Details

Time bar (total: 10.7s)

sample42.0ms

Algorithm
intervals
Results
20.0ms423×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.1s)

IterNodesCost
01819
13719
29119
326719
470419
5160619
6364117
done500017

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.2b
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
2.0b
(/ (+ b (* (* x 9.0) y)) z)
10.6b
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×add-exp-log add-cbrt-cube
9×pow1
6×associate-/r* associate-/l* add-log-exp
4×associate-/l/
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×sub-neg flip3-+ diff-log div-sub associate-*l* *-commutative flip-+
Counts
4 → 89
Calls
4 calls:
9.0ms
(* (* x 9.0) y)
21.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
7.0ms
(/ (+ b (* (* x 9.0) y)) z)
40.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

series368.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* x 9.0) y)
147.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
60.0ms
(/ (+ b (* (* x 9.0) y)) z)
142.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

simplify609.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
01821845
14401785
215481639
done50001639

prune334.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.6b
(/ (* a t) c)
4.4b
(/ b (* z c))
11.2b
(/ (* x y) (* z c))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
4.0ms
(/ (* x y) (* z c))

series108.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 9.0 (/ (* x y) (* z c)))
22.0ms
(/ (* a t) c)
19.0ms
(/ b (* z c))
27.0ms
(/ (* x y) (* z c))

simplify534.0ms

Counts
104 → 104
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
01601082
14201049
21930823
done5001823

prune293.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
3.5b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.4b
(/ b (* z c))
11.2b
(/ (* x y) (* z c))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×div-inv associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r*
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
0.0ms
(cbrt c)
26.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
3.0ms
(/ b (* z c))
4.0ms
(/ (* x y) (* z c))

series269.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt c)
51.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
20.0ms
(/ b (* z c))
27.0ms
(/ (* x y) (* z c))

simplify1.1s

Counts
124 → 124
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02211537
16371478
228671100
done50001094

prune480.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
3.5b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.4b
(/ b (* z c))
9.8b
(* (/ x z) (/ y c))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
53×times-frac
42×add-exp-log
36×add-cube-cbrt *-un-lft-identity
35×associate-*r* add-cbrt-cube
20×associate-*l*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
10×unswap-sqr
8×pow1
5×div-inv
4×add-log-exp
3×associate-/l*
2×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
1×frac-2neg pow1/3 clear-num associate-/r*
Counts
4 → 141
Calls
4 calls:
0.0ms
(cbrt c)
26.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
3.0ms
(/ b (* z c))
13.0ms
(* (/ x z) (/ y c))

series279.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt c)
52.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
20.0ms
(/ b (* z c))
29.0ms
(* (/ x z) (/ y c))

simplify1.1s

Counts
153 → 153
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02791833
18171760
232151374
done50011370

prune603.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes818.0ms

Accuracy

34% (7.8b remaining)

Error of 7.9b against oracle of 0.1b and baseline of 11.9b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
070197
194197
done94197

end0.0ms

sample1.1s

Algorithm
intervals
Results
604.0ms12748×body80valid