Details

sample45.0ms

Algorithm

intervals

Results

20.0ms

269×

body

valid

simplify1.9s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.5b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite192.0ms

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:

99.0ms	(/ (+ (- t z) 1.0) a)
77.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series238.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (+ (- t z) 1.0) a)
194.0ms	(/ (- 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

prune457.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
0.2b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite187.0ms

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:

60.0ms	(/ (- y z) (+ (- t z) 1.0))
120.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series229.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- y z) (+ (- t z) 1.0))
154.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: 3 (977.0ms)

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

prune309.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
0.0b	(/ z (+ (- t z) 1.0))
0.0b	(/ y (+ (- t z) 1.0))
0.2b	(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

186×	`*-un-lft-identity`
82×	`times-frac`
56×	`add-sqr-sqrt`
44×	`distribute-lft-out--`
40×	`distribute-lft-out`
30×	`add-cube-cbrt`
22×	`associate-l`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`difference-of-squares`
6×	`pow1` `distribute-rgt-out--` `flip3-+` `flip-+` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*l/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

320.0ms	(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
52.0ms	(/ z (+ (- t z) 1.0))
41.0ms	(/ y (+ (- t z) 1.0))
1.1s	(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

series368.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
68.0ms	(/ z (+ (- t z) 1.0))
46.0ms	(/ y (+ (- t z) 1.0))
140.0ms	(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

simplify2.4s

Counts

160 → 160

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	203	2600
1	455	2504
2	1242	2360
3	3633	2338
done	5000	2338

prune450.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
8.5b	(* (/ a (+ (- t z) 1.0)) (- y z))

rewrite157.0ms

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:

42.0ms	(/ a (+ (- t z) 1.0))
110.0ms	(* (/ a (+ (- t z) 1.0)) (- y z))

series213.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ a (+ (- t z) 1.0))
161.0ms	(* (/ a (+ (- t z) 1.0)) (- y z))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

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

prune287.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	19
1	15	19
done	15	19

end0.0ms

sample1.4s

Algorithm

intervals

Results

819.0ms	8455×	body	80	valid
0.0ms	2×	body	640	valid