Details

sample40.0ms

Algorithm

intervals

Results

17.0ms	240×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	8×	body	1280	valid
0.0ms	6×	body	160	valid

simplify103.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
1.6b	(- (+ x y) (/ (* (- z t) y) (- a t)))
10.3b	(/ (* (- z t) y) (- a t))

rewrite100.0ms

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:

21.0ms	(* (- z t) y)
55.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
22.0ms	(/ (* (- z t) y) (- a t))

series229.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- z t) y)
128.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
69.0ms	(/ (* (- z t) y) (- a t))

simplify43.0ms

Counts: 79 → 79

prune204.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
3.5b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
9.0b	(/ (- z t) (/ (- a t) y))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

15.0ms	(/ (- a t) y)
88.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
26.0ms	(/ (- z t) (/ (- a t) y))

series266.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- a t) y)
128.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
108.0ms	(/ (- z t) (/ (- a t) y))

simplify72.0ms

Counts: 206 → 206

prune529.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
1.5b	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))
7.2b	(- (+ x y) (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y)))))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

525×	`times-frac`
409×	`add-sqr-sqrt`
373×	`*-un-lft-identity`
288×	`cbrt-prod`
265×	`associate-r`
205×	`add-cube-cbrt`
84×	`distribute-lft-out--` `difference-of-squares`
73×	`add-exp-log`
39×	`add-cbrt-cube`
27×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
16×	`cbrt-div`
13×	`associate-l`
12×	`unswap-sqr`
9×	`flip3--` `associate-/r/` `flip--` `add-log-exp`
7×	`frac-times` `div-inv`
6×	`pow1` `frac-sub`
5×	`associate-r/` `associate-l/`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `diff-log`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 382

Calls

4 calls:

4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
224.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))
36.0ms	(- (+ x y) (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y)))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (- a t))
149.0ms	(cbrt (- a t))
186.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))
147.0ms	(- (+ x y) (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y)))))

simplify88.0ms

Counts: 394 → 394

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
8.4b	(- (+ x y) (* (/ (cbrt y) (cbrt (- a t))) (* (/ (cbrt y) (cbrt (- a t))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`frac-sub`
13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`frac-times` `associate-*r/`
9×	`add-log-exp`
7×	`add-cube-cbrt` `flip3-+` `flip-+`
6×	`cbrt-div` `associate-*l/`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
2×	`diff-log`
1×	`sub-neg` `associate--l+` `sum-log`

Counts

4 → 73

Calls

4 calls:

5.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
42.0ms	(- (+ x y) (* (/ (cbrt y) (cbrt (- a t))) (* (/ (cbrt y) (cbrt (- a t))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))))

series620.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (- a t))
156.0ms	(cbrt (- a t))
162.0ms	(cbrt (- a t))
142.0ms	(- (+ x y) (* (/ (cbrt y) (cbrt (- a t))) (* (/ (cbrt y) (cbrt (- a t))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))))

simplify52.0ms

Counts: 85 → 85

prune364.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.9b

regimes414.0ms

Accuracy

38.2% (4.8b remaining)

Error of 8.8b against oracle of 4.0b and baseline of 11.8b

bsearch92.0ms

Steps

Iters	Range		Point
6	1.3224209822744155e-152	2.0773317564981393e-151	1.0197674687672387e-151
9	-8.737480952231656e-149	-2.1349897266323535e-158	-1.4732266653995598e-157

simplify1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

734.0ms	7339×	body	80	valid
98.0ms	469×	body	640	valid
78.0ms	261×	body	1280	valid
70.0ms	388×	body	320	valid
19.0ms	250×	body	160	valid
4.0ms	19×	body	2560	valid