Details

sample50.0ms

Algorithm

intervals

Results

23.0ms

471×

body

valid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	9
1	77	9
2	230	9
3	735	9
4	1920	9
5	2994	9
6	3388	9
7	4078	9
8	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
7.3b	(* (* (+ a (* b c)) c) i)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
18.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
7.0ms	(* (+ a (* b c)) c)
12.0ms	(* (* (+ a (* b c)) c) i)

series736.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x y) (* z t))
588.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
45.0ms	(* (+ a (* b c)) c)
64.0ms	(* (* (+ a (* b c)) c) i)

simplify65.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	436	655
1	2076	599
2	5003	591

prune290.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.1b	(* (+ a (* b c)) (* c i))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`flip3-+` `associate-*l/` `flip-+`
9×	`add-sqr-sqrt`
8×	`frac-sub`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l*`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate--l+`
2×	`flip3--` `diff-log` `sum-log` `*-commutative` `flip--`
1×	`+-commutative` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

38.0ms	(* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
2.0ms	(+ (* x y) (* z t))
17.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
13.0ms	(* (+ a (* b c)) (* c i))

series1.4s

Counts

4 → 12

Calls

4 calls:

707.0ms	(* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
33.0ms	(+ (* x y) (* z t))
598.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
64.0ms	(* (+ a (* b c)) (* c i))

simplify71.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	499	998
1	2360	914
2	5002	902

prune325.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.1b	(* (+ a (* b c)) (* c i))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`flip3-+` `associate-*l/` `flip-+`
9×	`add-sqr-sqrt`
8×	`frac-sub`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l*`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate--l+`
2×	`flip3--` `diff-log` `sum-log` `*-commutative` `flip--`
1×	`+-commutative` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

38.0ms	(* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
2.0ms	(+ (* x y) (* z t))
17.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
10.0ms	(* (+ a (* b c)) (* c i))

series1.4s

Counts

4 → 12

Calls

4 calls:

684.0ms	(* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
38.0ms	(+ (* x y) (* z t))
582.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
62.0ms	(* (+ a (* b c)) (* c i))

simplify69.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	499	998
1	2360	914
2	5002	902

prune324.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

6.1b	(* (+ a (* b c)) (* c i))
11.2b	(cbrt (* (+ a (* b c)) (* c i)))
11.2b	(cbrt (* (+ a (* b c)) (* c i)))
11.2b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

13.0ms	(* (+ a (* b c)) (* c i))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))
6.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ a (* b c)) (* c i))
137.0ms	(cbrt (* (+ a (* b c)) (* c i)))
140.0ms	(cbrt (* (+ a (* b c)) (* c i)))
132.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify38.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	321	576
1	1103	516
2	5001	500

prune335.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.4b

regimes1.1s

Accuracy

49.9% (0.5b remaining)

Error of 1.3b against oracle of 0.8b and baseline of 1.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	25
1	49	25
2	49	25

end0.0ms

sample1.5s

Algorithm

intervals

Results

773.0ms

15192×

body

valid