Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

277×

body

valid

simplify889.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	36	10
3	58	10
4	95	10
5	138	10
6	190	10
7	215	10
8	245	10
9	281	10
10	372	10
11	488	10
12	594	10
13	748	10
14	779	10
15	780	10
done	780	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.2b	(* y (/ (- z t) (- z a)))

rewrite44.0ms

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-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

12.0ms	(/ (- z t) (- z a))
26.0ms	(* y (/ (- z t) (- z a)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- z t) (- z a))
68.0ms	(* y (/ (- z t) (- z a)))

simplify1.7s

Counts

112 → 112

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	142	1355
1	359	1282
2	1133	1200
3	4414	1200
done	5000	1198

prune262.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
7.8b	(* (- z t) (/ y (- z a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-l` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 87

Calls

2 calls:

5.0ms	(/ y (- z a))
24.0ms	(* (- z t) (/ y (- z a)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ y (- z a))
60.0ms	(* (- z t) (/ y (- z a)))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	134	1009
1	306	962
2	1140	888
3	4971	888
done	5000	888

prune254.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
3.8b	(* (cbrt (- z t)) (/ y (- z a)))
4.1b	(* (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z t)) (/ y (- z a))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
59×	`flip3--` `flip--`
40×	`associate-*l/`
39×	`add-sqr-sqrt`
30×	`add-exp-log`
29×	`*-un-lft-identity`
27×	`associate-*r/`
22×	`associate-r`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod` `add-cube-cbrt` `times-frac`
15×	`prod-exp` `cbrt-unprod`
9×	`associate-l` `pow-prod-down`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`div-inv`

Counts

4 → 168

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
25.0ms	(* (cbrt (- z t)) (/ y (- z a)))
56.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z t)) (/ y (- z a))))

series763.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (- z t))
154.0ms	(cbrt (- z t))
391.0ms	(* (cbrt (- z t)) (/ y (- z a)))
59.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z t)) (/ y (- z a))))

simplify714.0ms

Counts

180 → 180

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	280	4162
1	750	3953
2	2182	3499
done	5000	3499

prune583.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.0b	(* (- z t) y)
9.8b	(* (* (- z t) y) (/ 1 (- z a)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`add-exp-log`
30×	`times-frac`
24×	`add-cube-cbrt` `associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-*l/` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l`
5×	`flip3--` `associate-/r*` `flip--`
4×	`pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`frac-times` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

3 → 119

Calls

3 calls:

6.0ms	(/ 1 (- z a))
10.0ms	(* (- z t) y)
26.0ms	(* (* (- z t) y) (/ 1 (- z a)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- z a))
33.0ms	(* (- z t) y)
60.0ms	(* (* (- z t) y) (/ 1 (- z a)))

simplify855.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	164	1387
1	426	1157
2	1462	1013
done	5001	1013

prune274.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes183.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample535.0ms

Algorithm

intervals

Results

270.0ms	8737×	body	80	valid
0.0ms	1×	body	320	valid