Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

275×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	105	13
4	177	13
5	258	13
6	398	13
7	595	13
8	840	13
9	1061	13
10	1188	13
11	1227	13
12	1232	13
done	1232	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
8.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `frac-2neg` `div-sub` `clear-num` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 175

Calls

2 calls:

100.0ms	(/ (+ (- t z) 1.0) a)
83.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series258.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (+ (- t z) 1.0) a)
209.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.3s

Counts

181 → 181

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	226	3548
1	613	3316
2	1991	3192
done	5000	3174

prune435.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
0.7b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

51.0ms	(/ (- y z) (+ (- t z) 1.0))
113.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series234.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- y z) (+ (- t z) 1.0))
174.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: 3 (980.0ms)

Iter	Nodes	Cost
0	144	1551
1	377	1501
2	1092	1391
3	3723	1387
done	5000	1387

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
7.6b	(* (/ a (+ (- t z) 1.0)) (- y z))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

53.0ms	(/ a (+ (- t z) 1.0))
114.0ms	(* (/ a (+ (- t z) 1.0)) (- y z))

series227.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ a (+ (- t z) 1.0))
174.0ms	(* (/ a (+ (- t z) 1.0)) (- y z))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	155	1295
1	409	1255
2	1377	1153
done	5000	1135

prune261.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sqrt (- y z)) (+ (- t z) 1.0))
0.7b	(* (/ (sqrt (- y z)) (+ (- t z) 1.0)) a)
1.6b	(* (/ (sqrt (- y z)) 1) (* (/ (sqrt (- y z)) (+ (- t z) 1.0)) a))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

172×	`*-un-lft-identity`
106×	`times-frac`
95×	`add-sqr-sqrt`
74×	`associate-l`
71×	`sqrt-prod`
59×	`add-cube-cbrt`
40×	`add-exp-log`
34×	`distribute-lft-out`
31×	`add-cbrt-cube` `distribute-lft-out--`
17×	`prod-exp`
14×	`difference-of-squares`
12×	`cbrt-unprod`
11×	`div-exp`
10×	`pow1`
8×	`associate-/l*`
7×	`cbrt-undiv`
5×	`associate-/r*`
4×	`associate-r` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`1-exp` `div-inv` `add-log-exp` `unswap-sqr`
2×	`flip3-+` `sqrt-div` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-times` `flip3--` `frac-2neg` `associate-*r/` `clear-num` `flip--`

Counts

3 → 192

Calls

3 calls:

68.0ms	(/ (sqrt (- y z)) (+ (- t z) 1.0))
149.0ms	(* (/ (sqrt (- y z)) (+ (- t z) 1.0)) a)
183.0ms	(* (/ (sqrt (- y z)) 1) (* (/ (sqrt (- y z)) (+ (- t z) 1.0)) a))

series591.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(/ (sqrt (- y z)) (+ (- t z) 1.0))
260.0ms	(* (/ (sqrt (- y z)) (+ (- t z) 1.0)) a)
165.0ms	(* (/ (sqrt (- y z)) 1) (* (/ (sqrt (- y z)) (+ (- t z) 1.0)) a))

simplify1.6s

Counts

201 → 201

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	250	3712
1	606	3116
2	1765	2832
done	5000	2822

prune540.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	14	13
done	14	13

end0.0ms

sample1.3s

Algorithm

intervals

Results

957.0ms	8501×	body	80	valid
0.0ms	1×	body	640	valid