Details

Time bar (total: 13.0s)

sample35.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify27.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize15.0ms

Local error

Found 1 expressions with local error:

7.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
47.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.1s

Counts
53 → 53

prune171.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
30.0ms
(/ 1 (- 1.0 (/ y z)))
87.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series120.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ 1 (- 1.0 (/ y z)))
70.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.7s

Counts
103 → 103

prune333.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.7b

localize25.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
7.8b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.8b
(cbrt (/ 1 (- 1.0 (/ y z))))
7.8b
(cbrt (/ 1 (- 1.0 (/ y z))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
72×cbrt-prod
63×times-frac
55×*-un-lft-identity
35×add-cube-cbrt
18×difference-of-squares
15×cbrt-div
9×pow1 add-exp-log frac-times distribute-lft-out--
7×add-cbrt-cube
6×associate-*r/ associate-/r/
5×associate-*l/
4×flip3-+ associate-*l* flip-+ add-log-exp
3×flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 130
Calls
4 calls:
171.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
19.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
14.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
11.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

series1.3s

Counts
4 → 12
Calls
4 calls:
265.0ms
(* (+ x y) (* (cbrt (/ 1 (- 1.0 (/ y z)))) (cbrt (/ 1 (- 1.0 (/ y z))))))
336.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
365.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))
366.0ms
(cbrt (/ 1 (- 1.0 (/ y z))))

simplify1.3s

Counts
142 → 142

prune373.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ y z) 3)
3.6b
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
7.5b
(* (+ x y) (* (/ 1 (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z))))))
20.7b
(* (/ 1 (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

rewrite723.0ms

Algorithm
rewrite-expression-head
Rules
203×add-sqr-sqrt
143×times-frac
109×associate-*l*
91×*-un-lft-identity
72×difference-of-squares
67×unpow-prod-down cube-prod
58×add-cube-cbrt
31×add-exp-log sqr-pow
21×add-cbrt-cube
19×frac-times
17×associate-*r/
15×flip3-+ flip-+ distribute-lft-out--
13×prod-exp
12×pow1
7×associate-*l/ cbrt-unprod
6×add-log-exp
5×distribute-rgt-in distribute-lft-in div-exp
4×associate-*r* pow-prod-down
3×difference-cubes cbrt-undiv pow-unpow frac-add div-inv unswap-sqr
2×rec-exp 1-exp pow-exp associate-/r/ *-commutative rem-cube-cbrt
1×+-commutative cube-div cube-mult pow-to-exp distribute-rgt-out flip3-- pow-pow unpow3 sum-log flip-- distribute-lft-out
Counts
4 → 238
Calls
4 calls:
10.0ms
(pow (/ y z) 3)
15.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
301.0ms
(* (+ x y) (* (/ 1 (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z))))))
383.0ms
(* (/ 1 (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(pow (/ y z) 3)
62.0ms
(+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))
171.0ms
(* (+ x y) (* (/ 1 (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z))))))
91.0ms
(* (/ 1 (- (pow 1.0 3) (pow (/ y z) 3))) (+ (* 1.0 1.0) (+ (* (/ y z) (/ y z)) (* 1.0 (/ y z)))))

simplify753.0ms

Counts
250 → 250

prune911.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 5.7b

regimes213.0ms

Accuracy

0% (2.1b remaining)

Error of 7.7b against oracle of 5.7b and baseline of 7.7b

bsearch2.0ms

simplify1.2s

end0.0ms

sample729.0ms

Algorithm
intervals
Results
383.0ms7998×body80valid
0.0ms2×body160valid