Details

sample36.0ms

Algorithm

intervals

Results

13.0ms

365×

body

valid

simplify94.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.3b	(* (* a 27.0) b)
0.4b	(* (* y 9.0) z)
7.0b	(* (* (* y 9.0) z) t)

rewrite121.0ms

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:

33.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* a 27.0) b)
16.0ms	(* (* y 9.0) z)
52.0ms	(* (* (* y 9.0) z) t)

series184.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* a 27.0) b)
15.0ms	(* (* y 9.0) z)
23.0ms	(* (* (* y 9.0) z) t)

simplify63.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (56.0ms)

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

prune257.0ms

Pruning

13 alts after pruning (13 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)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.3b	(* (* a 27.0) b)
7.2b	(* (* y 9.0) (* z t))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

9.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
32.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
19.0ms	(* (* a 27.0) b)
25.0ms	(* (* y 9.0) (* z t))

series246.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
135.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
18.0ms	(* (* a 27.0) b)
26.0ms	(* (* y 9.0) (* z t))

simplify74.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	421	563
1	2047	495
2	5002	493

prune268.0ms

Pruning

12 alts after pruning (12 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))
0.3b	(* (* a 27.0) b)
6.8b	(* y (* 9.0 (* z t)))

rewrite109.0ms

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:

32.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
17.0ms	(* 9.0 (* z t))
16.0ms	(* (* a 27.0) b)
41.0ms	(* y (* 9.0 (* z t)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
15.0ms	(* 9.0 (* z t))
20.0ms	(* (* a 27.0) b)
23.0ms	(* y (* 9.0 (* z t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

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

prune288.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (pow (* 27.0 (* a b)) 1))
0.2b	(* 9.0 (* z t))
0.3b	(* 27.0 (* a b))
6.8b	(* y (* 9.0 (* z t)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

36.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (pow (* 27.0 (* a b)) 1))
15.0ms	(* 9.0 (* z t))
18.0ms	(* 27.0 (* a b))
39.0ms	(* y (* 9.0 (* z t)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (pow (* 27.0 (* a b)) 1))
16.0ms	(* 9.0 (* z t))
17.0ms	(* 27.0 (* a b))
23.0ms	(* y (* 9.0 (* z t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	375	527
1	1624	440
2	5001	438

prune266.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes919.0ms

Accuracy

77.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 4.0b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	31
1	62	31
2	69	31
3	69	31

end0.0ms

sample922.0ms

Algorithm

intervals

Results

414.0ms

11038×

body

valid