Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

339×

body

valid

simplify449.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	45	9
4	75	9
5	106	9
6	121	9
7	137	9
8	171	9
9	237	9
10	323	9
11	364	9
12	437	9
13	456	9
done	456	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
4.9b	(/ (* y (- z t)) a)

rewrite22.0ms

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-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `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 → 61

Calls

3 calls:

10.0ms	(* y (- z t))
4.0ms	(+ x (/ (* y (- z t)) a))
6.0ms	(/ (* y (- z t)) a)

series140.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* y (- z t))
48.0ms	(+ x (/ (* y (- z t)) a))
52.0ms	(/ (* y (- z t)) a)

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	722
1	297	679
2	868	589
3	3962	589
done	5001	588

prune150.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(* (cbrt a) (cbrt a))
5.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
40×	`times-frac` `associate-r`
39×	`cbrt-prod`
33×	`add-cube-cbrt`
27×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`pow1` `associate-l`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/`

Counts

4 → 133

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
6.0ms	(* (cbrt a) (cbrt a))
35.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series655.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt a)
177.0ms	(cbrt a)
198.0ms	(* (cbrt a) (cbrt a))
92.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify831.0ms

Counts

145 → 145

Iterations

Useful iterations: done (827.0ms)

Iter	Nodes	Cost
0	193	1841
1	543	1516
2	2485	1330
done	5000	1322

prune398.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

30.0ms	(+ x (/ y (/ a (- z t))))
6.0ms	(/ a (- z t))
10.0ms	(/ y (/ a (- z t)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ x (/ y (/ a (- z t))))
28.0ms	(/ a (- z t))
57.0ms	(/ y (/ a (- z t)))

simplify646.0ms

Counts

160 → 160

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	245	2291
1	548	2136
2	1803	2056
done	5000	2056

prune397.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y a) (- z t)))
8.1b	(* (/ y a) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

3.0ms	(+ x (* (/ y a) (- z t)))
19.0ms	(* (/ y a) (- z t))

series103.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* (/ y a) (- z t)))
52.0ms	(* (/ y a) (- z t))

simplify1.9s

Counts

63 → 63

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	123	723
1	322	691
2	1057	619
3	4238	619
done	5000	619

prune131.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes318.0ms

Accuracy

64.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.3b

bsearch64.0ms

Steps

Iters	Range		Point
8	3.713066983026811e+65	6.642013340869958e+68	3.7574005919343346e+65
6	-2.6747694130275977e+104	-4.940402320025422e+103	-1.3995028580527438e+104

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	35
1	26	35
done	26	35

end0.0ms

sample598.0ms

Algorithm

intervals

Results

288.0ms

10663×

body

valid