Details

Time bar (total: 11.9s)

sample30.0ms

Algorithm
intervals
Results
13.0ms275×body80valid

simplify99.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize15.0ms

Local error

Found 2 expressions with local error:

1.9b
(* y (+ 1.0 (* z z)))
3.1b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
18.0ms
(* y (+ 1.0 (* z z)))
18.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series152.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* y (+ 1.0 (* z z)))
79.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify643.0ms

Counts
76 → 76

prune187.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.1b

localize16.0ms

Local error

Found 2 expressions with local error:

2.3b
(* (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))))
3.3b
(/ (/ (sqrt 1.0) x) (+ 1.0 (* z z)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
299×times-frac
199×add-sqr-sqrt
152×add-cube-cbrt *-un-lft-identity
79×sqrt-prod
72×associate-*r*
28×add-exp-log add-cbrt-cube
22×associate-*l* associate-/l*
12×cbrt-undiv div-exp unswap-sqr
10×div-inv
6×prod-exp cbrt-unprod
4×pow1 associate-/r/
3×associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 238
Calls
2 calls:
108.0ms
(* (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))))
29.0ms
(/ (/ (sqrt 1.0) x) (+ 1.0 (* z z)))

series325.0ms

Counts
2 → 6
Calls
2 calls:
177.0ms
(* (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))))
148.0ms
(/ (/ (sqrt 1.0) x) (+ 1.0 (* z z)))

simplify454.0ms

Counts
244 → 244

prune814.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.0b

localize10.0ms

Local error

Found 2 expressions with local error:

2.2b
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
3.3b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
58×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
10×associate-/r/
9×cbrt-undiv div-exp
6×associate-/r*
5×flip3-+ flip-+
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 272
Calls
2 calls:
52.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
21.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
81.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify601.0ms

Counts
278 → 278

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 (sqrt (+ 1.0 (* z z)))) (/ (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))) y))
1.6b
(/ (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))) y)
14.3b
(sqrt (+ 1.0 (* z z)))
14.3b
(sqrt (+ 1.0 (* z z)))

rewrite455.0ms

Algorithm
rewrite-expression-head
Rules
1513×times-frac
783×add-sqr-sqrt
678×*-un-lft-identity
672×add-cube-cbrt
305×sqrt-prod
256×associate-*r*
84×associate-/l*
69×add-exp-log
52×div-inv
45×add-cbrt-cube
39×div-exp
24×associate-*l* unswap-sqr
22×cbrt-undiv
20×sqrt-div
16×associate-/r/
12×prod-exp
10×flip3-+ flip-+
8×pow1 cbrt-unprod
4×add-log-exp
3×rec-exp 1-exp associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 724
Calls
4 calls:
260.0ms
(* (/ 1.0 (sqrt (+ 1.0 (* z z)))) (/ (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))) y))
73.0ms
(/ (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))) y)
11.0ms
(sqrt (+ 1.0 (* z z)))
11.0ms
(sqrt (+ 1.0 (* z z)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (/ 1.0 (sqrt (+ 1.0 (* z z)))) (/ (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))) y))
94.0ms
(/ (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))) y)
49.0ms
(sqrt (+ 1.0 (* z z)))
68.0ms
(sqrt (+ 1.0 (* z z)))

simplify1.3s

Counts
736 → 736

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.0b

regimes125.0ms

Accuracy

-38.3% (1.6b remaining)

Error of 6.2b against oracle of 4.6b and baseline of 5.7b

bsearch0.0ms

simplify1.3s

end0.0ms

sample888.0ms

Algorithm
intervals
Results
525.0ms8589×body80valid