Details

Time bar (total: 1.6m)

sample146.0ms

Algorithm
intervals
Results
32.0ms259×body80valid

simplify300.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
300.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize28.0ms

Local error

Found 2 expressions with local error:

16.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite61.0ms

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
36.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
22.0ms
(* (+ t1 u) (+ t1 u))

series162.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
136.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
25.0ms
(* (+ t1 u) (+ t1 u))

simplify14.4s

Counts
91 → 78
Calls
91 calls:
Slowest
905.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
865.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
847.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
817.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
688.0ms
(/ (* (- t1) v) (* (+ (pow t1 3) (pow u 3)) (+ t1 u)))

prune697.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.9b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
68×times-frac
54×add-sqr-sqrt
46×associate-*l*
42×add-cube-cbrt
18×associate-*r*
17×distribute-lft-out
16×add-cbrt-cube add-exp-log
12×distribute-lft-neg-in distribute-rgt-neg-in
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 associate-/r* neg-mul-1 prod-exp cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv associate-/l*
2×insert-posit16 add-log-exp
1×distribute-lft-neg-out frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative
Counts
2 → 124
Calls
2 calls:
Slowest
40.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
11.0ms
(/ v (+ t1 u))

series207.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
178.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
28.0ms
(/ v (+ t1 u))

simplify14.5s

Counts
147 → 130
Calls
147 calls:
Slowest
547.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
416.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
356.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
353.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))))
333.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ (pow t1 3) (pow u 3))))

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

6.9b
(* (- t1) (/ v (+ t1 u)))
0.3b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 110
Calls
3 calls:
Slowest
29.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
18.0ms
(* (- t1) (/ v (+ t1 u)))
7.0ms
(/ v (+ t1 u))

series209.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
101.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
67.0ms
(* (- t1) (/ v (+ t1 u)))
41.0ms
(/ v (+ t1 u))

simplify12.0s

Counts
138 → 119
Calls
138 calls:
Slowest
744.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ (pow t1 3) (pow u 3)))
690.0ms
(* (* (* (- t1) (- t1)) (- t1)) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
515.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
511.0ms
(/ (* (* (* (- t1) (/ v (+ t1 u))) (* (- t1) (/ v (+ t1 u)))) (* (- t1) (/ v (+ t1 u)))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
395.0ms
(* (- t1) (/ v (+ (pow t1 3) (pow u 3))))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.9b
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
0.7b
(/ 1 (/ (+ t1 u) v))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
181×*-un-lft-identity
148×add-sqr-sqrt
115×add-cube-cbrt
58×add-exp-log
53×associate-*r*
46×associate-*l*
31×distribute-lft-out
28×add-cbrt-cube div-exp
16×associate-/r*
14×prod-exp
12×distribute-lft-neg-in cbrt-undiv distribute-rgt-neg-in
10×div-inv unswap-sqr
6×rec-exp 1-exp cbrt-unprod
5×pow1
4×neg-mul-1 associate-/r/
3×associate-/l*
2×insert-posit16 add-log-exp
1×distribute-lft-neg-out frac-times clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg un-div-inv *-commutative flip-+ pow-flip inv-pow
Counts
2 → 233
Calls
2 calls:
Slowest
54.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
10.0ms
(/ 1 (/ (+ t1 u) v))

series274.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
194.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
80.0ms
(/ 1 (/ (+ t1 u) v))

simplify48.1s

Counts
296 → 239
Calls
296 calls:
Slowest
820.0ms
(* (/ (sqrt (- t1)) (cbrt (+ t1 u))) (/ 1 (/ (+ t1 u) v)))
584.0ms
(+ (log (/ (- t1) (+ t1 u))) (- 0 (- (log (+ t1 u)) (log v))))
552.0ms
(* (/ (- t1) (+ t1 u)) (/ (sqrt 1) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt v) (cbrt v)))))
529.0ms
(* (/ (- t1) (+ t1 u)) (/ (sqrt 1) (* (cbrt (/ (+ t1 u) v)) (cbrt (/ (+ t1 u) v)))))
514.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ 1 (sqrt v))))

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch5.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
878.0ms8269×body80valid