Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	242×	body	80	valid
3.0ms	18×	body	640	valid
2.0ms	9×	body	1280	valid
1.0ms	14×	body	320	valid
0.0ms	5×	body	160	valid
0.0ms	1×	body	2560	valid

simplify1.1s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
1.7b	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.9b	(/ (* (- z t) y) (- a t))

rewrite142.0ms

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:

28.0ms	(* (- z t) y)
62.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
49.0ms	(/ (* (- z t) y) (- a t))

series303.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (- z t) y)
167.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
96.0ms	(/ (* (- z t) y) (- a t))

simplify757.0ms

Counts: 79 → 79

prune381.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
3.2b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
8.7b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite255.0ms

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:

5.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))
179.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
60.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series787.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (- a t))
237.0ms	(cbrt (- a t))
178.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
165.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify1.5s

Counts: 139 → 139

prune640.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.7b

localize28.0ms

Local error

Found 4 expressions with local error:

3.5b	(cbrt (/ y (cbrt (- a t))))
3.5b	(cbrt (/ y (cbrt (- a t))))
3.5b	(cbrt (/ y (cbrt (- a t))))
7.5b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t)))))) (cbrt (/ y (cbrt (- a t))))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

135×	`cbrt-prod`
72×	`times-frac`
67×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`cbrt-div`
49×	`add-cube-cbrt`
34×	`frac-times`
30×	`frac-sub`
26×	`associate-*l/`
22×	`associate-*r/`
15×	`flip3-+` `flip-+`
9×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3` `div-inv`
2×	`diff-log`
1×	`sub-neg` `associate--l+` `sum-log`

Counts

4 → 161

Calls

4 calls:

10.0ms	(cbrt (/ y (cbrt (- a t))))
8.0ms	(cbrt (/ y (cbrt (- a t))))
8.0ms	(cbrt (/ y (cbrt (- a t))))
73.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t)))))) (cbrt (/ y (cbrt (- a t))))))

series986.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (/ y (cbrt (- a t))))
280.0ms	(cbrt (/ y (cbrt (- a t))))
250.0ms	(cbrt (/ y (cbrt (- a t))))
215.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt (/ y (cbrt (- a t)))) (cbrt (/ y (cbrt (- a t)))))) (cbrt (/ y (cbrt (- a t))))))

simplify1.1s

Counts: 173 → 173

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
1.4b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt 1)))
8.5b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt 1))) (/ (cbrt y) (cbrt (- a t)))))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

7.0ms	(cbrt (- a t))
7.0ms	(cbrt (- a t))
145.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt 1)))
62.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt 1))) (/ (cbrt y) (cbrt (- a t)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

514.0ms	(cbrt (- a t))
200.0ms	(cbrt (- a t))
309.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt 1)))
255.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt 1))) (/ (cbrt y) (cbrt (- a t)))))

simplify1.6s

Counts: 135 → 135

prune801.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

regimes591.0ms

Accuracy

31.1% (4.5b remaining)

Error of 8.7b against oracle of 4.2b and baseline of 10.7b

bsearch66.0ms

Steps

Iters	Range		Point
4	1.7015222232976972e-101	3.101291141730775e-101	1.9011874712149678e-101
6	-8.960081451685692e-87	-1.7011774471259685e-87	-1.7582472852372265e-87

simplify554.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

453.0ms	7337×	body	80	valid
132.0ms	407×	body	320	valid
111.0ms	456×	body	640	valid
52.0ms	258×	body	1280	valid
21.0ms	250×	body	160	valid
3.0ms	12×	body	2560	valid