Details

Time bar (total: 8.4s)

sample21.0ms

Algorithm
intervals
Results
7.0ms263×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
done177

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.1b
(/ x (- y (* z t)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
7.0ms
(- y (* z t))
11.0ms
(/ x (- y (* z t)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- y (* z t))
54.0ms
(/ x (- y (* z t)))

simplify996.0ms

Counts
47 → 47
Iterations

Useful iterations: 3 (370.0ms)

IterNodesCost
074506
1164492
2533456
31970454
done5002454

prune219.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
3.2b
(* x (/ 1 (- y (* z t))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 83
Calls
3 calls:
6.0ms
(- y (* z t))
17.0ms
(/ 1 (- y (* z t)))
27.0ms
(* x (/ 1 (- y (* z t))))

series160.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- y (* z t))
69.0ms
(/ 1 (- y (* z t)))
53.0ms
(* x (/ 1 (- y (* z t))))

simplify738.0ms

Counts
92 → 92
Iterations

Useful iterations: done (735.0ms)

IterNodesCost
01101011
1284909
21188776
done5000774

prune305.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (/ (- y (* z t)) x))
2.9b
(/ (- y (* z t)) x)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
6.0ms
(- y (* z t))
17.0ms
(/ 1 (/ (- y (* z t)) x))
18.0ms
(/ (- y (* z t)) x)

series229.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- y (* z t))
132.0ms
(/ 1 (/ (- y (* z t)) x))
65.0ms
(/ (- y (* z t)) x)

simplify1.4s

Counts
127 → 127
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01741898
14611669
225411589
done50001470

prune337.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y (* z t))) (cbrt (- y (* z t))))
7.4b
(cbrt (- y (* z t)))
7.4b
(cbrt (- y (* z t)))
7.4b
(cbrt (- y (* z t)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
43.0ms
(* (cbrt (- y (* z t))) (cbrt (- y (* z t))))
4.0ms
(cbrt (- y (* z t)))
4.0ms
(cbrt (- y (* z t)))
5.0ms
(cbrt (- y (* z t)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (- y (* z t))) (cbrt (- y (* z t))))
147.0ms
(cbrt (- y (* z t)))
123.0ms
(cbrt (- y (* z t)))
131.0ms
(cbrt (- y (* z t)))

simplify904.0ms

Counts
99 → 99
Iterations

Useful iterations: done (901.0ms)

IterNodesCost
01351677
13371541
211341451
done50001406

prune530.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes762.0ms

Accuracy

-4.6% (2.6b remaining)

Error of 2.7b against oracle of 0.1b and baseline of 2.6b

bsearch84.0ms

Steps
ItersRangePoint
7
-1.0378171090903063e+116
-3.772982779093367e+114
-9.052547295794515e+115
10
-8.015590953485181e+188
-1.686431831878526e+177
-1.6006653957918148e+179

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01933
12527
done2527

end0.0ms

sample848.0ms

Algorithm
intervals
Results
358.0ms8374×body80valid