Details

Time bar (total: 51.9s)

sample115.0ms

Algorithm
intervals
Results
26.0ms341×body80valid

simplify7.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
099
1209
2419
3579
4769
51109
62199
75259
815169
949449
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x y) z)
0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-sqr-sqrt
7×add-exp-log add-cbrt-cube add-log-exp
6×times-frac associate-/l* distribute-lft-out--
4×add-cube-cbrt
3×distribute-lft-out difference-of-squares
2×pow1 cbrt-undiv flip3-- diff-log div-exp flip-- associate-/l/
1×sub-neg frac-2neg div-sub prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 47
Calls
2 calls:
75.0ms
(- (+ x y) z)
151.0ms
(/ (- (+ x y) z) (* t 2.0))

series121.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (+ x y) z)
87.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify8.8s

Counts
53 → 53
Iterations

Useful iterations: 3 (4.6s)

IterNodesCost
093581
1234569
2828503
34532499
done5002499

prune792.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ y t) (/ x t))
0.0b
(- (+ (/ y t) (/ x t)) (/ z t))

rewrite440.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt
9×add-log-exp
8×distribute-lft-out
7×add-cube-cbrt
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ div-inv difference-of-squares
1×+-commutative sub-neg distribute-rgt-out flip3-- associate--l+ flip--
Counts
2 → 41
Calls
2 calls:
49.0ms
(+ (/ y t) (/ x t))
388.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

series79.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (/ y t) (/ x t))
47.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

simplify4.8s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
089725
1226691
2763661
33369647
done5000647

prune742.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x y) z)
0.2b
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

rewrite824.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
41×*-un-lft-identity
34×times-frac
24×add-exp-log
22×associate-*r*
19×add-cube-cbrt
14×add-cbrt-cube
13×associate-*l*
8×div-exp prod-exp distribute-lft-out--
7×add-log-exp
6×unswap-sqr
4×pow1 cbrt-undiv cbrt-unprod distribute-lft-out difference-of-squares
2×rec-exp diff-log 1-exp div-inv
1×frac-times sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ associate--l+ sum-log *-commutative flip--
Counts
2 → 82
Calls
2 calls:
152.0ms
(- (+ x y) z)
614.0ms
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

series330.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (+ x y) z)
270.0ms
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

simplify3.4s

Counts
88 → 88
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01611216
14731091
22619927
done5001915

prune445.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
3.2b
(cbrt (+ (/ y t) (/ x t)))
3.2b
(cbrt (+ (/ y t) (/ x t)))
3.2b
(cbrt (+ (/ y t) (/ x t)))

rewrite807.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
64×cbrt-prod
42×times-frac
37×add-sqr-sqrt
33×cbrt-div
30×distribute-lft-out
29×add-cube-cbrt
14×div-inv
13×swap-sqr
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
9×frac-times pow1/3
7×distribute-rgt-out
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
631.0ms
(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
59.0ms
(cbrt (+ (/ y t) (/ x t)))
64.0ms
(cbrt (+ (/ y t) (/ x t)))
41.0ms
(cbrt (+ (/ y t) (/ x t)))

series1.7s

Counts
4 → 12
Calls
4 calls:
411.0ms
(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
290.0ms
(cbrt (+ (/ y t) (/ x t)))
399.0ms
(cbrt (+ (/ y t) (/ x t)))
600.0ms
(cbrt (+ (/ y t) (/ x t)))

simplify3.7s

Counts
141 → 141
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01952882
14162691
215242543
done50002373

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes942.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
11313
done1313

end0.0ms

sample13.1s

Algorithm
intervals
Results
8.7s10954×body80valid