Details

sample51.0ms

Algorithm

intervals

Results

30.0ms

350×

body

valid

simplify96.0ms

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.2b

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	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
6.9b	(* (* (* y 9.0) z) t)

rewrite51.0ms

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))
7.0ms	(* (* y 9.0) z)
7.0ms	(* (* a 27.0) b)
22.0ms	(* (* (* y 9.0) z) t)

series58.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
4.0ms	(* (* y 9.0) z)
4.0ms	(* (* a 27.0) b)
10.0ms	(* (* (* y 9.0) z) t)

simplify71.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (64.0ms)

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

prune746.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite32.0ms

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))
7.0ms	(* (* a 27.0) b)
10.0ms	(* (* y 9.0) (* z t))

series53.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
4.0ms	(* (* a 27.0) b)
9.0ms	(* (* y 9.0) (* z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (56.0ms)

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

prune613.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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:

14.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
6.0ms	(* 9.0 (* z t))
7.0ms	(* (* a 27.0) b)
17.0ms	(* y (* 9.0 (* z t)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
4.0ms	(* 9.0 (* z t))
4.0ms	(* (* a 27.0) b)
7.0ms	(* y (* 9.0 (* z t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (14.0ms)

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

prune787.0ms

Pruning

9 alts after pruning (8 fresh and 1 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	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.9b	(* (* (* y 9.0) z) t)

rewrite54.0ms

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×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`associate-r`
5×	`associate-l`
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-+` `distribute-lft-out`

Counts

4 → 85

Calls

4 calls:

15.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
8.0ms	(* (* y 9.0) z)
6.0ms	(* 27.0 (* a b))
22.0ms	(* (* (* y 9.0) z) t)

series55.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
4.0ms	(* (* y 9.0) z)
4.0ms	(* 27.0 (* a b))
7.0ms	(* (* (* y 9.0) z) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	384	529
1	1857	442
2	5002	432

prune711.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes2.7s

Accuracy

70.3% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	31
1	68	31
2	74	31
3	74	31

end0.0ms

sample1.3s

Algorithm

intervals

Results

961.0ms

11011×

body

valid