Details

Time bar (total: 18.6s)

sample31.0ms

Algorithm
intervals
Results
14.0ms346×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5001
133308
122041
111149
10682
9352
8198
7153
6134
5109
472
340
223
114
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.1b
(/ (* y (- z x)) t)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in 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 → 61
Calls
3 calls:
28.0ms
(* y (- z x))
8.0ms
(+ x (/ (* y (- z x)) t))
24.0ms
(/ (* y (- z x)) t)

series180.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* y (- z x))
65.0ms
(+ x (/ (* y (- z x)) t))
62.0ms
(/ (* y (- z x)) t)

simplify2.7s

Counts
70 → 70
Iterations
IterNodes
done5011
34197
2901
1309
0113

prune452.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z x) (/ t y)))
8.0b
(/ (- z x) (/ t y))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-cbrt-cube add-exp-log div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 114
Calls
2 calls:
37.0ms
(+ x (/ (- z x) (/ t y)))
28.0ms
(/ (- z x) (/ t y))

series110.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ x (/ (- z x) (/ t y)))
62.0ms
(/ (- z x) (/ t y))

simplify1.7s

Counts
120 → 120
Iterations
IterNodes
done5002
22004
1657
0217

prune625.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- z x) (/ y t)))
8.0b
(* (- z x) (/ y t))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
5.0ms
(+ x (* (- z x) (/ y t)))
33.0ms
(* (- z x) (/ y t))

series118.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ x (* (- z x) (/ y t)))
63.0ms
(* (- z x) (/ y t))

simplify3.1s

Counts
55 → 55
Iterations
IterNodes
done5000
34931
21044
1307
0115

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z x) y)
0.0b
(+ x (* (* (- z x) y) (/ 1 t)))
7.2b
(* (* (- z x) y) (/ 1 t))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
16×add-sqr-sqrt associate-*r*
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
8×associate-*l/
7×cbrt-unprod
6×associate-*l*
5×add-log-exp
4×div-exp pow-prod-down
3×flip3-- flip--
2×frac-times cbrt-undiv rec-exp 1-exp *-commutative
1×+-commutative sum-log flip3-+ associate-*r/ un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 75
Calls
3 calls:
21.0ms
(* (- z x) y)
8.0ms
(+ x (* (* (- z x) y) (/ 1 t)))
60.0ms
(* (* (- z x) y) (/ 1 t))

series173.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (- z x) y)
64.0ms
(+ x (* (* (- z x) y) (/ 1 t)))
64.0ms
(* (* (- z x) y) (/ 1 t))

simplify3.3s

Counts
84 → 84
Iterations
IterNodes
done5014
34677
21247
1407
0147

prune406.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes289.0ms

Accuracy

-15.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.9b

bsearch75.0ms

Steps
ItersRangePoint
8
6.696361263611533e-237
1.3823679934024404e-233
1.093916620246965e-234
3
-5.2778067388768564e-68
-3.6303657124642797e-68
-4.52255859809873e-68

simplify7.0ms

Iterations
IterNodes
done28
128
019

end0.0ms

sample1.5s

Algorithm
intervals
Results
976.0ms10599×body80valid