (sqrt (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))
535.0ms
(/ (sqrt (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 (sqrt PI)))

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
48×add-exp-log sqrt-prod
42×times-frac
33×*-un-lft-identity
32×associate-*l*
30×add-cbrt-cube add-cube-cbrt
19×prod-exp
16×associate-*r*
14×div-exp
13×pow1
11×cbrt-unprod
8×unswap-sqr
7×cbrt-undiv
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative fma-udef div-inv
1×distribute-rgt-in frac-times distribute-lft-in associate-*l/ associate-*r/
Counts
4 → 140
Calls
4 calls:
Slowest
38.0ms
(* (/ 1 (sqrt (sqrt PI))) (/ (* (fabs x) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2))) (sqrt (sqrt PI))))
23.0ms
(* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series358.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
294.0ms
(* (/ 1 (sqrt (sqrt PI))) (/ (* (fabs x) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2))) (sqrt (sqrt PI))))
64.0ms
(* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify22.1s

Counts
109 → 148
Calls
109 calls:
Slowest
1.4s
(* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (sqrt (sqrt PI)))) (/ (* (* (* (fabs x) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2))) (* (fabs x) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2)))) (* (fabs x) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2)))) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (sqrt (sqrt PI)))))
1.3s
(* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (sqrt (sqrt PI)))) (/ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2)) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2))) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2)))) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (sqrt (sqrt PI)))))
1.1s
(* (* (* (/ 1 (sqrt (sqrt PI))) (/ 1 (sqrt (sqrt PI)))) (/ 1 (sqrt (sqrt PI)))) (/ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2)) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2))) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2)))) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (sqrt (sqrt PI)))))
910.0ms
(* (* (* (/ 1 (sqrt (sqrt PI))) (/ 1 (sqrt (sqrt PI)))) (/ 1 (sqrt (sqrt PI)))) (/ (* (* (* (fabs x) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2))) (* (fabs x) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2)))) (* (fabs x) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2)))) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (sqrt (sqrt PI)))))
711.0ms
(* (/ (sqrt 1) (sqrt (sqrt (sqrt PI)))) (sqrt (/ (* (fabs x) (fma (* (* (fabs x) (fabs x)) (fma (* (fabs x) (fabs x)) 1/21 1/5)) (* (fabs x) (fabs x)) (fma 2/3 (* (fabs x) (fabs x)) 2))) (sqrt (sqrt PI)))))

prune2.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch10.0ms

end0.0ms

sample4.8s

Algorithm
intervals
Results
4.5s14035×body80valid