Details

Time bar (total: 18.4s)

sample44.0ms

Algorithm
intervals
Results
18.0ms269×body80valid

simplify1.6s

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- b y))
0.9b
(+ (* x y) (* z (- t a)))
20.1b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log associate-+r+ add-cbrt-cube add-log-exp
6×pow1 distribute-rgt-in sub-neg distribute-lft-in
5×associate-*r*
4×flip3-+ flip-+
3×associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
7.0ms
(+ y (* z (- b y)))
27.0ms
(* z (- b y))
12.0ms
(+ (* x y) (* z (- t a)))
48.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ y (* z (- b y)))
43.0ms
(* z (- b y))
56.0ms
(+ (* x y) (* z (- t a)))
409.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify543.0ms

Counts
99 → 99

prune389.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 20.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.6b
(/ 1 (+ y (* z (- b y))))
0.9b
(+ (* x y) (* z (- t a)))
20.2b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
32.0ms
(* z (- b y))
14.0ms
(/ 1 (+ y (* z (- b y))))
14.0ms
(+ (* x y) (* z (- t a)))
66.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series637.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* z (- b y))
121.0ms
(/ 1 (+ y (* z (- b y))))
52.0ms
(+ (* x y) (* z (- t a)))
412.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify927.0ms

Counts
128 → 128

prune432.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 20.4b

localize32.0ms

Local error

Found 4 expressions with local error:

11.0b
(cbrt (+ y (* z (- b y))))
11.0b
(cbrt (+ y (* z (- b y))))
11.0b
(cbrt (+ y (* z (- b y))))
15.5b
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
5.0ms
(cbrt (+ y (* z (- b y))))
3.0ms
(cbrt (+ y (* z (- b y))))
3.0ms
(cbrt (+ y (* z (- b y))))
42.0ms
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

series2.7s

Counts
4 → 12
Calls
4 calls:
324.0ms
(cbrt (+ y (* z (- b y))))
270.0ms
(cbrt (+ y (* z (- b y))))
350.0ms
(cbrt (+ y (* z (- b y))))
1.7s
(/ (+ (* x y) (* z (- t a))) (* (cbrt (+ y (* z (- b y)))) (cbrt (+ y (* z (- b y))))))

simplify1.8s

Counts
82 → 82

prune422.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 20.3b

localize24.0ms

Local error

Found 4 expressions with local error:

8.1b
(/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y)))))
11.0b
(cbrt (+ y (* z (- b y))))
11.0b
(cbrt (+ y (* z (- b y))))
11.0b
(cbrt (+ y (* z (- b y))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/r*
5×flip3-+ add-cbrt-cube flip-+
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 82
Calls
4 calls:
41.0ms
(/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y)))))
3.0ms
(cbrt (+ y (* z (- b y))))
3.0ms
(cbrt (+ y (* z (- b y))))
3.0ms
(cbrt (+ y (* z (- b y))))

series1.7s

Counts
4 → 12
Calls
4 calls:
704.0ms
(/ (+ (* x y) (* z (- t a))) (cbrt (+ y (* z (- b y)))))
366.0ms
(cbrt (+ y (* z (- b y))))
350.0ms
(cbrt (+ y (* z (- b y))))
293.0ms
(cbrt (+ y (* z (- b y))))

simplify1.8s

Counts
94 → 94

prune559.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 20.3b

regimes558.0ms

Accuracy

0% (0.6b remaining)

Error of 23.1b against oracle of 22.5b and baseline of 23.1b

bsearch0.0ms

simplify1.6s

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.0s8414×body80valid