Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

285×

body

valid

simplify858.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	35	10
3	57	10
4	94	10
5	137	10
6	189	10
7	215	10
8	244	10
9	278	10
10	364	10
11	477	10
12	549	10
13	643	10
14	671	10
done	671	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
0.6b	(* y (/ (- z t) (- a t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `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 → 122

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
12.0ms	(/ (- z t) (- a t))
24.0ms	(* y (/ (- z t) (- a t)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (* y (/ (- z t) (- a t))))
49.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

simplify1.5s

Counts

131 → 131

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	168	1615
1	434	1512
2	1167	1414
3	3837	1414
done	5000	1410

prune348.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
0.6b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite640.0ms

Algorithm

rewrite-expression-head

Rules

2591×	`*-un-lft-identity`
2583×	`add-sqr-sqrt`
2568×	`times-frac`
1764×	`prod-diff`
1541×	`add-cube-cbrt`
886×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
524×	`distribute-lft-out--`
518×	`difference-of-squares`
344×	`associate-/r/`
173×	`flip3--` `flip--`
172×	`div-inv`
18×	`associate-r`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u`
3×	`distribute-rgt-out--` `fma-def` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `sub-div` `unswap-sqr`

Counts

4 → 1905

Calls

4 calls:

136.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
5.0ms	(/ z (- a t))
5.0ms	(/ t (- a t))
234.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
31.0ms	(/ z (- a t))
43.0ms	(/ t (- a t))
82.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify2.2s

Counts

1917 → 1917

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	1938	89101
1	2972	80907
done	5000	74643

prune5.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (* (- z t) (/ y (- a t))) 1))
0.0b	(/ y (- a t))
8.7b	(* (- z t) (/ y (- a t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 104

Calls

3 calls:

4.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
5.0ms	(/ y (- a t))
23.0ms	(* (- z t) (/ y (- a t)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
30.0ms	(/ y (- a t))
73.0ms	(* (- z t) (/ y (- a t)))

simplify926.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	163	1322
1	383	1195
2	1383	1105
done	5000	1105

prune389.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ (* (- z t) y) (- a t)) 1))
0.0b	(* (- z t) y)
9.6b	(/ (* (- z t) y) (- a t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

21.0ms	(+ x (pow (/ (* (- z t) y) (- a t)) 1))
14.0ms	(* (- z t) y)
10.0ms	(/ (* (- z t) y) (- a t))

series192.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ x (pow (/ (* (- z t) y) (- a t)) 1))
32.0ms	(* (- z t) y)
74.0ms	(/ (* (- z t) y) (- a t))

simplify899.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (147.0ms)

Iter	Nodes	Cost
0	133	910
1	344	809
2	1284	731
done	5001	731

prune264.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample560.0ms

Algorithm

intervals

Results

294.0ms	8738×	body	80	valid
0.0ms	1×	body	640	valid