Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

350×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
6.9b	(* (* (* y 9.0) z) t)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

13.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
6.0ms	(* (* y 9.0) z)
7.0ms	(* (* a 27.0) b)
21.0ms	(* (* (* y 9.0) z) t)

series214.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
24.0ms	(* (* a 27.0) b)
26.0ms	(* (* (* y 9.0) z) t)

simplify69.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	391	503
1	2058	422
2	5002	418

prune249.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
7.4b	(* (* y 9.0) (* z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-+l+` `fma-def` `log1p-expm1-u`
2×	`associate-l` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

3 → 65

Calls

3 calls:

13.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
10.0ms	(* (* y 9.0) (* z t))

series189.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
23.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) (* z t))

simplify60.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	360	434
1	1757	362
2	5001	361

prune210.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
0.2b	(* 9.0 (* z t))
0.2b	(* (* a 27.0) b)
7.3b	(* y (* 9.0 (* z t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

13.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
6.0ms	(* 9.0 (* z t))
10.0ms	(* (* a 27.0) b)
15.0ms	(* y (* 9.0 (* z t)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
21.0ms	(* 9.0 (* z t))
19.0ms	(* (* a 27.0) b)
24.0ms	(* y (* 9.0 (* z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	382	501
1	1830	421
2	5002	421

prune286.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y 9.0) z)
0.3b	(fma 27.0 (* a b) (* (* (* y 9.0) z) (+ (- t) t)))
4.0b	(* (* (* y 9.0) z) (+ (- t) t))
6.9b	(* t (* (* y 9.0) z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r`
15×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-l`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-out` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`distribute-rgt-neg-in` `*-commutative`
2×	`neg-mul-1` `distribute-lft1-in` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (* y 9.0) z)
0.0ms	(fma 27.0 (* a b) (* (* (* y 9.0) z) (+ (- t) t)))
37.0ms	(* (* (* y 9.0) z) (+ (- t) t))
17.0ms	(* t (* (* y 9.0) z))

series73.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* y 9.0) z)
21.0ms	(fma 27.0 (* a b) (* (* (* y 9.0) z) (+ (- t) t)))
1.0ms	(* (* (* y 9.0) z) (+ (- t) t))
32.0ms	(* t (* (* y 9.0) z))

simplify86.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	373	536
1	2337	405
2	5001	336

prune309.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes702.0ms

Accuracy

74.8% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 4.1b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	26
1	63	26
2	69	26
3	69	26

end0.0ms

sample843.0ms

Algorithm

intervals

Results

460.0ms

11011×

body

valid