Details

Time bar (total: 12.2s)

sample63.0ms

Algorithm
intervals
Results
21.0ms358×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
102661
9873
8449
7284
6206
5148
489
346
226
115
09

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×sub-neg associate-*r*
4×distribute-rgt-in pow1 distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times prod-exp associate-*r/ cbrt-unprod unswap-sqr
1×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
5.0ms
(- x (* (/ y a) (- t z)))
29.0ms
(* (/ y a) (- t z))

series154.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(- x (* (/ y a) (- t z)))
79.0ms
(* (/ y a) (- t z))

simplify631.0ms

Counts
64 → 64
Iterations
IterNodes
done5001
21424
1323
0124

prune313.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (- t z) (/ y a))
5.7b
(cbrt (* (- t z) (/ y a)))
5.7b
(cbrt (* (- t z) (/ y a)))
5.7b
(cbrt (* (- t z) (/ y a)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×cbrt-div
14×*-un-lft-identity
13×associate-*r*
12×add-cube-cbrt
10×times-frac
9×add-cbrt-cube add-exp-log
8×frac-times flip3-- associate-*l/ flip--
6×pow1
5×associate-*l*
4×associate-*r/ add-log-exp
3×cbrt-prod pow1/3
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
29.0ms
(* (- t z) (/ y a))
17.0ms
(cbrt (* (- t z) (/ y a)))
13.0ms
(cbrt (* (- t z) (/ y a)))
13.0ms
(cbrt (* (- t z) (/ y a)))

series688.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (- t z) (/ y a))
234.0ms
(cbrt (* (- t z) (/ y a)))
173.0ms
(cbrt (* (- t z) (/ y a)))
209.0ms
(cbrt (* (- t z) (/ y a)))

simplify774.0ms

Counts
92 → 92
Iterations
IterNodes
done5002
21765
1387
0161

prune671.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

5.7b
(cbrt (* (- t z) (/ y a)))
5.7b
(cbrt (* (- t z) (/ y a)))
5.7b
(cbrt (* (- t z) (/ y a)))
5.7b
(cbrt (* (- t z) (/ y a)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-div
8×frac-times flip3-- associate-*l/ flip--
4×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube pow1/3 associate-*r/ add-exp-log add-cube-cbrt add-log-exp
Counts
4 → 56
Calls
4 calls:
12.0ms
(cbrt (* (- t z) (/ y a)))
12.0ms
(cbrt (* (- t z) (/ y a)))
12.0ms
(cbrt (* (- t z) (/ y a)))
14.0ms
(cbrt (* (- t z) (/ y a)))

series768.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt (* (- t z) (/ y a)))
193.0ms
(cbrt (* (- t z) (/ y a)))
182.0ms
(cbrt (* (- t z) (/ y a)))
202.0ms
(cbrt (* (- t z) (/ y a)))

simplify1.1s

Counts
68 → 68
Iterations
IterNodes
done5000
32806
2644
1210
098

prune602.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ y a) t) (/ y (/ a (- z))))
0.0b
(- x (+ (* (/ y a) t) (/ y (/ a (- z)))))
4.5b
(* (/ y a) t)
5.4b
(/ y (/ a (- z)))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
134×add-sqr-sqrt
129×*-un-lft-identity
127×add-cube-cbrt
36×distribute-lft-neg-in distribute-rgt-neg-in
34×associate-/r*
14×add-cbrt-cube add-exp-log
13×associate-*l*
12×neg-mul-1
11×add-log-exp
6×pow1 div-inv
4×cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×sum-log diff-log associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×+-commutative clear-num sub-neg frac-2neg flip3-+ flip3-- pow-prod-down frac-add *-commutative flip-+ flip-- distribute-lft-out associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 215
Calls
4 calls:
37.0ms
(+ (* (/ y a) t) (/ y (/ a (- z))))
174.0ms
(- x (+ (* (/ y a) t) (/ y (/ a (- z)))))
12.0ms
(* (/ y a) t)
12.0ms
(/ y (/ a (- z)))

series174.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (* (/ y a) t) (/ y (/ a (- z))))
57.0ms
(- x (+ (* (/ y a) t) (/ y (/ a (- z)))))
22.0ms
(* (/ y a) t)
28.0ms
(/ y (/ a (- z)))

simplify473.0ms

Counts
227 → 227
Iterations
IterNodes
done5000
11095
0408

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes488.0ms

Accuracy

52% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.9b

bsearch147.0ms

Steps
ItersRangePoint
8
4.9564136056538495e-85
2.304535816897587e-82
1.030424506076637e-83
10
-219231520523.36655
-18.54937124212537
-2984.114765121557

simplify10.0ms

Iterations
IterNodes
done48
348
247
140
030

end0.0ms

sample1.6s

Algorithm
intervals
Results
552.0ms10743×body80valid