Details

sample43.0ms

Algorithm

intervals

Results

18.0ms

341×

body

valid

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	15	7
2	34	7
3	71	7
4	97	7
5	103	7
done	103	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
6.1b	(* (* y (- x z)) t)

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-r`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-l/` `-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

37.0ms	(* y (- x z))
353.0ms	(* (* y (- x z)) t)

series111.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (- x z))
71.0ms	(* (* y (- x z)) t)

simplify2.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	81	452
1	192	428
2	681	366
3	3642	366
done	5000	366

prune168.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
5.3b	(* y (* (- x z) t))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-l`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

23.0ms	(* (- x z) t)
53.0ms	(* y (* (- x z) t))

series109.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (- x z) t)
74.0ms	(* y (* (- x z) t))

simplify2.9s

Counts

48 → 48

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	77	417
1	182	403
2	680	337
3	3374	337
done	5002	337

prune156.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.5b	(* (cbrt y) (* (- x z) t))
3.0b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`associate-*r/`
4×	`associate-*l/` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
66.0ms	(* (cbrt y) (* (- x z) t))
152.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series903.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt y)
255.0ms	(cbrt y)
218.0ms	(* (cbrt y) (* (- x z) t))
105.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify1.5s

Counts

87 → 87

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	113	1029
1	299	986
2	1194	693
done	5001	589

prune312.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
2.5b	(* (cbrt y) (* (- x z) t))
3.0b	(* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (- x z) t)))

rewrite626.0ms

Algorithm

rewrite-expression-head

Rules

63×	`pow1` `add-exp-log`
45×	`pow-prod-down` `prod-exp` `cbrt-unprod`
32×	`add-cbrt-cube`
21×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`associate-*r/`
4×	`associate-*l/` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 99

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
42.0ms	(* (cbrt y) (* (- x z) t))
569.0ms	(* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (- x z) t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

392.0ms	(cbrt (cbrt y))
408.0ms	(cbrt (cbrt y))
299.0ms	(* (cbrt y) (* (- x z) t))
110.0ms	(* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (- x z) t)))

simplify1.7s

Counts

111 → 111

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	155	2089
1	417	2017
2	1834	1234
done	5000	813

prune363.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.0b

regimes415.0ms

Accuracy

58.6% (2.8b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 6.8b

bsearch99.0ms

Steps

Iters	Range		Point
5	6.631390586326195e-09	2.5433111266737603e-08	6.96783439073004e-09
9	-6.879487246984731e-58	-2.3593822900773076e-66	-2.0652999548599883e-58

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	31
1	26	23
done	26	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

584.0ms

10667×

body

valid