Details

Time bar (total: 31.6s)

sample190.0ms

Algorithm
intervals
Results
63.0ms261×body80valid

simplify571.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
571.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize37.0ms

Local error

Found 2 expressions with local error:

19.6b
(/ (* (- 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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 76
Calls
2 calls:
Slowest
33.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
23.0ms
(* (+ t1 u) (+ t1 u))

series119.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
97.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
21.0ms
(* (+ t1 u) (+ t1 u))

simplify9.8s

Counts
69 → 82
Calls
69 calls:
Slowest
1.0s
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
927.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
913.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
884.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
695.0ms
(* (+ (pow t1 3) (pow u 3)) (+ t1 u))

prune758.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite80.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 201
Calls
3 calls:
Slowest
40.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
19.0ms
(/ (- t1) (+ t1 u))
16.0ms
(/ v (+ t1 u))

series313.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
193.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
74.0ms
(/ (- t1) (+ t1 u))
45.0ms
(/ v (+ t1 u))

simplify6.7s

Counts
225 → 210
Calls
225 calls:
Slowest
543.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
415.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
402.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
350.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
235.0ms
(+ (log (/ (- t1) (+ t1 u))) (- (log v) (log (+ t1 u))))

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize63.0ms

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×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls
4 calls:
Slowest
3.0ms
(cbrt (+ t1 u))
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
315.0ms
(cbrt t1)
299.0ms
(cbrt t1)
263.0ms
(cbrt t1)
193.0ms
(cbrt (+ t1 u))

simplify1.1s

Counts
27 → 71
Calls
27 calls:
Slowest
191.0ms
(- (+ (* 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))))
152.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
144.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
142.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
122.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
61×times-frac
51×add-sqr-sqrt
46×add-cube-cbrt
40×associate-*l*
18×distribute-lft-neg-in distribute-rgt-neg-in associate-*r*
17×distribute-lft-out
12×add-cbrt-cube add-exp-log
10×associate-/r/
8×associate-/r*
6×associate-/l*
5×pow1 flip3-+ flip-+ div-inv
3×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg prod-exp cbrt-unprod distribute-neg-frac unswap-sqr
1×distribute-lft-neg-out frac-times neg-mul-1 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 152
Calls
3 calls:
Slowest
49.0ms
(* (- (/ t1 (+ t1 u))) (/ v (+ t1 u)))
15.0ms
(/ t1 (+ t1 u))
14.0ms
(/ v (+ t1 u))

series256.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
160.0ms
(* (- (/ t1 (+ t1 u))) (/ v (+ t1 u)))
56.0ms
(/ t1 (+ t1 u))
39.0ms
(/ v (+ t1 u))

simplify4.5s

Counts
145 → 161
Calls
145 calls:
Slowest
394.0ms
(- (/ t1 (+ (pow t1 3) (pow u 3))))
385.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
313.0ms
(* (* (* (- (/ t1 (+ t1 u))) (- (/ t1 (+ t1 u)))) (- (/ t1 (+ t1 u)))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
310.0ms
(/ (* (* t1 t1) t1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
210.0ms
(* (* (* (- (/ t1 (+ t1 u))) (- (/ t1 (+ t1 u)))) (- (/ t1 (+ t1 u)))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (1.0b remaining)

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

bsearch12.0ms

end0.0ms

sample993.0ms

Algorithm
intervals
Results
714.0ms8269×body80valid