Details

sample41.0ms

Algorithm

intervals

Results

18.0ms

274×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3547
10	1241
9	709
8	446
7	358
6	299
5	180
4	105
3	60
2	37
1	21
0	10

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.6b	(* y (/ (- z t) (- z a)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `fma-def` `flip3--` `associate-l` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

14.0ms	(+ x (* y (/ (- z t) (- z a))))
44.0ms	(/ (- z t) (- z a))
81.0ms	(* y (/ (- z t) (- z a)))

series343.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ x (* y (/ (- z t) (- z a))))
60.0ms	(/ (- z t) (- z a))
146.0ms	(* y (/ (- z t) (- z a)))

simplify984.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	5002
2	1822
1	460
0	168

prune754.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
1.8b	(fma (- z t) (/ y (- z a)) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

17.0ms	(/ y (- z a))
1.0ms	(fma (- z t) (/ y (- z a)) x)

series145.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ y (- z a))
110.0ms	(fma (- z t) (/ y (- z a)) x)

simplify937.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1492
2	448
1	177
0	92

prune328.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ (- z a) y)) x)
10.3b	(/ (- z t) (/ (- z a) y))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

355×	`times-frac`
287×	`*-un-lft-identity`
285×	`add-sqr-sqrt`
141×	`add-cube-cbrt`
100×	`fma-def`
72×	`distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`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 → 254

Calls

2 calls:

197.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
39.0ms	(/ (- z t) (/ (- z a) y))

series344.0ms

Counts

2 → 6

Calls

2 calls:

181.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
163.0ms	(/ (- z t) (/ (- z a) y))

simplify1.3s

Counts

260 → 260

Iterations

Iter	Nodes
done	5000
2	3707
1	816
0	258

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt (- z a))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt (- z a))
250.0ms	(cbrt y)
273.0ms	(cbrt y)
271.0ms	(cbrt y)

simplify865.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	1550
2	481
1	188
0	93

prune447.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes433.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

505.0ms	8729×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid