Details

Time bar (total: 36.6s)

sample52.0ms

Algorithm
intervals
Results
20.0ms341×body80valid

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite277.0ms

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:
72.0ms
(- (+ x y) z)
201.0ms
(/ (- (+ x y) z) (* t 2.0))

series130.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (+ x y) z)
97.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify3.8s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
093581
1234569
2828503
34532499
done5002499

prune200.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite586.0ms

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:
89.0ms
(+ (/ y t) (/ x t))
487.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

series196.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (/ y t) (/ x t))
161.0ms
(- (+ (/ y t) (/ x t)) (/ z t))

simplify3.7s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
089725
1226691
2763661
33369647
done5000647

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 2 expressions with local error:

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

rewrite528.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
15×*-un-lft-identity
11×add-sqr-sqrt add-cbrt-cube
10×prod-exp
7×associate-*r* add-log-exp
6×associate-*l*
5×add-cube-cbrt
4×pow1 div-exp cbrt-unprod distribute-lft-out--
3×flip3-- times-frac flip--
2×cbrt-undiv frac-times rec-exp diff-log 1-exp associate-*l/ distribute-lft-out difference-of-squares
1×sub-neg associate-*r/ pow-prod-down associate--l+ sum-log un-div-inv *-commutative div-inv unswap-sqr
Counts
2 → 56
Calls
2 calls:
151.0ms
(- (+ x y) z)
329.0ms
(* (- (+ x y) z) (/ 1 (* t 2.0)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (+ x y) z)
97.0ms
(* (- (+ x y) z) (/ 1 (* t 2.0)))

simplify2.3s

Counts
62 → 62
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0119778
1310728
21622594
done5001592

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize72.0ms

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)))

rewrite642.0ms

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:
402.0ms
(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
29.0ms
(cbrt (+ (/ y t) (/ x t)))
32.0ms
(cbrt (+ (/ y t) (/ x t)))
59.0ms
(cbrt (+ (/ y t) (/ x t)))

series1.9s

Counts
4 → 12
Calls
4 calls:
562.0ms
(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
405.0ms
(cbrt (+ (/ y t) (/ x t)))
450.0ms
(cbrt (+ (/ y t) (/ x t)))
492.0ms
(cbrt (+ (/ y t) (/ x t)))

simplify4.9s

Counts
141 → 141
Iterations

Useful iterations: done (4.7s)

IterNodesCost
01952882
14162691
215242543
done50002373

prune2.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes790.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11313
done1313

end0.0ms

sample8.2s

Algorithm
intervals
Results
3.7s10954×body80valid