Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

260×

body

valid

simplify41.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
2.6b	(/ (* y b) t)
5.3b	(/ (* y z) t)
11.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite129.0ms

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:

9.0ms	(+ x (/ (* y z) t))
15.0ms	(/ (* y b) t)
16.0ms	(/ (* y z) t)
85.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (/ (* y z) t))
27.0ms	(/ (* y b) t)
20.0ms	(/ (* y z) t)
118.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.2s

Counts

113 → 113

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	179	1803
1	476	1721
2	2229	1609
done	5001	1599

prune339.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
2.6b	(/ (* y b) t)
3.4b	(/ y (/ t z))
11.6b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite198.0ms

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

Counts

4 → 150

Calls

4 calls:

24.0ms	(+ x (/ y (/ t z)))
13.0ms	(/ (* y b) t)
15.0ms	(/ y (/ t z))
133.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (/ y (/ t z)))
22.0ms	(/ (* y b) t)
21.0ms	(/ y (/ t z))
328.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.2s

Counts

162 → 162

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	278	2491
1	727	2367
2	3333	2225
done	5000	2221

prune648.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
3.4b	(/ y (/ t z))
4.9b	(* y (/ b t))
11.6b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

22.0ms	(+ x (/ y (/ t z)))
12.0ms	(/ y (/ t z))
26.0ms	(* y (/ b t))
131.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (/ y (/ t z)))
35.0ms	(/ y (/ t z))
23.0ms	(* y (/ b t))
325.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

simplify1.4s

Counts

163 → 163

Iterations

Useful iterations: 2 (553.0ms)

Iter	Nodes	Cost
0	298	2354
1	785	2244
2	3449	2094
done	5000	2094

prune627.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ 1 t) (* z y)))
2.6b	(/ (* y b) t)
5.3b	(* (/ 1 t) (* z y))
11.6b	(/ (+ x (* (/ 1 t) (* z y))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

7.0ms	(+ x (* (/ 1 t) (* z y)))
12.0ms	(/ (* y b) t)
27.0ms	(* (/ 1 t) (* z y))
79.0ms	(/ (+ x (* (/ 1 t) (* z y))) (+ (+ a 1.0) (/ (* y b) t)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ x (* (/ 1 t) (* z y)))
22.0ms	(/ (* y b) t)
24.0ms	(* (/ 1 t) (* z y))
119.0ms	(/ (+ x (* (/ 1 t) (* z y))) (+ (+ a 1.0) (/ (* y b) t)))

simplify2.0s

Counts

122 → 122

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	207	2006
1	578	1903
2	3197	1543
done	5001	1529

prune379.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.7b

regimes366.0ms

Accuracy

58.1% (2.5b remaining)

Error of 12.7b against oracle of 10.2b and baseline of 16.1b

bsearch96.0ms

Steps

Iters	Range		Point
6	1.094051578121186e+34	1.7248173307034644e+35	2.2447358570953045e+34
8	-1.889851199290905e-70	-4.28189121016468e-73	-1.8152162338229537e-70

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	31	63
1	45	47
done	45	47

end0.0ms

sample1.3s

Algorithm

intervals

Results

730.0ms

8280×

body

valid