Details

sample51.0ms

Algorithm

intervals

Results

22.0ms

267×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	38	17
3	47	17
4	49	17
done	49	17

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
3.4b	(/ (* y b) t)
5.5b	(/ (* y z) t)
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite130.0ms

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:

34.0ms	(+ (+ a 1.0) (/ (* y b) t))
10.0ms	(/ (* y b) t)
10.0ms	(/ (* y z) t)
73.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (+ a 1.0) (/ (* y b) t))
30.0ms	(/ (* y b) t)
28.0ms	(/ (* y z) t)
140.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.1s

Counts

118 → 118

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	187	1935
1	490	1857
2	2369	1733
done	5000	1721

prune420.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
3.4b	(/ (* y b) t)
5.5b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.9b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
46×	`times-frac`
32×	`add-exp-log` `add-cube-cbrt`
25×	`add-cbrt-cube`
22×	`associate-r`
14×	`cbrt-prod`
12×	`distribute-lft-out`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r*`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/`
1×	`frac-times` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 132

Calls

4 calls:

1.0ms	(cbrt t)
15.0ms	(/ (* y b) t)
71.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
87.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series740.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt t)
30.0ms	(/ (* y b) t)
68.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
391.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify2.4s

Counts

144 → 144

Iterations

Useful iterations: 2 (689.0ms)

Iter	Nodes	Cost
0	263	2807
1	791	2708
2	4758	2242
done	5001	2242

prune668.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 10.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
3.4b	(/ (* y b) t)
6.6b	(/ y (/ t z))
11.9b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

35.0ms	(+ (+ a 1.0) (/ (* y b) t))
15.0ms	(/ (* y b) t)
14.0ms	(/ y (/ t z))
150.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (+ a 1.0) (/ (* y b) t))
26.0ms	(/ (* y b) t)
23.0ms	(/ y (/ t z))
299.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.5s

Counts

167 → 167

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	286	2623
1	743	2503
2	3640	2349
done	5001	2345

prune583.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (/ y t) (/ 1 z)))
3.4b	(/ (* y b) t)
6.8b	(/ (/ y t) (/ 1 z))
11.9b	(/ (+ x (/ (/ y t) (/ 1 z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite443.0ms

Algorithm

rewrite-expression-head

Rules

444×	`times-frac`
252×	`*-un-lft-identity`
213×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`add-exp-log`
31×	`div-inv`
23×	`add-cbrt-cube`
22×	`distribute-lft-out`
21×	`associate-/r*`
19×	`div-exp`
18×	`associate-/l*`
11×	`cbrt-undiv`
6×	`add-log-exp`
5×	`associate-/r/`
4×	`pow1` `flip3-+` `flip-+`
3×	`frac-2neg` `clear-num` `associate-/l/`
2×	`rec-exp` `1-exp` `frac-add`
1×	`+-commutative` `prod-exp` `sum-log` `cbrt-unprod`

Counts

4 → 299

Calls

4 calls:

88.0ms	(+ x (/ (/ y t) (/ 1 z)))
15.0ms	(/ (* y b) t)
18.0ms	(/ (/ y t) (/ 1 z))
291.0ms	(/ (+ x (/ (/ y t) (/ 1 z))) (+ (+ a 1.0) (/ (* y b) t)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ x (/ (/ y t) (/ 1 z)))
32.0ms	(/ (* y b) t)
39.0ms	(/ (/ y t) (/ 1 z))
352.0ms	(/ (+ x (/ (/ y t) (/ 1 z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify923.0ms

Counts

311 → 311

Iterations

Useful iterations: done (907.0ms)

Iter	Nodes	Cost
0	533	5895
1	1756	5145
done	5001	4367

prune858.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.2b

regimes446.0ms

Accuracy

53.2% (2.8b remaining)

Error of 13.3b against oracle of 10.4b and baseline of 16.5b

bsearch142.0ms

Steps

Iters	Range		Point
9	9.583765689332696e-69	2.3728196451859003e-59	2.8880502616752484e-62
10	-2.175355980514056e-57	-6.739795712749816e-68	-8.926403496931374e-63

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	31	82
1	42	66
done	42	66

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

8256×

body

valid