Details

Time bar (total: 41.4s)

sample177.0ms

Algorithm
intervals
Results
83.0ms259×body80valid

simplify486.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
485.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize32.0ms

Local error

Found 2 expressions with local error:

20.1b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite104.0ms

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
52.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
49.0ms
(* (+ t1 u) (+ t1 u))

series132.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
115.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
16.0ms
(* (+ t1 u) (+ t1 u))

simplify8.9s

Counts
69 → 82
Calls
69 calls:
Slowest
953.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
916.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
805.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
736.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
447.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune749.0ms

Pruning

4 alts after pruning (4 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
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite68.0ms

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
39.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
16.0ms
(/ v (+ t1 u))
10.0ms
(/ (- t1) (+ t1 u))

series277.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
187.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
57.0ms
(/ (- t1) (+ t1 u))
33.0ms
(/ v (+ t1 u))

simplify6.5s

Counts
225 → 210
Calls
225 calls:
Slowest
480.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
405.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
392.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
376.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
200.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u)))
0.5b
(cbrt (+ t1 u))
0.5b
(cbrt (+ t1 u))
0.5b
(cbrt (+ t1 u))

rewrite65.0ms

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×expm1-log1p-u cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u 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 → 217
Calls
4 calls:
Slowest
52.0ms
(* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u)))
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))
3.0ms
(cbrt (+ t1 u))

series773.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
215.0ms
(* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ v (+ t1 u)))
206.0ms
(cbrt (+ t1 u))
178.0ms
(cbrt (+ t1 u))
173.0ms
(cbrt (+ t1 u))

simplify8.6s

Counts
191 → 229
Calls
191 calls:
Slowest
374.0ms
(* (* (* (/ (- (cbrt t1)) (cbrt (+ t1 u))) (/ (- (cbrt t1)) (cbrt (+ t1 u)))) (/ (- (cbrt t1)) (cbrt (+ t1 u)))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
335.0ms
(/ (- (cbrt t1)) (cbrt (+ (pow t1 3) (pow u 3))))
310.0ms
(+ (log (/ (- (cbrt t1)) (cbrt (+ t1 u)))) (- (log v) (log (+ t1 u))))
309.0ms
(* (/ (* (* (- (cbrt t1)) (- (cbrt t1))) (- (cbrt t1))) (+ t1 u)) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
306.0ms
(* -1 (* v (exp (* 1/3 (- (log t1) (* 4 (log u)))))))

prune3.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

2.0b
(* (/ (- t1) (+ t1 u)) v)
0.6b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
19×add-cbrt-cube add-exp-log
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp distribute-frac-neg cbrt-unprod
3×expm1-log1p-u flip3-+ associate-*r* flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*l/ unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 174
Calls
3 calls:
Slowest
41.0ms
(* (/ (- t1) (+ t1 u)) v)
30.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
13.0ms
(/ (- t1) (+ t1 u))

series327.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
174.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
102.0ms
(* (/ (- t1) (+ t1 u)) v)
50.0ms
(/ (- t1) (+ t1 u))

simplify5.9s

Counts
187 → 183
Calls
187 calls:
Slowest
549.0ms
(/ (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
494.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
436.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
249.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v))
193.0ms
(- (log (* (/ (- t1) (+ t1 u)) v)) (log (+ t1 u)))

prune1.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes201.0ms

Accuracy

0% (1.0b remaining)

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

bsearch17.0ms

end0.0ms

sample968.0ms

Algorithm
intervals
Results
729.0ms8219×body80valid