Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

359×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
12	3108
11	1772
10	955
9	470
8	301
7	217
6	172
5	128
4	81
3	43
2	23
1	14
0	8

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z x) t)
4.9b	(fma (/ (- z x) t) y x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 52

Calls

2 calls:

13.0ms	(/ (- z x) t)
0.0ms	(fma (/ (- z x) t) y x)

series114.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- z x) t)
62.0ms	(fma (/ (- z x) t) y x)

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	1327
2	445
1	200
0	95

prune323.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

4.9b	(fma (* (* (cbrt (/ (- z x) t)) (cbrt (/ (- z x) t))) (cbrt (/ (- z x) t))) y x)
7.8b	(cbrt (/ (- z x) t))
7.8b	(cbrt (/ (- z x) t))
7.8b	(cbrt (/ (- z x) t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`fma-udef`

Counts

4 → 104

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (/ (- z x) t)) (cbrt (/ (- z x) t))) (cbrt (/ (- z x) t))) y x)
3.0ms	(cbrt (/ (- z x) t))
3.0ms	(cbrt (/ (- z x) t))
3.0ms	(cbrt (/ (- z x) t))

series664.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(fma (* (* (cbrt (/ (- z x) t)) (cbrt (/ (- z x) t))) (cbrt (/ (- z x) t))) y x)
203.0ms	(cbrt (/ (- z x) t))
190.0ms	(cbrt (/ (- z x) t))
197.0ms	(cbrt (/ (- z x) t))

simplify2.7s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
4	4565
3	1234
2	487
1	256
0	141

prune611.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

7.8b	(cbrt (/ (- z x) t))
7.8b	(cbrt (/ (- z x) t))
7.8b	(cbrt (/ (- z x) t))
7.8b	(cbrt (/ (- z x) t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod`
64×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`times-frac`
40×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 124

Calls

4 calls:

3.0ms	(cbrt (/ (- z x) t))
3.0ms	(cbrt (/ (- z x) t))
3.0ms	(cbrt (/ (- z x) t))
3.0ms	(cbrt (/ (- z x) t))

series724.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (/ (- z x) t))
163.0ms	(cbrt (/ (- z x) t))
163.0ms	(cbrt (/ (- z x) t))
206.0ms	(cbrt (/ (- z x) t))

simplify1.6s

Counts

136 → 136

Iterations

Iter	Nodes
done	5002
4	3301
3	1005
2	413
1	222
0	122

prune997.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ (- z x) t) y x))
4.9b	(fma (/ (- z x) t) y x)
4.9b	(fma (/ (- z x) t) y x)
4.9b	(fma (/ (- z x) t) y x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt (fma (/ (- z x) t) y x))
0.0ms	(fma (/ (- z x) t) y x)
0.0ms	(fma (/ (- z x) t) y x)
0.0ms	(fma (/ (- z x) t) y x)

series483.0ms

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt (fma (/ (- z x) t) y x))
55.0ms	(fma (/ (- z x) t) y x)
62.0ms	(fma (/ (- z x) t) y x)
55.0ms	(fma (/ (- z x) t) y x)

simplify1.4s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
3	1573
2	498
1	205
0	95

prune315.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes441.0ms

Accuracy

88.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.9b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample944.0ms

Algorithm

intervals

Results

591.0ms

10692×

body

valid