Details

sample74.0ms

Algorithm

intervals

Results

31.0ms	255×	body	80	valid
10.0ms	21×	body	640	valid
5.0ms	13×	body	320	valid
3.0ms	5×	body	1280	valid
1.0ms	4×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1598
5	656
4	266
3	103
2	43
1	20
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.6b	(/ (* (- y x) (- z t)) (- a t))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-l*` `add-log-exp`
4×	`associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
3×	`insert-posit16`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

48.0ms	(* (- y x) (- z t))
16.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
24.0ms	(/ (* (- y x) (- z t)) (- a t))

series426.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (- y x) (- z t))
221.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
158.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5008
2	1910
1	483
0	165

prune573.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.5b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.1b	(/ (- y x) (/ (- a t) (- z t)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 277

Calls

3 calls:

17.0ms	(/ (- a t) (- z t))
28.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
31.0ms	(/ (- y x) (/ (- a t) (- z t)))

series542.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (- a t) (- z t))
194.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
278.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify2.2s

Counts

286 → 286

Iterations

Iter	Nodes
done	5000
2	3752
1	1149
0	357

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.4b	(/ x (/ (- a t) (- z t)))
1.5b	(- (+ x (/ y (/ (- a t) (- z t)))) (/ x (/ (- a t) (- z t))))
2.1b	(/ y (/ (- a t) (- z t)))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

414×	`times-frac`
361×	`add-sqr-sqrt`
357×	`*-un-lft-identity`
168×	`add-cube-cbrt`
95×	`difference-of-squares`
94×	`distribute-lft-out--`
67×	`associate-/r*`
20×	`associate-/r/`
16×	`add-cbrt-cube` `add-exp-log`
11×	`flip3--` `div-inv` `flip--` `associate-/l*`
9×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `insert-posit16`
3×	`clear-num` `frac-2neg`
2×	`diff-log` `frac-sub` `associate-/l/`
1×	`sum-log` `sub-neg` `flip3-+` `div-sub` `associate--l+` `flip-+` `distribute-lft-out`

Counts

4 → 361

Calls

4 calls:

25.0ms	(/ (- a t) (- z t))
16.0ms	(/ x (/ (- a t) (- z t)))
293.0ms	(- (+ x (/ y (/ (- a t) (- z t)))) (/ x (/ (- a t) (- z t))))
23.0ms	(/ y (/ (- a t) (- z t)))

series714.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (- a t) (- z t))
204.0ms	(/ x (/ (- a t) (- z t)))
232.0ms	(- (+ x (/ y (/ (- a t) (- z t)))) (/ x (/ (- a t) (- z t))))
213.0ms	(/ y (/ (- a t) (- z t)))

simplify2.0s

Counts

373 → 373

Iterations

Iter	Nodes
done	5002
2	4853
1	1308
0	473

prune1.7s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.4b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(+ x (* (- y x) (/ (- z t) (- a t))))
2.2b	(* (- y x) (/ (- z t) (- a t)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`insert-posit16`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

25.0ms	(/ (- z t) (- a t))
10.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
54.0ms	(* (- y x) (/ (- z t) (- a t)))

series433.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- z t) (- a t))
219.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
158.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify1.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	1723
1	506
0	186

prune557.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 4.4b

regimes537.0ms

Accuracy

14.6% (6.6b remaining)

Error of 10.9b against oracle of 4.3b and baseline of 12.0b

bsearch134.0ms

Steps

Iters	Range		Point
4	1.091109593115981e-157	1.7822550191445485e-157	1.7492318001765757e-157
9	-5.015331337804172e-270	-4.95819347224343e-275	-4.95393039354896e-270

simplify5.0ms

Iterations

Iter	Nodes
done	37
1	37
0	32

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s	7726×	body	80	valid
177.0ms	517×	body	640	valid
118.0ms	410×	body	320	valid
110.0ms	291×	body	1280	valid
61.0ms	265×	body	160	valid
26.0ms	12×	body	2560	valid