Details

sample54.0ms

Algorithm

intervals

Results

21.0ms

274×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (88.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	265	12
5	959	12
6	4331	12
done	5000	12

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.1b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

111.0ms	(/ (- z y) (+ (- t z) 1.0))
1.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series269.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(/ (- z y) (+ (- t z) 1.0))
180.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify1.1s

Counts

70 → 70

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	116	1048
1	284	1006
2	1028	942
done	5001	936

prune521.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.9b	(* a (/ (- z y) (+ (- t z) 1.0)))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
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-l`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 106

Calls

2 calls:

105.0ms	(/ (- z y) (+ (- t z) 1.0))
200.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

series249.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(/ (- z y) (+ (- t z) 1.0))
158.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

simplify1.7s

Counts

112 → 112

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	144	1577
1	397	1486
2	1715	1378
done	5002	1369

prune737.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* (- z y) (/ 1 (+ (- t z) 1.0)))
0.9b	(* a (* (- z y) (/ 1 (+ (- t z) 1.0))))

rewrite483.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

77.0ms	(/ 1 (+ (- t z) 1.0))
198.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
196.0ms	(* a (* (- z y) (/ 1 (+ (- t z) 1.0))))

series318.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ 1 (+ (- t z) 1.0))
99.0ms	(* (- z y) (/ 1 (+ (- t z) 1.0)))
151.0ms	(* a (* (- z y) (/ 1 (+ (- t z) 1.0))))

simplify4.8s

Counts

134 → 134

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	174	1796
1	476	1600
2	3382	1301
done	5000	1300

prune754.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.7b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite256.0ms

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` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 179

Calls

2 calls:

124.0ms	(/ (+ (- t z) 1.0) a)
110.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series265.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (+ (- t z) 1.0) a)
213.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.1s

Counts

185 → 185

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	230	3588
1	705	3405
2	3481	3236
done	5002	3229

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes674.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
done	15	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

804.0ms	8469×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid