Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

268×

body

valid

simplify43.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.2b	(/ (* y z) t)
4.5b	(/ (* y b) t)
11.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

51.0ms	(+ (+ a 1.0) (/ (* y b) t))
15.0ms	(/ (* y z) t)
10.0ms	(/ (* y b) t)
84.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (+ a 1.0) (/ (* y b) t))
29.0ms	(/ (* y z) t)
33.0ms	(/ (* y b) t)
151.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify813.0ms

Counts: 118 → 118

prune363.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.1b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (/ t (* y z)))
3.7b	(/ t (* y z))
4.5b	(/ (* y b) t)
11.2b	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
64×	`times-frac`
37×	`add-exp-log`
36×	`add-sqr-sqrt` `add-cube-cbrt`
30×	`distribute-lft-out`
25×	`add-cbrt-cube`
17×	`div-exp`
16×	`associate-/r*`
14×	`div-inv`
12×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 151

Calls

4 calls:

16.0ms	(/ 1 (/ t (* y z)))
8.0ms	(/ t (* y z))
17.0ms	(/ (* y b) t)
128.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (/ t (* y z)))
32.0ms	(/ t (* y z))
27.0ms	(/ (* y b) t)
191.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify901.0ms

Counts: 163 → 163

prune763.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.1b

localize38.0ms

Local error

Found 4 expressions with local error:

11.2b	(/ (+ x (* (* (cbrt (/ 1 (/ t (* y z)))) (cbrt (/ 1 (/ t (* y z))))) (cbrt (/ 1 (/ t (* y z)))))) (+ (+ a 1.0) (/ (* y b) t)))
20.7b	(cbrt (/ 1 (/ t (* y z))))
20.7b	(cbrt (/ 1 (/ t (* y z))))
20.7b	(cbrt (/ 1 (/ t (* y z))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

105×	`times-frac`
78×	`cbrt-prod`
76×	`*-un-lft-identity`
56×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`div-inv`
12×	`distribute-lft-out`
7×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `add-log-exp`
3×	`cbrt-div` `flip3-+` `pow1/3` `flip-+` `associate-/l*`
2×	`frac-add` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 146

Calls

4 calls:

97.0ms	(/ (+ x (* (* (cbrt (/ 1 (/ t (* y z)))) (cbrt (/ 1 (/ t (* y z))))) (cbrt (/ 1 (/ t (* y z)))))) (+ (+ a 1.0) (/ (* y b) t)))
15.0ms	(cbrt (/ 1 (/ t (* y z))))
22.0ms	(cbrt (/ 1 (/ t (* y z))))
14.0ms	(cbrt (/ 1 (/ t (* y z))))

series546.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/ (+ x (* (* (cbrt (/ 1 (/ t (* y z)))) (cbrt (/ 1 (/ t (* y z))))) (cbrt (/ 1 (/ t (* y z)))))) (+ (+ a 1.0) (/ (* y b) t)))
109.0ms	(cbrt (/ 1 (/ t (* y z))))
109.0ms	(cbrt (/ 1 (/ t (* y z))))
110.0ms	(cbrt (/ 1 (/ t (* y z))))

simplify781.0ms

Counts: 158 → 158

prune889.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 10.1b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (/ t (* y z)))
3.7b	(/ t (* y z))
4.5b	(/ (* y b) t)
11.3b	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ 1 (/ t (* y z)))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
64×	`times-frac`
37×	`add-exp-log`
36×	`add-sqr-sqrt` `add-cube-cbrt`
30×	`distribute-lft-out`
25×	`add-cbrt-cube`
17×	`div-exp`
16×	`associate-/r*`
14×	`div-inv`
12×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp`
4×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `associate-/r/` `cbrt-unprod` `flip-+`
2×	`frac-add`
1×	`pow-flip` `inv-pow`

Counts

4 → 151

Calls

4 calls:

16.0ms	(/ 1 (/ t (* y z)))
12.0ms	(/ t (* y z))
14.0ms	(/ (* y b) t)
150.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ 1 (/ t (* y z)))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1 (/ t (* y z)))
28.0ms	(/ t (* y z))
28.0ms	(/ (* y b) t)
105.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ 1 (/ t (* y z)))))

simplify982.0ms

Counts: 163 → 163

prune463.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 10.1b

regimes400.0ms

Accuracy

-0.3% (5.9b remaining)

Error of 16.7b against oracle of 10.7b and baseline of 16.6b

bsearch177.0ms

Steps

Iters	Range		Point
9	9.128863613215246e-280	1.3274478803688314e-270	1.4011460130569624e-277
9	-2.4130282838688813e-84	-9.184112235424189e-91	-2.257511494416316e-88

simplify608.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

770.0ms

8287×

body

valid