Details

sample40.0ms

Algorithm

intervals

Results

16.0ms

281×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
29	4873
28	4661
27	4456
26	4244
25	4037
24	3825
23	3620
22	3408
21	3199
20	2984
19	2775
18	2560
17	2343
16	2094
15	1816
14	1445
13	1266
12	898
11	542
10	315
9	258
8	217
7	197
6	168
5	129
4	86
3	53
2	34
1	20
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.8b	(* y (/ (- z t) (- a t)))

rewrite69.0ms

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:

29.0ms	(/ (- z t) (- a t))
35.0ms	(* y (/ (- z t) (- a t)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (- z t) (- a t))
87.0ms	(* y (/ (- z t) (- a t)))

simplify2.9s

Counts

108 → 108

Iterations

Iter	Nodes
done	5036
3	4739
2	1149
1	367
0	138

prune650.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
1.8b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 327

Calls

3 calls:

19.0ms	(/ (- a t) (- z t))
22.0ms	(/ 1 (/ (- a t) (- z t)))
128.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series488.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (- a t) (- z t))
174.0ms	(/ 1 (/ (- a t) (- z t)))
234.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify2.2s

Counts

336 → 336

Iterations

Iter	Nodes
done	5012
2	2594
1	1005
0	351

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
10.9b	(* (/ y (- a t)) (- z t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

9.0ms	(/ y (- a t))
36.0ms	(* (/ y (- a t)) (- z t))

series295.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ y (- a t))
247.0ms	(* (/ y (- a t)) (- z t))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1270
1	365
0	142

prune594.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.1b	(/ (* y (- z t)) (- a t))

rewrite71.0ms

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:

28.0ms	(* y (- z t))
39.0ms	(/ (* y (- z t)) (- a t))

series167.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* y (- z t))
103.0ms	(/ (* y (- z t)) (- a t))

simplify2.3s

Counts

61 → 61

Iterations

Iter	Nodes
done	5044
3	3435
2	810
1	273
0	105

prune341.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes623.0ms

Accuracy

65.4% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.6b

bsearch75.0ms

Steps

Iters	Range		Point
7	2.158100513542887e-116	2.456528360242447e-114	4.6464419779335e-115
6	-409088.2864877689	-84463.33967257517	-320690.3518928323

simplify7.0ms

Iterations

Iter	Nodes
done	30
1	30
0	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

574.0ms	8718×	body	80	valid
0.0ms	1×	body	1280	valid