Details

Time bar (total: 12.7s)

sample15.0ms

Algorithm
intervals
Results
6.0ms301×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2227
3437
4677
5917
61067
71087
done1087

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.3b
(/ (* x (- y z)) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
12.0ms
(* x (- y z))
11.0ms
(/ (* x (- y z)) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- y z))
49.0ms
(/ (* x (- y z)) y)

simplify2.2s

Counts
77 → 77
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01401001
1299814
2866666
34181624
done5000623

prune130.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.4b
(* x (/ (- y z) y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
9.0ms
(/ (- y z) y)
15.0ms
(* x (/ (- y z) y))

series84.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- y z) y)
52.0ms
(* x (/ (- y z) y))

simplify2.0s

Counts
86 → 86
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0115841
1268796
2744731
32464731
done5001730

prune177.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y z) (/ 1 y))
2.4b
(* x (* (- y z) (/ 1 y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
9×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp un-div-inv *-commutative log1p-expm1-u add-log-exp
1×div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 74
Calls
2 calls:
16.0ms
(* (- y z) (/ 1 y))
20.0ms
(* x (* (- y z) (/ 1 y)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (/ 1 y))
51.0ms
(* x (* (- y z) (/ 1 y)))

simplify3.5s

Counts
80 → 80
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
0131881
1333718
21062588
34414584
done5001584

prune153.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (/ (- y z) y)) (cbrt (/ (- y z) y))))
2.6b
(cbrt (/ (- y z) y))
2.6b
(cbrt (/ (- y z) y))
2.6b
(cbrt (/ (- y z) y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
51×add-sqr-sqrt
50×*-un-lft-identity
45×times-frac
32×add-cube-cbrt
9×pow1 add-exp-log distribute-lft-out-- difference-of-squares
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 114
Calls
4 calls:
30.0ms
(* x (* (cbrt (/ (- y z) y)) (cbrt (/ (- y z) y))))
4.0ms
(cbrt (/ (- y z) y))
3.0ms
(cbrt (/ (- y z) y))
4.0ms
(cbrt (/ (- y z) y))

series846.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* x (* (cbrt (/ (- y z) y)) (cbrt (/ (- y z) y))))
229.0ms
(cbrt (/ (- y z) y))
239.0ms
(cbrt (/ (- y z) y))
228.0ms
(cbrt (/ (- y z) y))

simplify2.2s

Counts
126 → 126
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
01291655
12471593
25211483
312011458
430051443
done50011443

prune367.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

8.6% (2.8b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.1b

bsearch79.0ms

Steps
ItersRangePoint
10
3.228939373144292e-214
2.711512331557908e-198
8.45710235970229e-205
10
-3.418567166228773e-110
-5.672007660193218e-123
-1.3648877134850687e-121

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01732
12626
22926
33026
done3026

end0.0ms

sample402.0ms

Algorithm
intervals
Results
207.0ms9608×body80valid