Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

282×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
28	4960
27	4766
26	4563
25	4371
24	4168
23	3974
22	3771
21	3579
20	3374
19	3178
18	2963
17	2727
16	2476
15	2172
14	1837
13	1584
12	1041
11	630
10	390
9	314
8	258
7	221
6	185
5	131
4	87
3	54
2	35
1	21
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 102

Calls

2 calls:

17.0ms	(/ (- z t) (- z a))
39.0ms	(* y (/ (- z t) (- z a)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- z t) (- z a))
72.0ms	(* y (/ (- z t) (- z a)))

simplify2.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
3	4806
2	1150
1	369
0	138

prune446.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

2.1b	(* y (/ (- z t) (- z a)))
6.7b	(cbrt (* y (/ (- z t) (- z a))))
6.7b	(cbrt (* y (/ (- z t) (- z a))))
6.7b	(cbrt (* y (/ (- z t) (- z a))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `flip--`

Counts

4 → 80

Calls

4 calls:

54.0ms	(* y (/ (- z t) (- z a)))
16.0ms	(cbrt (* y (/ (- z t) (- z a))))
16.0ms	(cbrt (* y (/ (- z t) (- z a))))
16.0ms	(cbrt (* y (/ (- z t) (- z a))))

series645.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* y (/ (- z t) (- z a)))
204.0ms	(cbrt (* y (/ (- z t) (- z a))))
182.0ms	(cbrt (* y (/ (- z t) (- z a))))
169.0ms	(cbrt (* y (/ (- z t) (- z a))))

simplify2.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
3	3800
2	970
1	308
0	124

prune728.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize135.0ms

Local error

Found 4 expressions with local error:

2.1b	(* y (/ (- z t) (- z a)))
6.7b	(cbrt (* y (/ (- z t) (- z a))))
6.7b	(cbrt (* y (/ (- z t) (- z a))))
6.7b	(cbrt (* (* y (* (/ (cbrt (- z t)) (cbrt (- z a))) (/ (cbrt (- z t)) (cbrt (- z a))))) (/ (cbrt (- z t)) (cbrt (- z a)))))

rewrite407.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
12×	`associate-*r/`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`frac-times` `associate-*l/`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `flip--`

Counts

4 → 86

Calls

4 calls:

34.0ms	(* y (/ (- z t) (- z a)))
10.0ms	(cbrt (* y (/ (- z t) (- z a))))
10.0ms	(cbrt (* y (/ (- z t) (- z a))))
352.0ms	(cbrt (* (* y (* (/ (cbrt (- z t)) (cbrt (- z a))) (/ (cbrt (- z t)) (cbrt (- z a))))) (/ (cbrt (- z t)) (cbrt (- z a)))))

series598.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* y (/ (- z t) (- z a)))
162.0ms	(cbrt (* y (/ (- z t) (- z a))))
192.0ms	(cbrt (* y (/ (- z t) (- z a))))
174.0ms	(cbrt (* (* y (* (/ (cbrt (- z t)) (cbrt (- z a))) (/ (cbrt (- z t)) (cbrt (- z a))))) (/ (cbrt (- z t)) (cbrt (- z a)))))

simplify2.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5002
3	4895
2	1170
1	380
0	161

prune785.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
12.1b	(/ (* y (- z t)) (- z a))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-cube-cbrt`
5×	`associate-/r` `times-frac` `associate-r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

23.0ms	(* y (- z t))
28.0ms	(/ (* y (- z t)) (- z a))

series120.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- z t))
81.0ms	(/ (* y (- z t)) (- z a))

simplify1.7s

Counts

61 → 61

Iterations

Iter	Nodes
done	5004
3	3465
2	816
1	276
0	105

prune277.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes598.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample846.0ms

Algorithm

intervals

Results

450.0ms

8773×

body

valid