Details

sample61.0ms

Algorithm

intervals

Results

24.0ms

334×

body

valid

simplify14.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3370
7	1576
6	776
5	460
4	256
3	113
2	48
1	22
0	12

prune71.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize449.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- x z) y) 0.25)
0.0b	(/ (- x z) y)
0.0b	(fma (+ (/ (- x z) y) 0.25) 4.0 1.0)

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
30×	`times-frac`
22×	`add-cube-cbrt`
19×	`fma-def`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`div-sub` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 84

Calls

3 calls:

259.0ms	(+ (/ (- x z) y) 0.25)
101.0ms	(/ (- x z) y)
9.0ms	(fma (+ (/ (- x z) y) 0.25) 4.0 1.0)

series378.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (/ (- x z) y) 0.25)
123.0ms	(/ (- x z) y)
164.0ms	(fma (+ (/ (- x z) y) 0.25) 4.0 1.0)

simplify8.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	2163
2	676
1	275
0	119

prune917.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 4.0 (/ (- x z) y)) 2.0)
0.0b	(* 4.0 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

64.0ms	(+ (* 4.0 (/ (- x z) y)) 2.0)
167.0ms	(* 4.0 (/ (- x z) y))
227.0ms	(/ (- x z) y)

series242.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* 4.0 (/ (- x z) y)) 2.0)
105.0ms	(* 4.0 (/ (- x z) y))
78.0ms	(/ (- x z) y)

simplify15.2s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	4698
2	1126
1	375
0	143

prune2.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize151.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 4.0 (- (/ x y) (/ z y))) 2.0)
0.0b	(* 4.0 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

1199×	`times-frac`
952×	`add-sqr-sqrt`
942×	`*-un-lft-identity`
926×	`add-cube-cbrt`
845×	`prod-diff`
342×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
135×	`div-inv`
13×	`fma-neg`
12×	`associate-r`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`+-commutative` `fma-def` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 938

Calls

3 calls:

487.0ms	(+ (* 4.0 (- (/ x y) (/ z y))) 2.0)
647.0ms	(* 4.0 (- (/ x y) (/ z y)))
78.0ms	(- (/ x y) (/ z y))

series835.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* 4.0 (- (/ x y) (/ z y))) 2.0)
691.0ms	(* 4.0 (- (/ x y) (/ z y)))
74.0ms	(- (/ x y) (/ z y))

simplify22.9s

Counts

947 → 947

Iterations

Iter	Nodes
done	5002
2	3321
1	1408
0	768

prune17.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 4.0 (/ 1 (/ y (- x z)))) 2.0)
0.0b	(* 4.0 (/ 1 (/ y (- x z))))
0.0b	(/ y (- x z))
0.3b	(/ 1 (/ y (- x z)))

rewrite559.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
186×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
122×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*` `add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `fma-def` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 262

Calls

4 calls:

45.0ms	(+ (* 4.0 (/ 1 (/ y (- x z)))) 2.0)
223.0ms	(* 4.0 (/ 1 (/ y (- x z))))
26.0ms	(/ y (- x z))
184.0ms	(/ 1 (/ y (- x z)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* 4.0 (/ 1 (/ y (- x z)))) 2.0)
91.0ms	(* 4.0 (/ 1 (/ y (- x z))))
61.0ms	(/ y (- x z))
399.0ms	(/ 1 (/ y (- x z)))

simplify14.3s

Counts

274 → 274

Iterations

Iter	Nodes
done	5002
2	2420
1	898
0	326

prune5.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes280.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample8.1s

Algorithm

intervals

Results

7.5s

10091×

body

valid