Details

Time bar (total: 9.4s)

sample25.0ms

Algorithm
intervals
Results
11.0ms265×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12317
23717
35717
47417
58617
611017
717917
833517
978317
10323717
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
1.3b
(+ (* x y) (* z (- t a)))
24.0b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
times-frac
pow1
distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
associate-+r+ associate-*r/
flip3-+ associate-/r* flip-+ associate-/l*
flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
9.0ms
(* z (- b y))
10.0ms
(* z (- t a))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (- b y))
35.0ms
(* z (- t a))
43.0ms
(+ (* x y) (* z (- t a)))
307.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify575.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
01691522
14151458
215801348
done50001348

prune311.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(+ (* z t) (* z (- a)))
1.3b
(+ (* x y) (+ (* z t) (* z (- a))))
24.0b
(/ (+ (* x y) (+ (* z t) (* z (- a)))) (+ y (* z (- b y))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
11×add-log-exp
times-frac
add-exp-log add-cbrt-cube
pow1 distribute-rgt-neg-out
associate-*r*
associate-+r- flip3-+ sum-log flip-+
associate-*l* unsub-neg associate-/r* associate-/l*
+-commutative distribute-rgt-in sub-neg distribute-lft-in div-sub associate-*r/ associate-/r/ associate-/l/
cbrt-undiv associate-+r+ flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 88
Calls
4 calls:
9.0ms
(* z (- b y))
2.0ms
(+ (* z t) (* z (- a)))
9.0ms
(+ (* x y) (+ (* z t) (* z (- a))))
25.0ms
(/ (+ (* x y) (+ (* z t) (* z (- a)))) (+ y (* z (- b y))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* z (- b y))
32.0ms
(+ (* z t) (* z (- a)))
45.0ms
(+ (* x y) (+ (* z t) (* z (- a))))
310.0ms
(/ (+ (* x y) (+ (* z t) (* z (- a)))) (+ y (* z (- b y))))

simplify580.0ms

Counts
100 → 100
Iterations

Useful iterations: done (577.0ms)

IterNodesCost
01591745
14201438
217151339
done50001337

prune293.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ (* x y) (* z t)) (+ y (* z (- b y)))) (/ (* z a) (+ y (* z (- b y)))))
0.9b
(+ (* x y) (* z t))
15.2b
(/ (* z a) (+ y (* z (- b y))))
21.8b
(/ (+ (* x y) (* z t)) (+ y (* z (- b y))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
associate-/r/ add-log-exp
flip3-+ associate-/r* flip-+
pow1 div-inv associate-/l*
cbrt-undiv distribute-rgt-out-- div-exp
frac-2neg clear-num associate-/l/ difference-of-squares
+-commutative sub-neg flip3-- diff-log prod-exp sum-log frac-sub flip-- cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 85
Calls
4 calls:
44.0ms
(- (/ (+ (* x y) (* z t)) (+ y (* z (- b y)))) (/ (* z a) (+ y (* z (- b y)))))
2.0ms
(+ (* x y) (* z t))
5.0ms
(/ (* z a) (+ y (* z (- b y))))
10.0ms
(/ (+ (* x y) (* z t)) (+ y (* z (- b y))))

series675.0ms

Counts
4 → 12
Calls
4 calls:
398.0ms
(- (/ (+ (* x y) (* z t)) (+ y (* z (- b y)))) (/ (* z a) (+ y (* z (- b y)))))
35.0ms
(+ (* x y) (* z t))
93.0ms
(/ (* z a) (+ y (* z (- b y))))
150.0ms
(/ (+ (* x y) (* z t)) (+ y (* z (- b y))))

simplify495.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
01532137
14192047
215441891
done50001891

prune315.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* z t) (* z (- a)))
1.3b
(+ (* b z) (* (- y) z))
1.3b
(+ (* x y) (+ (* z t) (* z (- a))))
24.0b
(/ (+ (* x y) (+ (* z t) (* z (- a)))) (+ y (+ (* b z) (* (- y) z))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt add-log-exp
12×times-frac
add-exp-log distribute-rgt-neg-out add-cbrt-cube
flip3-+ sum-log flip-+ distribute-lft-out
pow1 associate-+r- unsub-neg associate-/r*
+-commutative associate-/l*
distribute-lft-neg-out div-sub associate-/r/ associate-/l/
cbrt-undiv associate-+r+ distribute-rgt-out frac-2neg div-exp clear-num div-inv
Counts
4 → 80
Calls
4 calls:
2.0ms
(+ (* z t) (* z (- a)))
2.0ms
(+ (* b z) (* (- y) z))
7.0ms
(+ (* x y) (+ (* z t) (* z (- a))))
33.0ms
(/ (+ (* x y) (+ (* z t) (* z (- a)))) (+ y (+ (* b z) (* (- y) z))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* z t) (* z (- a)))
38.0ms
(+ (* b z) (* (- y) z))
41.0ms
(+ (* x y) (+ (* z t) (* z (- a))))
318.0ms
(/ (+ (* x y) (+ (* z t) (* z (- a)))) (+ y (+ (* b z) (* (- y) z))))

simplify543.0ms

Counts
92 → 92
Iterations

Useful iterations: done (541.0ms)

IterNodesCost
01421998
14271461
217431369
done50011365

prune445.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.8b

regimes357.0ms

Accuracy

0% (2.8b remaining)

Error of 23.9b against oracle of 21.1b and baseline of 23.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01823
13123
23623
33823
done3823

end0.0ms

sample640.0ms

Algorithm
intervals
Results
344.0ms8413×body80valid