Details

sample41.0ms

Algorithm

intervals

Results

15.0ms

275×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	179	10
6	329	10
7	660	10
8	1295	10
9	2525	10
done	5000	10

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.8b	(fma (/ (- y z) (- a z)) t x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

27.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series158.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- y z) (- a z))
97.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (758.0ms)

Iter	Nodes	Cost
0	113	884
1	264	856
2	826	810
3	4309	808
done	5000	808

prune383.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
0.8b	(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

22.0ms	(/ 1 (- a z))
89.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series213.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- a z))
53.0ms	(* (- y z) (/ 1 (- a z)))
120.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify4.6s

Counts

114 → 114

Iterations

Useful iterations: 2 (488.0ms)

Iter	Nodes	Cost
0	149	1251
1	356	1101
2	2788	924
done	5001	924

prune572.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.8b	(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) t x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

5.0ms	(cbrt (- a z))
6.0ms	(cbrt (- a z))
7.0ms	(cbrt (- a z))
0.0ms	(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) t x)

series719.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (- a z))
194.0ms	(cbrt (- a z))
172.0ms	(cbrt (- a z))
103.0ms	(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) t x)

simplify1.3s

Counts

73 → 73

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	95	943
1	198	925
2	533	829
3	2031	672
done	5001	614

prune538.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- y z) t) (- a z)) x)
0.0b	(* (- y z) t)
10.9b	(/ (* (- y z) t) (- a z))

rewrite547.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

469.0ms	(+ (/ (* (- y z) t) (- a z)) x)
34.0ms	(* (- y z) t)
41.0ms	(/ (* (- y z) t) (- a z))

series268.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(+ (/ (* (- y z) t) (- a z)) x)
41.0ms	(* (- y z) t)
84.0ms	(/ (* (- y z) t) (- a z))

simplify1.7s

Counts

89 → 89

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	130	868
1	348	825
2	1738	753
done	5001	734

prune533.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes609.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
done	9	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

667.0ms

8715×

body

valid