Details

Time bar (total: 23.1s)

sample244.0ms

Algorithm
intervals
Results
28.0ms261×body80valid

simplify761.0ms

Calls
1 calls:
Slowest
760.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize16.0ms

Local error

Found 2 expressions with local error:

17.6b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×flip3-+ flip-+
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
7×pow1
4×add-sqr-sqrt *-un-lft-identity associate-*l/ associate-*r/ add-cube-cbrt
3×associate-*r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 *-commutative pow-prod-up div-inv associate-/l*
Calls
2 calls:
Slowest
20.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
5.0ms
(* (+ t1 u) (+ t1 u))

series129.0ms

Calls
2 calls:
Slowest
113.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
16.0ms
(* (+ t1 u) (+ t1 u))

simplify5.1s

Calls
48 calls:
Slowest
672.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
533.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
383.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))
363.0ms
(* (- (* t1 t1) (* u u)) (+ (pow t1 3) (pow u 3)))
226.0ms
(* (- t1 u) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune536.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-*l*
10×add-cbrt-cube add-exp-log
8×associate-/r/
7×neg-mul-1
6×associate-/r* associate-*r*
5×pow1
4×flip3-+ flip-+ div-inv associate-/l*
3×insert-posit16 add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp prod-exp distribute-frac-neg cbrt-unprod
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
3 calls:
Slowest
14.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
10.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ v (+ t1 u))

series293.0ms

Calls
3 calls:
Slowest
188.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
59.0ms
(/ (- t1) (+ t1 u))
46.0ms
(/ v (+ t1 u))

simplify2.0s

Calls
82 calls:
Slowest
320.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
172.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (log (/ v (+ t1 u))))
158.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
124.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
103.0ms
(/ (- t1) (- (* t1 t1) (* u u)))

prune734.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ (- t1) (+ t1 u)) v)
0.6b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
23×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-*l*
11×add-exp-log
8×add-cbrt-cube associate-/r/
7×pow1 neg-mul-1
6×associate-/r* associate-*r*
4×flip3-+ associate-*l/ flip-+ insert-posit16 div-inv associate-/l* add-log-exp
3×distribute-lft-neg-out distribute-frac-neg
2×rec-exp clear-num frac-2neg prod-exp *-commutative
1×neg-sub0 frac-times cbrt-undiv div-sub div-exp pow-prod-down associate-*r/ un-div-inv cbrt-unprod pow-flip inv-pow
Calls
4 calls:
Slowest
13.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
7.0ms
(* (/ (- t1) (+ t1 u)) v)
4.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ 1 (+ t1 u))

series308.0ms

Calls
4 calls:
Slowest
124.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
84.0ms
(* (/ (- t1) (+ t1 u)) v)
62.0ms
(/ (- t1) (+ t1 u))
38.0ms
(/ 1 (+ t1 u))

simplify2.9s

Calls
89 calls:
Slowest
375.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (log (/ 1 (+ t1 u))))
358.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
290.0ms
(* (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
222.0ms
(* (* (- t1) v) (/ 1 (+ t1 u)))
207.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (- (log (+ t1 u))))

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

9.7b
(/ (* (- t1) v) (+ t1 u))
0.5b
(/ (/ (* (- t1) v) (+ t1 u)) (+ t1 u))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×associate-/r/
10×associate-/l*
9×add-cbrt-cube add-exp-log
6×associate-/r* flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
3×distribute-frac-neg
2×distribute-lft-neg-out pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/l/
Calls
2 calls:
Slowest
9.0ms
(/ (/ (* (- t1) v) (+ t1 u)) (+ t1 u))
6.0ms
(/ (* (- t1) v) (+ t1 u))

series196.0ms

Calls
2 calls:
Slowest
126.0ms
(/ (/ (* (- t1) v) (+ t1 u)) (+ t1 u))
70.0ms
(/ (* (- t1) v) (+ t1 u))

simplify7.0s

Calls
94 calls:
Slowest
546.0ms
(/ (/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
427.0ms
(/ (/ (* (- t1) v) (- (* t1 t1) (* u u))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u))))
292.0ms
(/ (/ (* (- t1) v) (+ (pow t1 3) (pow u 3))) (sqrt (+ t1 u)))
276.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
255.0ms
(/ (* (- t1) v) (- (* t1 t1) (* u u)))

prune651.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch5.0ms

end0.0ms

sample907.0ms

Algorithm
intervals
Results
746.0ms8233×body80valid