Details

sample40.0ms

Algorithm

intervals

Results

13.0ms

273×

body

valid

simplify487.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	670
6	223
5	122
4	88
3	60
2	38
1	19
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize16.0ms

Local error

Found 1 expressions with local error:

10.5b

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

8.0ms

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

series132.0ms

Counts

1 → 3

Calls

1 calls:

132.0ms

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

simplify2.0s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
4	4650
3	900
2	243
1	94
0	58

prune305.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.5b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (fma a (- z) t))
10.4b	(* (fma y (- z) x) (/ 1 (fma a (- z) t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`add-exp-log`
13×	`associate-r`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 71

Calls

2 calls:

4.0ms	(/ 1 (fma a (- z) t))
12.0ms	(* (fma y (- z) x) (/ 1 (fma a (- z) t)))

series193.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ 1 (fma a (- z) t))
133.0ms	(* (fma y (- z) x) (/ 1 (fma a (- z) t)))

simplify950.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	994
1	200
0	94

prune552.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.5b

localize22.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (/ (fma a (- z) t) (fma (- z) y x)))
10.5b	(/ (fma a (- z) t) (fma (- z) y x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 107

Calls

2 calls:

23.0ms	(/ 1 (/ (fma a (- z) t) (fma (- z) y x)))
8.0ms	(/ (fma a (- z) t) (fma (- z) y x))

series457.0ms

Counts

2 → 6

Calls

2 calls:

276.0ms	(/ 1 (/ (fma a (- z) t) (fma (- z) y x)))
180.0ms	(/ (fma a (- z) t) (fma (- z) y x))

simplify1.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1662
1	356
0	156

prune663.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 10.5b

localize52.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (/ (/ 1 (cbrt (fma (- z) a t))) (cbrt (fma (- z) a t))) (/ (cbrt (fma a (- z) t)) (fma (- z) y x)))
7.9b	(cbrt (fma a (- z) t))
7.9b	(cbrt (fma (- z) a t))
7.9b	(cbrt (fma (- z) a t))

rewrite744.0ms

Algorithm

rewrite-expression-head

Rules

10978×	`times-frac`
4617×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4002×	`cbrt-prod`
299×	`div-inv`
136×	`associate-/l*`
39×	`add-exp-log`
27×	`div-exp`
22×	`associate-/r*`
16×	`add-cbrt-cube`
15×	`cbrt-undiv`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`rec-exp` `1-exp`
1×	`clear-num` `frac-2neg` `associate-/r/` `associate-/l/`

Counts

4 → 3219

Calls

4 calls:

147.0ms	(/ (/ (/ 1 (cbrt (fma (- z) a t))) (cbrt (fma (- z) a t))) (/ (cbrt (fma a (- z) t)) (fma (- z) y x)))
1.0ms	(cbrt (fma a (- z) t))
1.0ms	(cbrt (fma (- z) a t))
2.0ms	(cbrt (fma (- z) a t))

series1.8s

Counts

4 → 12

Calls

4 calls:

987.0ms	(/ (/ (/ 1 (cbrt (fma (- z) a t))) (cbrt (fma (- z) a t))) (/ (cbrt (fma a (- z) t)) (fma (- z) y x)))
261.0ms	(cbrt (fma a (- z) t))
278.0ms	(cbrt (fma (- z) a t))
294.0ms	(cbrt (fma (- z) a t))

simplify3.3s

Counts

3231 → 3231

Iterations

Iter	Nodes
done	5001
0	4157

prune33.6s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 10.5b

regimes793.0ms

Accuracy

0% (0.3b remaining)

Error of 10.3b against oracle of 10.0b and baseline of 10.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

595.0ms

8698×

body

valid