Details

Time bar (total: 5.5s)

sample104.0ms

Algorithm
intervals
Results
20.0ms266×body80valid

simplify121.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 70
Calls
2 calls:
40.0ms
(* (+ t1 u) (+ t1 u))
162.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(* (+ t1 u) (+ t1 u))
140.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify91.0ms

Counts
76 → 76

prune228.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
0.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite147.0ms

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-exp-log add-cbrt-cube
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×add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 192
Calls
3 calls:
21.0ms
(/ (- t1) (+ t1 u))
12.0ms
(/ v (+ t1 u))
95.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series304.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ (- t1) (+ t1 u))
31.0ms
(/ v (+ t1 u))
204.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify68.0ms

Counts
201 → 201

prune538.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.3b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
9.0b
(* (- t1) (/ v (+ t1 u)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ flip-+ div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*r/ clear-num unswap-sqr
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
11.0ms
(/ v (+ t1 u))
29.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
42.0ms
(* (- t1) (/ v (+ t1 u)))

series257.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ v (+ t1 u))
128.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
100.0ms
(* (- t1) (/ v (+ t1 u)))

simplify52.0ms

Counts
116 → 116

prune379.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(* (cbrt t1) (cbrt t1))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
19.0ms
(* (cbrt t1) (cbrt t1))

series1.2s

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt t1)
287.0ms
(cbrt t1)
261.0ms
(cbrt t1)
307.0ms
(* (cbrt t1) (cbrt t1))

simplify60.0ms

Counts
85 → 85

prune394.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify67.0ms

end0.0ms

sample905.0ms

Algorithm
intervals
Results
520.0ms8244×body80valid