Details

sample71.0ms

Algorithm

intervals

Results

46.0ms

435×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

46.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
11.0ms	(+ (+ (* x y) (* z t)) (* a b))
2.0ms	(+ (* x y) (* z t))

series298.0ms

Counts

3 → 9

Calls

3 calls:

211.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
54.0ms	(+ (+ (* x y) (* z t)) (* a b))
33.0ms	(+ (* x y) (* z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.3b	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
46.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
48.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
198.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series7.5s

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x y) (* z t))
3.6s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.6s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
210.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	380	1440
1	1773	1287
2	5002	1251

prune466.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b	(* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.3b	(* (* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite641.0ms

Algorithm

rewrite-expression-head

Rules

118×	`sqrt-div`
91×	`sqrt-pow1`
77×	`sqrt-prod`
73×	`pow1`
56×	`add-sqr-sqrt`
51×	`pow1/2`
43×	`pow-prod-up`
35×	`flip3-+` `flip-+`
32×	`frac-times`
20×	`add-cube-cbrt` `*-un-lft-identity`
17×	`swap-sqr`
16×	`associate-*l/`
15×	`associate-r`
13×	`pow-sqr`
12×	`pow-prod-down`
11×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r/` `associate-l*`
7×	`pow-plus`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`rem-sqrt-square` `*-commutative`
1×	`pow2` `rem-square-sqrt`

Counts

4 → 191

Calls

4 calls:

47.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
48.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
206.0ms	(* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
329.0ms	(* (* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series11.1s

Counts

4 → 12

Calls

4 calls:

3.7s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.6s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.6s	(* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
209.0ms	(* (* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify103.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	575	3799
1	2431	3121
2	5003	3064

prune506.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* c i) (* c i))
0.3b	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
4.4b	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
34.7b	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

9.0ms	(* (* c i) (* c i))
59.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
26.0ms	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
104.0ms	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series1.9m

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* c i) (* c i))
451.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
1.9m	(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
740.0ms	(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify117.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	574	2150
1	3376	1883
2	5001	1811

prune346.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes474.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s

13672×

body

valid