Details

Time bar (total: 51.9s)

sample106.0ms

Algorithm
intervals
Results
17.0ms264×body80valid

simplify369.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
368.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize26.0ms

Local error

Found 2 expressions with local error:

18.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×swap-sqr add-cube-cbrt distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
2×insert-posit16 add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 72
Calls
2 calls:
Slowest
31.0ms
(* (+ t1 u) (+ t1 u))
23.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
106.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
18.0ms
(* (+ t1 u) (+ t1 u))

simplify7.4s

Counts
69 → 78
Calls
69 calls:
Slowest
880.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
844.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
764.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
685.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
301.0ms
(* (+ (pow t1 3) (pow u 3)) (- (* t1 t1) (* u u)))

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

1.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-cbrt-cube add-exp-log
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×insert-posit16 add-log-exp
2×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 195
Calls
3 calls:
Slowest
61.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
9.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ v (+ t1 u))

series282.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
186.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
52.0ms
(/ (- t1) (+ t1 u))
44.0ms
(/ v (+ t1 u))

simplify5.9s

Counts
225 → 204
Calls
225 calls:
Slowest
522.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
420.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
376.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
279.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
173.0ms
(+ (log (/ (- t1) (+ t1 u))) (- (log v) (log (+ t1 u))))

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u)))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
131×times-frac
127×*-un-lft-identity
120×cbrt-prod
118×associate-*l*
102×add-sqr-sqrt
83×add-cube-cbrt
42×distribute-lft-neg-in distribute-rgt-neg-in
22×distribute-lft-out
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
8×cbrt-div
7×neg-mul-1
6×pow1 unswap-sqr
5×flip3-+ flip-+
4×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp
3×pow1/3
2×div-inv
1×distribute-lft-neg-out frac-times pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative
Counts
4 → 209
Calls
4 calls:
Slowest
77.0ms
(* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u)))
5.0ms
(cbrt (+ t1 u))
5.0ms
(cbrt (+ t1 u))
5.0ms
(cbrt (+ t1 u))

series739.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
240.0ms
(* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u)))
175.0ms
(cbrt (+ t1 u))
166.0ms
(cbrt (+ t1 u))
157.0ms
(cbrt (+ t1 u))

simplify9.3s

Counts
191 → 221
Calls
191 calls:
Slowest
503.0ms
(- (+ (* 1/3 (* (pow (/ 1 (pow u 2)) 1/3) t1)) (pow u 1/3)) (* 1/9 (* (pow (/ 1 (pow u 5)) 1/3) (pow t1 2))))
501.0ms
(- (+ (* 1/3 (* (pow (/ 1 (pow u 2)) 1/3) t1)) (pow u 1/3)) (* 1/9 (* (pow (/ 1 (pow u 5)) 1/3) (pow t1 2))))
440.0ms
(- (+ (* 1/3 (* (pow (/ 1 (pow u 2)) 1/3) t1)) (pow u 1/3)) (* 1/9 (* (pow (/ 1 (pow u 5)) 1/3) (pow t1 2))))
388.0ms
(/ (- (cbrt t1)) (cbrt (+ (pow t1 3) (pow u 3))))
368.0ms
(* (* (* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ (- (cbrt t1)) (cbrt (+ t1 u)))) (/ (- (cbrt t1)) (cbrt (+ t1 u)))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))

prune3.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
0.8b
(/ -1 (/ (+ t1 u) t1))
0.0b
(/ v (+ t1 u))
0.0b
(/ (+ t1 u) t1)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
184×*-un-lft-identity
141×add-sqr-sqrt
120×add-cube-cbrt
53×associate-*l*
34×add-cbrt-cube add-exp-log
32×distribute-lft-out
23×associate-/r*
18×associate-*r*
14×cbrt-undiv div-exp
12×div-inv
10×associate-/l*
6×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×insert-posit16 add-log-exp
3×clear-num frac-2neg flip3-+ flip-+
2×associate-/l/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 253
Calls
4 calls:
Slowest
49.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
14.0ms
(/ (+ t1 u) t1)
13.0ms
(/ -1 (/ (+ t1 u) t1))
9.0ms
(/ v (+ t1 u))

series336.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
194.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
54.0ms
(/ -1 (/ (+ t1 u) t1))
44.0ms
(/ v (+ t1 u))
44.0ms
(/ (+ t1 u) t1)

simplify16.9s

Counts
294 → 265
Calls
294 calls:
Slowest
714.0ms
(/ (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* t1 t1) t1))
598.0ms
(* (/ (* (* -1 -1) -1) (/ (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* t1 t1) t1))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
538.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt t1) (cbrt t1))))
500.0ms
(/ (* (* -1 -1) -1) (* (* (/ (+ t1 u) t1) (/ (+ t1 u) t1)) (/ (+ t1 u) t1)))
480.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt t1) (cbrt t1))))

prune2.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch15.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
843.0ms8250×body80valid