Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	246×	body	80	valid
9.0ms	15×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	160	valid

simplify956.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
1.5b	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.9b	(/ (* (- z t) y) (- a t))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

38.0ms	(* (- z t) y)
64.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
24.0ms	(/ (* (- z t) y) (- a t))

series316.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (- z t) y)
194.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
74.0ms	(/ (* (- z t) y) (- a t))

simplify696.0ms

Counts: 79 → 79

prune275.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
3.0b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
7.1b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
36×	`times-frac`
35×	`*-un-lft-identity`
30×	`associate-r`
27×	`cbrt-prod`
25×	`add-exp-log`
23×	`add-cube-cbrt`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
9×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `frac-times` `div-exp`
6×	`pow1` `frac-sub` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
5×	`associate-r/` `associate-l/`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 127

Calls

4 calls:

4.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))
168.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
54.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series687.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (- a t))
174.0ms	(cbrt (- a t))
157.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
171.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify1.4s

Counts: 139 → 139

prune779.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
6.9b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
32×	`cbrt-div`
22×	`add-sqr-sqrt` `add-cbrt-cube`
19×	`frac-times`
17×	`associate-l`
16×	`times-frac` `associate-r` `associate-/r/`
15×	`associate-*l/` `prod-exp` `cbrt-unprod`
14×	`frac-sub`
13×	`flip3--` `flip--`
12×	`cbrt-undiv` `*-un-lft-identity` `div-exp`
11×	`associate-*r/`
10×	`add-cube-cbrt`
9×	`cbrt-prod` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1` `unswap-sqr`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
150.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
82.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt y)
266.0ms	(cbrt y)
408.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
287.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify1.7s

Counts: 131 → 131

prune798.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (sqrt (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))))
7.6b	(- (+ x y) (* (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (sqrt (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))) (/ (cbrt y) (sqrt (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
66×	`times-frac`
54×	`associate-r`
43×	`cbrt-prod` `frac-times`
39×	`associate-*l/`
37×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`cbrt-div` `sqrt-prod`
30×	`frac-sub`
25×	`add-exp-log`
19×	`associate-*r/`
18×	`add-cbrt-cube`
17×	`associate-l`
16×	`associate-/r/`
15×	`flip3-+` `flip-+`
14×	`unswap-sqr`
13×	`flip3--` `flip--`
9×	`add-log-exp`
8×	`sqrt-div` `prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 175

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
157.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (sqrt (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))))
87.0ms	(- (+ x y) (* (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (sqrt (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))) (/ (cbrt y) (sqrt (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt y)
250.0ms	(cbrt y)
322.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (sqrt (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))))
197.0ms	(- (+ x y) (* (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (sqrt (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))) (/ (cbrt y) (sqrt (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify588.0ms

Counts: 187 → 187

prune1.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.2b

regimes623.0ms

Accuracy

40.6% (4.4b remaining)

Error of 8.4b against oracle of 4.0b and baseline of 11.4b

bsearch3.0ms

simplify1.4s

end0.0ms

sample1.7s

Algorithm

intervals

Results

938.0ms	7399×	body	80	valid
87.0ms	456×	body	640	valid
66.0ms	418×	body	320	valid
61.0ms	251×	body	1280	valid
23.0ms	230×	body	160	valid
4.0ms	13×	body	2560	valid