Details

Time bar (total: 40.0s)

sample97.0ms

Algorithm
intervals
Results
17.0ms265×body80valid

simplify560.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
559.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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 u) (+ t1 u))
33.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
99.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
19.0ms
(* (+ t1 u) (+ t1 u))

simplify7.8s

Counts
69 → 78
Calls
69 calls:
Slowest
940.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
827.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
772.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
753.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
324.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune676.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite75.0ms

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
52.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
12.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ v (+ t1 u))

series305.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
186.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
73.0ms
(/ (- t1) (+ t1 u))
46.0ms
(/ v (+ t1 u))

simplify6.0s

Counts
225 → 204
Calls
225 calls:
Slowest
462.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
393.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
296.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
281.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
223.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (- (log v) (log (+ t1 u))))

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize67.0ms

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))

rewrite10.0ms

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
5.0ms
(cbrt (+ t1 u))
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
281.0ms
(cbrt t1)
277.0ms
(cbrt t1)
274.0ms
(cbrt t1)
175.0ms
(cbrt (+ t1 u))

simplify1.2s

Counts
27 → 63
Calls
27 calls:
Slowest
369.0ms
(- (+ (* 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))))
147.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
144.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
138.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))
109.0ms
(* (pow (* t1 -1) 1/3) (cbrt -1))

prune839.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize31.0ms

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))))

rewrite72.0ms

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×add-cbrt-cube insert-posit16 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 → 378
Calls
4 calls:
Slowest
40.0ms
(* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u))))
8.0ms
(cbrt (/ (- t1) (+ t1 u)))
4.0ms
(cbrt (/ (- t1) (+ t1 u)))
3.0ms
(cbrt (/ (- t1) (+ t1 u)))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
418.0ms
(* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u))))
295.0ms
(cbrt (/ (- t1) (+ t1 u)))
265.0ms
(cbrt (/ (- t1) (+ t1 u)))
230.0ms
(cbrt (/ (- t1) (+ t1 u)))

simplify11.5s

Counts
447 → 390
Calls
447 calls:
Slowest
459.0ms
(* (exp (* 1/3 (- (* 2 (log t1)) (* 2 (log u))))) (pow (cbrt -1) 2))
415.0ms
(* (cbrt -1) (exp (* 1/3 (- (log t1) (log u)))))
360.0ms
(cbrt (/ (- t1) (+ (pow t1 3) (pow u 3))))
337.0ms
(* (cbrt -1) (exp (* 1/3 (- (log t1) (log u)))))
336.0ms
(cbrt (/ (- t1) (+ (pow t1 3) (pow u 3))))

prune5.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.9b remaining)

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

bsearch18.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
838.0ms8239×body80valid