Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	276×	body	80	valid
8.0ms	263×	body	80	nan

simplify110.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

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

rewrite33.0ms

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)))
16.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series147.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
67.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))
38.0ms	(* 3.0 (sqrt x))

simplify76.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (60.0ms)

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

prune246.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-cube-cbrt`
9×	`associate-l`
7×	`associate-r`
6×	`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` `div-exp` `associate-l/` `-commutative` `distribute-lft-out` `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 → 89

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
15.0ms	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) (* 3.0 (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series158.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
77.0ms	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) (* 3.0 (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))
38.0ms	(* 3.0 (sqrt x))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	438	534
1	1820	468
2	5001	460

prune238.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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

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))
4.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ 1.0 (* x 9.0)))
58.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
22.0ms	(/ 1.0 (* x 9.0))
66.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify81.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	633	2404
1	2665	1754
2	5002	1748

prune271.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.1b	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0)
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0) (sqrt x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
9.0ms	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0)
4.0ms	(/ 1.0 (* x 9.0))
12.0ms	(* (* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0) (sqrt x))

series152.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
33.0ms	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0)
16.0ms	(/ 1.0 (* x 9.0))
76.0ms	(* (* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0) (sqrt x))

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	409	617
1	1781	538
2	5002	533

prune389.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes72.0ms

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	16	7
1	16	7

end0.0ms

sample804.0ms

Algorithm

intervals

Results

278.0ms	8605×	body	80	valid
254.0ms	8468×	body	80	nan