Details

Time bar (total: 56.4s)

sample182.0ms

Algorithm
intervals
Results
135.0ms197×body1280valid
16.0ms265×body80valid
10.0ms27×body640valid
5.0ms23×body320valid
1.0ms4×body160valid

simplify48.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
48.0ms
(+ (- (exp x) 2) (exp (- x)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.3b

localize22.0ms

Local error

Found 3 expressions with local error:

2.7b
(- (- (exp x) 2) (/ -1 (exp x)))
0.0b
(/ -1 (exp x))
0.0b
(- (exp x) 2)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt
10×times-frac add-log-exp
5×add-cbrt-cube
4×diff-log add-exp-log distribute-lft-out--
3×pow1 associate-/r* sub-neg flip3-- insert-posit16 flip-- associate-/l* difference-of-squares
2×associate--l+ frac-sub
1×associate--l- cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 66
Calls
3 calls:
Slowest
56.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
8.0ms
(- (exp x) 2)
5.0ms
(/ -1 (exp x))

series124.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
101.0ms
(- (- (exp x) 2) (/ -1 (exp x)))
13.0ms
(- (exp x) 2)
9.0ms
(/ -1 (exp x))

simplify2.2s

Counts
53 → 75
Calls
53 calls:
Slowest
366.0ms
(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
264.0ms
(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
238.0ms
(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
122.0ms
(/ (exp (- (exp x) 2)) (exp (/ -1 (exp x))))
119.0ms
(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))

prune510.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (* x x))
0.1b
(* (* x x) (* x x))
0.1b
(* 1/12 (* (* x x) (* x x)))
0.1b
(* (* (* x x) (* x x)) (* x x))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
909×pow1
378×pow-prod-up
203×pow-prod-down
163×pow-plus
159×pow-sqr
102×pow2
87×add-cbrt-cube add-exp-log
60×prod-exp cbrt-unprod
6×add-sqr-sqrt associate-*l*
5×*-un-lft-identity add-cube-cbrt
4×associate-*r* *-commutative insert-posit16 add-log-exp unswap-sqr
2×swap-sqr
1×pow3
Counts
4 → 366
Calls
4 calls:
Slowest
88.0ms
(* (* (* x x) (* x x)) (* x x))
79.0ms
(* 1/12 (* (* x x) (* x x)))
39.0ms
(* (* x x) (* x x))
22.0ms
(* (* x x) (* x x))

series213.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
60.0ms
(* (* (* x x) (* x x)) (* x x))
59.0ms
(* (* x x) (* x x))
53.0ms
(* (* x x) (* x x))
41.0ms
(* 1/12 (* (* x x) (* x x)))

simplify17.2s

Counts
425 → 378
Calls
425 calls:
Slowest
1.3s
(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x)))
1.0s
(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* x x) x)))
699.0ms
(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
573.0ms
(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
430.0ms
(+ (+ (+ 1 1) (* 2 1)) (* 2 1))

prune3.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.1b
(log (exp (* (* x x) (* x x))))
0.1b
(* (* x x) (* x x))
0.1b
(* (* x x) (* x x))
0.1b
(* (* (* x x) (* x x)) (* x x))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
892×pow1
378×pow-prod-up
190×pow-prod-down
163×pow-plus
159×pow-sqr
102×pow2
69×add-cbrt-cube add-exp-log
47×prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
4×insert-posit16
3×log-prod associate-*r* associate-*l* log-pow *-commutative unswap-sqr
2×swap-sqr
1×exp-prod exp-to-pow rem-log-exp pow3
Counts
4 → 352
Calls
4 calls:
Slowest
88.0ms
(* (* (* x x) (* x x)) (* x x))
43.0ms
(* (* x x) (* x x))
33.0ms
(* (* x x) (* x x))
9.0ms
(log (exp (* (* x x) (* x x))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
85.0ms
(* (* (* x x) (* x x)) (* x x))
67.0ms
(* (* x x) (* x x))
62.0ms
(* (* x x) (* x x))
43.0ms
(log (exp (* (* x x) (* x x))))

simplify14.9s

Counts
411 → 364
Calls
411 calls:
Slowest
1.4s
(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x)))
1.1s
(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* x x) x)))
450.0ms
(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* x x) x) (* (* x x) x)))
425.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)))
418.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))

prune3.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.9b
(log (sqrt (exp (* (* x x) (* x x)))))
0.9b
(log (sqrt (exp (* (* x x) (* x x)))))
0.2b
(sqrt (exp (* (* x x) (* x x))))
0.2b
(sqrt (exp (* (* x x) (* x x))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt log-prod sqrt-pow1 sqrt-prod
10×pow1 *-un-lft-identity log-pow add-cube-cbrt
8×add-log-exp
6×add-exp-log
4×exp-prod add-cbrt-cube exp-to-pow pow1/2 insert-posit16
2×rem-sqrt-square rem-log-exp
Counts
4 → 72
Calls
4 calls:
Slowest
11.0ms
(log (sqrt (exp (* (* x x) (* x x)))))
11.0ms
(log (sqrt (exp (* (* x x) (* x x)))))
10.0ms
(sqrt (exp (* (* x x) (* x x))))
9.0ms
(sqrt (exp (* (* x x) (* x x))))

series2.0s

Counts
4 → 12
Calls
4 calls:
Slowest
1.2s
(log (sqrt (exp (* (* x x) (* x x)))))
667.0ms
(log (sqrt (exp (* (* x x) (* x x)))))
79.0ms
(sqrt (exp (* (* x x) (* x x))))
70.0ms
(sqrt (exp (* (* x x) (* x x))))

simplify4.6s

Counts
46 → 84
Calls
46 calls:
Slowest
312.0ms
(log (sqrt (sqrt (exp (* (* x x) (* x x))))))
272.0ms
(log (* (cbrt (sqrt (exp (* (* x x) (* x x))))) (cbrt (sqrt (exp (* (* x x) (* x x)))))))
263.0ms
(sqrt (* (cbrt (exp (* (* x x) (* x x)))) (cbrt (exp (* (* x x) (* x x))))))
257.0ms
(sqrt (exp (* (* x x) (* x x))))
254.0ms
(log (sqrt (* (cbrt (exp (* (* x x) (* x x)))) (cbrt (exp (* (* x x) (* x x)))))))

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
3.8s5683×body1280valid
921.0ms8150×body80valid
468.0ms1261×body640valid
208.0ms596×body320valid
44.0ms299×body160valid