Details

Time bar (total: 46.8s)

sample162.0ms

Algorithm
intervals
Results
31.0ms261×body80valid

simplify259.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
258.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize29.0ms

Local error

Found 2 expressions with local error:

19.6b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite91.0ms

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
44.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
43.0ms
(* (+ t1 u) (+ t1 u))

series140.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
113.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
26.0ms
(* (+ t1 u) (+ t1 u))

simplify7.8s

Counts
69 → 78
Calls
69 calls:
Slowest
898.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
829.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
822.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
792.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
330.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune651.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite71.0ms

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
36.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
18.0ms
(/ (- t1) (+ t1 u))
13.0ms
(/ v (+ t1 u))

series266.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
150.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
73.0ms
(/ (- t1) (+ t1 u))
42.0ms
(/ v (+ t1 u))

simplify6.1s

Counts
225 → 204
Calls
225 calls:
Slowest
499.0ms
(+ (log (/ (- t1) (+ t1 u))) (- (log v) (log (+ t1 u))))
495.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
364.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
350.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
298.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))

prune1.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.5b
(cbrt (+ t1 u))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 51
Calls
4 calls:
Slowest
3.0ms
(cbrt (+ t1 u))
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series937.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
309.0ms
(cbrt t1)
258.0ms
(cbrt t1)
220.0ms
(cbrt t1)
150.0ms
(cbrt (+ t1 u))

simplify1.2s

Counts
27 → 63
Calls
27 calls:
Slowest
338.0ms
(- (+ (* 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))))
143.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
134.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
120.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
109.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))

prune894.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
289×times-frac
248×*-un-lft-identity
185×add-sqr-sqrt
152×add-cube-cbrt
64×add-exp-log
53×associate-*r*
46×associate-*l* distribute-lft-out
34×add-cbrt-cube
30×div-exp
27×distribute-lft-neg-in distribute-rgt-neg-in
23×associate-/r*
17×associate-/l*
14×cbrt-undiv prod-exp
12×div-inv
10×unswap-sqr
9×neg-mul-1
7×pow1
6×rec-exp 1-exp associate-/r/ cbrt-unprod
4×insert-posit16 add-log-exp
3×clear-num frac-2neg flip3-+ flip-+
2×distribute-frac-neg associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 338
Calls
4 calls:
Slowest
68.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
20.0ms
(/ (- t1) (+ t1 u))
15.0ms
(/ (+ t1 u) v)
10.0ms
(/ 1 (/ (+ t1 u) v))

series369.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
177.0ms
(* (/ (- t1) (+ t1 u)) (/ 1 (/ (+ t1 u) v)))
108.0ms
(/ 1 (/ (+ t1 u) v))
48.0ms
(/ (- t1) (+ t1 u))
36.0ms
(/ (+ t1 u) v)

simplify20.5s

Counts
406 → 350
Calls
406 calls:
Slowest
468.0ms
(+ (log (/ (- t1) (+ t1 u))) (- 0 (- (log (+ t1 u)) (log v))))
456.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* 1 1) 1) (* (* (/ (+ t1 u) v) (/ (+ t1 u) v)) (/ (+ t1 u) v))))
445.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (- 0 (log (/ (+ t1 u) v))))
444.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* 1 1) 1) (/ (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* v v) v))))
427.0ms
(+ (log (/ (- t1) (+ t1 u))) (- (log 1) (- (log (+ t1 u)) (log v))))

prune3.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes241.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch9.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8269×body80valid