Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

279×

body

valid

simplify473.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
0.6b	(* y (/ (- z t) (- a t)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

6.0ms	(+ x (* y (/ (- z t) (- a t))))
22.0ms	(/ (- z t) (- a t))
54.0ms	(* y (/ (- z t) (- a t)))

series229.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ x (* y (/ (- z t) (- a t))))
55.0ms	(/ (- z t) (- a t))
76.0ms	(* y (/ (- z t) (- a t)))

simplify606.0ms

Counts: 122 → 122

prune461.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (- a t))
11.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))

series839.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (- a t))
232.0ms	(cbrt (- z t))
182.0ms	(cbrt (- z t))
249.0ms	(cbrt (- z t))

simplify2.1s

Counts: 72 → 72

prune459.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

148.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
9.0ms	(cbrt (/ (- z t) (- a t)))
11.0ms	(cbrt (/ (- z t) (- a t)))
15.0ms	(cbrt (/ (- z t) (- a t)))

series1.7s

Counts

4 → 12

Calls

4 calls:

417.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
434.0ms	(cbrt (/ (- z t) (- a t)))
393.0ms	(cbrt (/ (- z t) (- a t)))
414.0ms	(cbrt (/ (- z t) (- a t)))

simplify734.0ms

Counts: 288 → 288

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.7b	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-prod`
70×	`add-sqr-sqrt` `*-un-lft-identity`
51×	`times-frac`
28×	`add-cube-cbrt`
21×	`distribute-lft-out--` `difference-of-squares`
17×	`cbrt-div`
12×	`associate-/r/`
9×	`flip3--` `flip--`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`div-inv`
2×	`associate-r/` `associate-l/`

Counts

4 → 117

Calls

4 calls:

6.0ms	(cbrt (- z t))
41.0ms	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))
15.0ms	(cbrt (/ (- z t) (- a t)))
16.0ms	(cbrt (/ (- z t) (- a t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (- z t))
345.0ms	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))
405.0ms	(cbrt (/ (- z t) (- a t)))
417.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.2s

Counts: 129 → 129

prune906.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes354.0ms

Accuracy

-590.3% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.1s

end0.0ms

sample1.2s

Algorithm

intervals

Results

444.0ms	8713×	body	80	valid
0.0ms	1×	body	160	valid