Details

Time bar (total: 50.1s)

sample160.0ms

Algorithm
intervals
Results
30.0ms264×body80valid

simplify225.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
224.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize16.0ms

Local error

Found 2 expressions with local error:

18.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite77.0ms

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
43.0ms
(* (+ t1 u) (+ t1 u))
30.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
134.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
22.0ms
(* (+ t1 u) (+ t1 u))

simplify8.0s

Counts
69 → 78
Calls
69 calls:
Slowest
919.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
885.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
862.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
764.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
331.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune634.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))

rewrite67.0ms

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))
8.0ms
(/ v (+ t1 u))

series233.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
161.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
44.0ms
(/ (- t1) (+ t1 u))
27.0ms
(/ v (+ t1 u))

simplify5.9s

Counts
225 → 204
Calls
225 calls:
Slowest
454.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
384.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
366.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
353.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
169.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u)))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))
0.6b
(cbrt (+ t1 u))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
131×times-frac
127×*-un-lft-identity
120×cbrt-prod
118×associate-*l*
102×add-sqr-sqrt
83×add-cube-cbrt
42×distribute-lft-neg-in distribute-rgt-neg-in
22×distribute-lft-out
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
8×cbrt-div
7×neg-mul-1
6×pow1 unswap-sqr
5×flip3-+ flip-+
4×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp
3×pow1/3
2×div-inv
1×distribute-lft-neg-out frac-times pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative
Counts
4 → 209
Calls
4 calls:
Slowest
64.0ms
(* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u)))
2.0ms
(cbrt (+ t1 u))
2.0ms
(cbrt (+ t1 u))
2.0ms
(cbrt (+ t1 u))

series732.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
224.0ms
(* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u)))
185.0ms
(cbrt (+ t1 u))
162.0ms
(cbrt (+ t1 u))
161.0ms
(cbrt (+ t1 u))

simplify9.2s

Counts
191 → 221
Calls
191 calls:
Slowest
404.0ms
(- (+ (* 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))))
379.0ms
(* (* (* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ (- (cbrt t1)) (cbrt (+ t1 u)))) (/ (- (cbrt t1)) (cbrt (+ t1 u)))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
377.0ms
(pow (/ 1 t1) -1/3)
361.0ms
(- (+ (* 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))))
357.0ms
(- (+ (* 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))))

prune2.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
184×*-un-lft-identity
141×add-sqr-sqrt
120×add-cube-cbrt
53×associate-*l*
34×add-cbrt-cube add-exp-log
32×distribute-lft-out
23×associate-/r*
18×associate-*r*
14×cbrt-undiv div-exp
12×div-inv
10×associate-/l*
6×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×insert-posit16 add-log-exp
3×clear-num frac-2neg flip3-+ flip-+
2×associate-/l/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 253
Calls
4 calls:
Slowest
60.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
21.0ms
(/ -1 (/ (+ t1 u) t1))
14.0ms
(/ v (+ t1 u))
13.0ms
(/ (+ t1 u) t1)

series320.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
194.0ms
(* (/ -1 (/ (+ t1 u) t1)) (/ v (+ t1 u)))
43.0ms
(/ -1 (/ (+ t1 u) t1))
43.0ms
(/ v (+ t1 u))
40.0ms
(/ (+ t1 u) t1)

simplify15.9s

Counts
294 → 265
Calls
294 calls:
Slowest
561.0ms
(* (/ (* (* -1 -1) -1) (/ (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* t1 t1) t1))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
536.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt t1) (cbrt t1))))
531.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (+ t1 u)) (cbrt (+ t1 u))) (* (cbrt t1) (cbrt t1))))
451.0ms
(/ (* (* -1 -1) -1) (* (* (/ (+ t1 u) t1) (/ (+ t1 u) t1)) (/ (+ t1 u) t1)))
390.0ms
(* (* (* (/ -1 (/ (+ t1 u) t1)) (/ -1 (/ (+ t1 u) t1))) (/ -1 (/ (+ t1 u) t1))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))

prune2.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch18.0ms

end0.0ms

sample979.0ms

Algorithm
intervals
Results
779.0ms8250×body80valid