Details

sample60.0ms

Algorithm

intervals

Results

25.0ms	257×	body	80	valid
2.0ms	12×	body	640	valid
2.0ms	8×	body	1280	valid
2.0ms	13×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	2560	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	11	13
1	23	13
2	46	12
3	128	12
4	368	12
5	1103	12
6	4364	12
done	5000	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
1.7b	(+ x (* (- y z) (/ (- t x) (- a z))))
6.7b	(* (- y z) (/ (- t x) (- a z)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 128

Calls

3 calls:

47.0ms	(/ (- t x) (- a z))
8.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
91.0ms	(* (- y z) (/ (- t x) (- a z)))

series508.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (- t x) (- a z))
243.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
172.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify1.9s

Counts

137 → 137

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	189	1881
1	515	1781
2	2711	1665
done	5000	1657

prune486.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
13.9b	(fma (/ (- t x) (- a z)) (- y z) x)

rewrite33.0ms

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:

25.0ms	(/ (- t x) (- a z))
0.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

series227.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (- t x) (- a z))
150.0ms	(fma (/ (- t x) (- a z)) (- y z) x)

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: 3 (907.0ms)

Iter	Nodes	Cost
0	118	918
1	274	890
2	848	838
3	4610	834
done	5000	834

prune263.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
13.9b	(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

rewrite103.0ms

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:

14.0ms	(/ 1 (- a z))
81.0ms	(* (- t x) (/ 1 (- a z)))
1.0ms	(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

series243.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 1 (- a z))
72.0ms	(* (- t x) (/ 1 (- a z)))
125.0ms	(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

simplify5.1s

Counts

114 → 114

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	155	1285
1	373	1129
2	2963	954
done	5001	952

prune303.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.4b	(/ 1 (/ (- a z) (- t x)))
13.9b	(fma (/ 1 (/ (- a z) (- t x))) (- y z) x)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

37.0ms	(/ (- a z) (- t x))
53.0ms	(/ 1 (/ (- a z) (- t x)))
1.0ms	(fma (/ 1 (/ (- a z) (- t x))) (- y z) x)

series541.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (- a z) (- t x))
300.0ms	(/ 1 (/ (- a z) (- t x)))
170.0ms	(fma (/ 1 (/ (- a z) (- t x))) (- y z) x)

simplify1.4s

Counts

223 → 223

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	274	3778
1	715	3266
2	3417	3112
done	5000	3037

prune516.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 4.2b

regimes611.0ms

Accuracy

65.1% (3.9b remaining)

Error of 7.5b against oracle of 3.7b and baseline of 14.8b

bsearch4.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	113
1	37	113
done	37	113

end0.0ms

sample1.8s

Algorithm

intervals

Results

594.0ms	7790×	body	80	valid
435.0ms	391×	body	320	valid
101.0ms	515×	body	640	valid
64.0ms	269×	body	1280	valid
24.0ms	240×	body	160	valid
6.0ms	24×	body	2560	valid