Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

266×

body

valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
5	47
4	45
3	41
2	35
1	26
0	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.5b	(/ (* y b) t)
4.4b	(/ (* y z) t)
8.7b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite94.0ms

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-cbrt-cube` `add-exp-log`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`clear-num` `frac-2neg` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

11.0ms	(+ x (/ (* y z) t))
11.0ms	(/ (* y b) t)
10.0ms	(/ (* y z) t)
57.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ x (/ (* y z) t))
22.0ms	(/ (* y b) t)
22.0ms	(/ (* y z) t)
128.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	5011
2	1744
1	476
0	179

prune710.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
3.5b	(/ (* y b) t)
4.4b	(/ (* y z) t)
8.8b	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
38×	`times-frac`
35×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`associate-r`
22×	`distribute-lft-out`
21×	`add-cbrt-cube`
11×	`associate-/r*`
8×	`div-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `flip3-+` `prod-exp` `flip-+`
5×	`associate-/l*`
4×	`associate-l` `frac-add` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `unswap-sqr`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 136

Calls

4 calls:

33.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
7.0ms	(/ (* y b) t)
7.0ms	(/ (* y z) t)
96.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
32.0ms	(/ (* y b) t)
20.0ms	(/ (* y z) t)
141.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify1.7s

Counts

148 → 148

Iterations

Iter	Nodes
done	5006
2	2265
1	610
0	217

prune834.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
3.5b	(/ (* y b) t)
4.9b	(/ y (/ t z))
8.7b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

19.0ms	(+ x (/ y (/ t z)))
12.0ms	(/ (* y b) t)
15.0ms	(/ y (/ t z))
103.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (/ y (/ t z)))
34.0ms	(/ (* y b) t)
23.0ms	(/ y (/ t z))
349.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.7s

Counts

162 → 162

Iterations

Iter	Nodes
done	5002
2	2215
1	721
0	278

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
3.5b	(/ (* y b) t)
4.9b	(/ y (/ t z))
8.8b	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
106×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`associate-r`
22×	`distribute-lft-out`
21×	`associate-/r*` `add-cbrt-cube`
9×	`div-exp` `associate-/r/`
8×	`div-inv`
7×	`pow1` `cbrt-undiv` `associate-/l*`
6×	`flip3-+` `flip-+`
5×	`prod-exp`
4×	`associate-l` `frac-add` `add-log-exp`
3×	`clear-num` `frac-2neg` `cbrt-unprod` `unswap-sqr`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 185

Calls

4 calls:

32.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
7.0ms	(/ (* y b) t)
7.0ms	(/ y (/ t z))
149.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
30.0ms	(/ (* y b) t)
34.0ms	(/ y (/ t z))
282.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify2.1s

Counts

197 → 197

Iterations

Iter	Nodes
done	5005
2	2896
1	846
0	316

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

regimes1.0s

Accuracy

57.6% (3.0b remaining)

Error of 13.2b against oracle of 10.2b and baseline of 17.2b

bsearch167.0ms

Steps

Iters	Range		Point
11	2.207834127578979e-102	1.4861608940541164e-78	6.270483262385894e-82
9	-3.1624515398340715e-67	-1.3331108458351778e-72	-5.2008856999987334e-71

simplify11.0ms

Iterations

Iter	Nodes
done	47
1	47
0	33

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8286×

body

valid