Details

Time bar (total: 41.4s)

sample82.0ms

Algorithm
intervals
Results
17.0ms265×body80valid

simplify238.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
238.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize18.0ms

Local error

Found 2 expressions with local error:

16.1b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite64.0ms

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
31.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
29.0ms
(* (+ t1 u) (+ t1 u))

series184.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
155.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
28.0ms
(* (+ t1 u) (+ t1 u))

simplify8.7s

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))))
864.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
740.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
632.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
362.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune784.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

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
52.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
18.0ms
(/ (- t1) (+ t1 u))
15.0ms
(/ v (+ t1 u))

series333.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
206.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
76.0ms
(/ (- t1) (+ t1 u))
51.0ms
(/ v (+ t1 u))

simplify6.5s

Counts
225 → 210
Calls
225 calls:
Slowest
498.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
421.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
341.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
319.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
208.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize41.0ms

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)

series997.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
306.0ms
(cbrt t1)
274.0ms
(cbrt t1)
254.0ms
(cbrt t1)
162.0ms
(cbrt (+ t1 u))

simplify1.1s

Counts
27 → 71
Calls
27 calls:
Slowest
181.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
165.0ms
(- (+ (* 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))))
149.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
146.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
111.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))

prune808.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

8.9b
(cbrt (/ (- t1) (+ t1 u)))
8.9b
(cbrt (/ (- t1) (+ t1 u)))
8.9b
(cbrt (/ (- t1) (+ t1 u)))
0.2b
(* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
429×*-un-lft-identity
398×cbrt-prod
350×times-frac
209×add-sqr-sqrt
185×add-cube-cbrt
108×distribute-rgt-neg-in
98×distribute-lft-out
96×distribute-lft-neg-in
81×swap-sqr
49×associate-*r* associate-*l*
32×neg-mul-1
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 386
Calls
4 calls:
Slowest
53.0ms
(* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u))))
9.0ms
(cbrt (/ (- t1) (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
406.0ms
(* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u))))
290.0ms
(cbrt (/ (- t1) (+ t1 u)))
262.0ms
(cbrt (/ (- t1) (+ t1 u)))
255.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify12.1s

Counts
447 → 398
Calls
447 calls:
Slowest
472.0ms
(cbrt (/ (- t1) (- (* t1 t1) (* u u))))
355.0ms
(cbrt (/ (- t1) (+ (pow t1 3) (pow u 3))))
343.0ms
(cbrt (/ (- t1) (+ (pow t1 3) (pow u 3))))
339.0ms
(* (cbrt -1) (exp (* 1/3 (- (log t1) (log u)))))
333.0ms
(* (cbrt -1) (exp (* 1/3 (- (log t1) (log u)))))

prune4.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.9b remaining)

Error of 1.1b against oracle of 0.2b and baseline of 1.1b

bsearch13.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
821.0ms8239×body80valid