Details

Time bar (total: 7.8s)

sample20.0ms

Algorithm
intervals
Results
7.0ms285×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634
done2634

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.1b
(/ x (/ (* z (- y t)) 2.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 96
Calls
2 calls:
21.0ms
(* z (- y t))
13.0ms
(/ x (/ (* z (- y t)) 2.0))

series84.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* z (- y t))
49.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify51.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0433735
11861559
25001556
done5001556

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.3b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
14.0ms
(/ x (/ (- y t) 2.0))
58.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (/ (- y t) 2.0))
52.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify103.0ms

Counts
218 → 218
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09191696
142841528
250011521
done50011521

prune478.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
5.2b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 366
Calls
2 calls:
15.0ms
(/ x (/ (- y t) 2.0))
35.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series112.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ x (/ (- y t) 2.0))
74.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify68.0ms

Counts
372 → 372
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013633876
150013759
done50013759

prune985.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) (/ (/ (cbrt x) (/ (cbrt (- y t)) 2.0)) z))

rewrite651.0ms

Algorithm
rewrite-expression-head
Rules
1750×times-frac
1048×add-sqr-sqrt
769×*-un-lft-identity
661×add-cube-cbrt
654×cbrt-prod
523×associate-*r*
84×add-exp-log
65×associate-*l*
56×unswap-sqr
54×distribute-lft-out-- difference-of-squares
44×cbrt-undiv div-exp add-cbrt-cube
29×div-inv
20×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 729
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
564.0ms
(* (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) (/ (/ (cbrt x) (/ (cbrt (- y t)) 2.0)) z))

series659.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
178.0ms
(cbrt x)
185.0ms
(cbrt x)
111.0ms
(* (/ (cbrt x) (/ (* (cbrt (- y t)) (cbrt (- y t))) (cbrt x))) (/ (/ (cbrt x) (/ (cbrt (- y t)) 2.0)) z))

simplify130.0ms

Counts
741 → 741
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
0500114888
done500114888

prune3.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02216
12416
22416
done2416

end0.0ms

sample524.0ms

Algorithm
intervals
Results
239.0ms8752×body80valid