Details

sample33.0ms

Algorithm

intervals

Results

12.0ms

350×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4686
20	4333
19	3984
18	3625
17	3276
16	2923
15	2561
14	1997
13	1448
12	1088
11	777
10	527
9	358
8	284
7	211
6	171
5	129
4	82
3	44
2	24
1	15
0	9

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

3.4b	(fma (- z t) (/ y a) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- z t) (/ y a) x)

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(fma (- z t) (/ y a) x)

simplify1.9s

Counts

13 → 13

Iterations

Iter	Nodes
done	5005
4	1433
3	253
2	85
1	41
0	24

prune121.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- z t) (/ y a)) x)
7.7b	(* (- z t) (/ y a))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

13.0ms	(+ (* (- z t) (/ y a)) x)
24.0ms	(* (- z t) (/ y a))

series153.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* (- z t) (/ y a)) x)
87.0ms	(* (- z t) (/ y a))

simplify2.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	4755
2	1091
1	326
0	122

prune345.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ a y)) x)
7.9b	(/ (- z t) (/ a y))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 188

Calls

2 calls:

84.0ms	(+ (/ (- z t) (/ a y)) x)
26.0ms	(/ (- z t) (/ a y))

series157.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+ (/ (- z t) (/ a y)) x)
70.0ms	(/ (- z t) (/ a y))

simplify1.8s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	1994
1	667
0	224

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.8b	(* (* (/ (cbrt (- z t)) (cbrt a)) (/ (cbrt (- z t)) (cbrt a))) (* y (/ (cbrt (- z t)) (cbrt a))))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
16×	`pow1`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow-prod-down`
7×	`associate-*r/` `add-cube-cbrt`
6×	`cbrt-div`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 104

Calls

4 calls:

6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
141.0ms	(* (* (/ (cbrt (- z t)) (cbrt a)) (/ (cbrt (- z t)) (cbrt a))) (* y (/ (cbrt (- z t)) (cbrt a))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (- z t))
199.0ms	(cbrt (- z t))
209.0ms	(cbrt (- z t))
99.0ms	(* (* (/ (cbrt (- z t)) (cbrt a)) (/ (cbrt (- z t)) (cbrt a))) (* y (/ (cbrt (- z t)) (cbrt a))))

simplify3.4s

Counts

116 → 116

Iterations

Iter	Nodes
done	5028
3	4207
2	1329
1	428
0	163

prune565.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes514.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.0s

Algorithm

intervals

Results

541.0ms

10715×

body

valid