Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	269×	body	80	valid
8.0ms	256×	body	80	nan

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	190	7
3	412	7
4	644	7
5	1083	7
6	1628	7
7	2273	7
8	3723	7
9	5001	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
13.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
62.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
44.0ms	(* 3.0 (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	594	1130
1	2888	878
2	5001	872

prune243.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) y)
0.5b	(/ 1.0 (* x 9.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 91

Calls

4 calls:

5.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(* (* 3.0 (sqrt x)) y)
4.0ms	(/ 1.0 (* x 9.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 3.0 (sqrt x))
36.0ms	(* 3.0 (sqrt x))
56.0ms	(* (* 3.0 (sqrt x)) y)
16.0ms	(/ 1.0 (* x 9.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	366	440
1	1571	379
2	5002	366

prune243.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.5b	(/ 1.0 (* x 9.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
75×	`distribute-rgt-in` `distribute-lft-in`
72×	`prod-diff`
59×	`add-sqr-sqrt`
53×	`add-cube-cbrt`
20×	`distribute-lft-out`
16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 181

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
14.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
9.0ms	(/ 1.0 (* x 9.0))

series170.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
61.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
67.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms	(/ 1.0 (* x 9.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	633	2404
1	2663	1754
2	5002	1748

prune287.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 (sqrt x)) y)
0.5b	(/ 1.0 (* x 9.0))
0.5b	(/ 1.0 (* x 9.0))
0.5b	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
33×	`add-sqr-sqrt`
24×	`pow1`
21×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
18×	`times-frac`
13×	`associate-r`
12×	`swap-sqr`
11×	`associate-l`
8×	`sqrt-pow1` `pow1/2`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`
5×	`pow-prod-up`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-div` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `rem-square-sqrt`

Counts

4 → 132

Calls

4 calls:

5.0ms	(* (* 3.0 (sqrt x)) y)
4.0ms	(/ 1.0 (* x 9.0))
4.0ms	(/ 1.0 (* x 9.0))
17.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (* 3.0 (sqrt x)) y)
15.0ms	(/ 1.0 (* x 9.0))
22.0ms	(/ 1.0 (* x 9.0))
54.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	438	634
1	2221	544
2	5001	529

prune501.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample816.0ms

Algorithm

intervals

Results

268.0ms	8532×	body	80	valid
260.0ms	8606×	body	80	nan