Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

260×

body

valid

simplify3.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
5.7b	(/ (* y b) t)
6.2b	(/ (* y z) t)
12.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

13.0ms	(+ x (/ (* y z) t))
15.0ms	(/ (* y b) t)
16.0ms	(/ (* y z) t)
92.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ (* y z) t))
23.0ms	(/ (* y b) t)
28.0ms	(/ (* y z) t)
132.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify48.0ms

Counts: 113 → 113

prune400.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
5.6b	(* y (/ z t))
5.7b	(/ (* y b) t)
12.1b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-lft-out`
8×	`associate-/r*`
6×	`pow1` `add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+` `associate-/l*`
3×	`associate-l` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 105

Calls

4 calls:

9.0ms	(+ x (* y (/ z t)))
21.0ms	(* y (/ z t))
16.0ms	(/ (* y b) t)
404.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (* y (/ z t)))
27.0ms	(* y (/ z t))
29.0ms	(/ (* y b) t)
159.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify53.0ms

Counts: 117 → 117

prune393.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
5.1b	(/ y (/ t b))
5.6b	(* y (/ z t))
12.1b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
84×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
18×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-lft-out`
7×	`div-inv`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `associate-/r/`
4×	`flip3-+` `flip-+`
3×	`associate-l`
2×	`frac-2neg` `frac-add` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 154

Calls

4 calls:

8.0ms	(+ x (* y (/ z t)))
11.0ms	(/ y (/ t b))
23.0ms	(* y (/ z t))
114.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ x (* y (/ z t)))
28.0ms	(/ y (/ t b))
30.0ms	(* y (/ z t))
149.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

simplify60.0ms

Counts: 166 → 166

prune660.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
2.2b	(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))
5.6b	(* y (/ z t))
12.1b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
193×	`*-un-lft-identity`
178×	`add-sqr-sqrt`
173×	`add-cube-cbrt`
75×	`cbrt-prod`
34×	`div-inv`
32×	`add-exp-log`
27×	`associate-/r*`
25×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
13×	`associate-r`
12×	`distribute-lft-out`
10×	`associate-/l*`
6×	`pow1`
5×	`associate-/r/`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3-+` `associate-l` `flip-+` `associate-/l/`
2×	`frac-2neg` `frac-add` `clear-num` `unswap-sqr`
1×	`pow1/3` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 291

Calls

4 calls:

1.0ms	(cbrt t)
30.0ms	(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))
21.0ms	(* y (/ z t))
257.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt t)
61.0ms	(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))
27.0ms	(* y (/ z t))
173.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) b))))

simplify70.0ms

Counts: 303 → 303

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.4b

regimes650.0ms

Accuracy

-7.4% (6.8b remaining)

Error of 16.2b against oracle of 9.4b and baseline of 15.8b

bsearch129.0ms

Steps

Iters	Range		Point
8	2.2077916412362476e-79	9.407379118720616e-76	3.2340090645127487e-76
5	-1.6539044843003744e+174	-7.395671710179388e+173	-7.486616378004148e+173

simplify52.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

778.0ms

8289×

body

valid