Details

Time bar (total: 11.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2289
3479
4779
51019
61219
71289
81449
91899
102829
114239
124619
135129
146029
158349
1611189
1716599
1821329
1921919
done21919

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
9.0ms
(* (- y x) z)
4.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(/ (* (- y x) z) t)

series111.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- y x) z)
40.0ms
(+ x (/ (* (- y x) z) t))
43.0ms
(/ (* (- y x) z) t)

simplify1.5s

Counts
66 → 66
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
0110688
1284653
2934559
done5001559

prune134.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
5.6b
(/ (- y x) (/ t z))

rewrite45.0ms

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-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
27.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

series83.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (/ (- y x) (/ t z)))
47.0ms
(/ (- y x) (/ t z))

simplify827.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (283.0ms)

IterNodesCost
02171896
16071770
217731680
done50001680

prune266.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
2.0ms
(+ x (* (- y x) (/ z t)))
14.0ms
(* (- y x) (/ z t))

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (- y x) (/ z t)))
45.0ms
(* (- y x) (/ z t))

simplify2.3s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0115669
1297627
21058581
34937557
done5000557

prune128.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.3b
(/ 1 (/ (/ t z) (- y x)))
5.5b
(/ (/ t z) (- y x))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
78.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
20.0ms
(/ 1 (/ (/ t z) (- y x)))
9.0ms
(/ (/ t z) (- y x))

series130.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
51.0ms
(/ 1 (/ (/ t z) (- y x)))
44.0ms
(/ (/ t z) (- y x))

simplify1.3s

Counts
434 → 434
Iterations

Useful iterations: 2 (799.0ms)

IterNodesCost
05758555
114307415
232436509
done50006509

prune655.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes138.0ms

Accuracy

-0.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch39.0ms

Steps
ItersRangePoint
9
-4.094505639709548e-92
-5.935344559987833e-100
-4.0164937919145246e-92

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01624
12122
done2122

end0.0ms

sample545.0ms

Algorithm
intervals
Results
286.0ms10619×body80valid