Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	114	12
4	278	12
5	614	12
6	1246	12
7	2304	12
8	4050	12
done	5000	12

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) (- a t))
12.4b	(fma (/ (- y x) (- a t)) (- z t) x)

rewrite15.0ms

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:

12.0ms	(/ (- y x) (- a t))
0.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

series144.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- y x) (- a t))
89.0ms	(fma (/ (- y x) (- a t)) (- z t) x)

simplify1.9s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	118	918
1	270	890
2	628	838
3	1591	836
4	4632	828
done	5000	828

prune239.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
2.4b	(+ (* (/ (- y x) (- a t)) (- z t)) x)
4.4b	(* (/ (- y x) (- a t)) (- z t))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 170

Calls

3 calls:

12.0ms	(/ (- y x) (- a t))
15.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
38.0ms	(* (/ (- y x) (- a t)) (- z t))

series412.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- y x) (- a t))
144.0ms	(+ (* (/ (- y x) (- a t)) (- z t)) x)
213.0ms	(* (/ (- y x) (- a t)) (- z t))

simplify1.0s

Counts

179 → 179

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	256	3107
1	676	2740
2	2102	2516
done	5000	2480

prune504.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.4b	(+ (* (- y x) (/ (- z t) (- a t))) x)
2.1b	(* (- y x) (/ (- z t) (- a t)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`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` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 126

Calls

3 calls:

12.0ms	(/ (- z t) (- a t))
11.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
33.0ms	(* (- y x) (/ (- z t) (- a t)))

series322.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- z t) (- a t))
152.0ms	(+ (* (- y x) (/ (- z t) (- a t))) x)
118.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify984.0ms

Counts

135 → 135

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	189	1881
1	492	1765
2	1724	1669
done	5000	1669

prune406.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- y x) (/ 1 (- a t)))
12.4b	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite35.0ms

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:

6.0ms	(/ 1 (- a t))
25.0ms	(* (- y x) (/ 1 (- a t)))
0.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series192.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- a t))
60.0ms	(* (- y x) (/ 1 (- a t)))
94.0ms	(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify2.4s

Counts

114 → 114

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	155	1285
1	352	1052
2	947	948
3	3104	946
done	5001	945

prune304.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 3.2b

regimes384.0ms

Accuracy

46.8% (4.0b remaining)

Error of 7.9b against oracle of 3.9b and baseline of 11.4b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	26	71
1	36	59
done	36	59

end0.0ms

sample752.0ms

Algorithm

intervals

Results

289.0ms	7839×	body	80	valid
61.0ms	458×	body	640	valid
44.0ms	279×	body	1280	valid
42.0ms	425×	body	320	valid
16.0ms	249×	body	160	valid
3.0ms	14×	body	2560	valid