Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

375×

body

valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 4.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.4b	(* (* y 9.0) z)
0.4b	(* (* a 27.0) b)
6.7b	(* (* (* y 9.0) z) t)

rewrite26.0ms

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:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
5.0ms	(* (* y 9.0) z)
5.0ms	(* (* a 27.0) b)
7.0ms	(* (* (* y 9.0) z) t)

series222.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms	(* (* y 9.0) z)
21.0ms	(* (* a 27.0) b)
27.0ms	(* (* (* y 9.0) z) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (61.0ms)

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

prune286.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.4b	(* (* a 27.0) b)
5.2b	(* (* y 9.0) (* z t))

rewrite20.0ms

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:

6.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
5.0ms	(* (* a 27.0) b)
7.0ms	(* (* y 9.0) (* z t))

series203.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
21.0ms	(* (* a 27.0) b)
27.0ms	(* (* y 9.0) (* z t))

simplify61.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (55.0ms)

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

prune227.0ms

Pruning

10 alts after pruning (10 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))
0.3b	(* 9.0 (* z t))
0.4b	(* (* a 27.0) b)
4.8b	(* y (* 9.0 (* z t)))

rewrite26.0ms

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:

7.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
5.0ms	(* 9.0 (* z t))
5.0ms	(* (* a 27.0) b)
7.0ms	(* y (* 9.0 (* z t)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
19.0ms	(* 9.0 (* z t))
21.0ms	(* (* a 27.0) b)
30.0ms	(* y (* 9.0 (* z t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (14.0ms)

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

prune296.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (* z t))
4.8b	(* (* 9.0 (* z t)) y)
4.8b	(* (* 9.0 (* z t)) y)
47.0b	(fma (- (* 9.0 (* z t))) y (* (* 9.0 (* z t)) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 76

Calls

4 calls:

5.0ms	(* 9.0 (* z t))
7.0ms	(* (* 9.0 (* z t)) y)
7.0ms	(* (* 9.0 (* z t)) y)
1.0ms	(fma (- (* 9.0 (* z t))) y (* (* 9.0 (* z t)) y))

series146.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 9.0 (* z t))
35.0ms	(* (* 9.0 (* z t)) y)
30.0ms	(* (* 9.0 (* z t)) y)
62.0ms	(fma (- (* 9.0 (* z t))) y (* (* 9.0 (* z t)) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	198	421
1	975	335
2	5001	334

prune285.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes897.0ms

Accuracy

78.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.6b

bsearch184.0ms

Steps

Iters	Range		Point
10	10140450095606194.0	5.765595690844405e+30	3.028848846605441e+16
9	-4.930003257170045e-86	-1.7284068650874626e-94	-1.4069769959385747e-86

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	23
1	65	23
2	65	23

end0.0ms

sample828.0ms

Algorithm

intervals

Results

458.0ms

10941×

body

valid