Details

Time bar (total: 19.1s)

sample32.0ms

Algorithm
intervals
Results
16.0ms336×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5001
123108
111772
10955
9470
8301
7217
6172
5128
481
343
223
114
08

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.2b
(/ (* y (- z x)) t)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u associate-/r* fma-def times-frac associate-*l* insert-posit16 log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 91
Calls
3 calls:
18.0ms
(+ x (/ (* y (- z x)) t))
24.0ms
(* y (- z x))
33.0ms
(/ (* y (- z x)) t)

series206.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(+ x (/ (* y (- z x)) t))
63.0ms
(* y (- z x))
74.0ms
(/ (* y (- z x)) t)

simplify2.9s

Counts
100 → 100
Iterations
IterNodes
done5000
34932
21187
1431
0170

prune431.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

1.5b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma (/ y t) (- z x) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (/ y t) (- z x) x)

simplify1.5s

Counts
14 → 14
Iterations
IterNodes
done5003
41451
3261
290
141
024

prune103.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×*-un-lft-identity add-exp-log
25×add-cube-cbrt
18×associate-*r* prod-diff
17×add-cbrt-cube
13×prod-exp
11×distribute-rgt-in distribute-lft-in
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×expm1-log1p-u fma-def flip3-- insert-posit16 log1p-expm1-u flip--
2×frac-times cbrt-undiv rec-exp sub-neg 1-exp associate-*l/ *-commutative
1×+-commutative sum-log flip3-+ un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 109
Calls
3 calls:
16.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
37.0ms
(* y (- z x))
56.0ms
(* (* y (- z x)) (/ 1 t))

series162.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (* (* y (- z x)) (/ 1 t)))
51.0ms
(* y (- z x))
65.0ms
(* (* y (- z x)) (/ 1 t))

simplify1.6s

Counts
118 → 118
Iterations
IterNodes
done5001
21535
1538
0208

prune459.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(* (* (/ (- z x) (cbrt t)) (/ y (cbrt t))) (/ 1 (cbrt t)))
3.4b
(* (/ (- z x) (cbrt t)) (/ y (cbrt t)))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
93×add-exp-log
91×add-sqr-sqrt
78×times-frac
61×*-un-lft-identity
49×add-cube-cbrt
45×cbrt-prod
44×associate-*r*
40×add-cbrt-cube prod-exp
35×associate-*l*
30×div-exp
22×cbrt-unprod
17×cbrt-undiv
11×pow1
9×unswap-sqr
6×frac-times associate-*l/ distribute-lft-out-- difference-of-squares
5×rec-exp 1-exp
4×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
1×un-div-inv
Counts
4 → 190
Calls
4 calls:
1.0ms
(cbrt t)
2.0ms
(cbrt t)
95.0ms
(* (* (/ (- z x) (cbrt t)) (/ y (cbrt t))) (/ 1 (cbrt t)))
76.0ms
(* (/ (- z x) (cbrt t)) (/ y (cbrt t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt t)
280.0ms
(cbrt t)
107.0ms
(* (* (/ (- z x) (cbrt t)) (/ y (cbrt t))) (/ 1 (cbrt t)))
366.0ms
(* (/ (- z x) (cbrt t)) (/ y (cbrt t)))

simplify2.4s

Counts
202 → 202
Iterations
IterNodes
done5002
23006
1882
0281

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes378.0ms

Accuracy

12.4% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify9.0ms

Iterations
IterNodes
done42
142
031

end0.0ms

sample1.1s

Algorithm
intervals
Results
671.0ms10684×body80valid