Details

sample51.0ms

Algorithm

intervals

Results

22.0ms

503×

body

valid

simplify197.0ms

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: 5.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.0b	(+ a (* b c))
0.1b	(* (+ a (* b c)) c)
6.6b	(* (* (+ a (* b c)) c) i)

rewrite23.0ms

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:

7.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
3.0ms	(+ a (* b c))
5.0ms	(* (+ a (* b c)) c)
6.0ms	(* (* (+ a (* b c)) c) i)

series735.0ms

Counts

4 → 12

Calls

4 calls:

598.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
25.0ms	(+ a (* b c))
46.0ms	(* (+ a (* b c)) c)
65.0ms	(* (* (+ a (* b c)) c) i)

simplify64.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	431	642
1	1992	581
2	5002	573

prune280.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
5.2b	(* (+ a (* b c)) (* c i))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

3.0ms	(+ (* x y) (* z t))
3.0ms	(+ a (* b c))
6.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0ms	(* (+ a (* b c)) (* c i))

series722.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x y) (* z t))
25.0ms	(+ a (* b c))
594.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
63.0ms	(* (+ a (* b c)) (* c i))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	404	600
1	1775	555
2	5003	547

prune274.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ a (* b c)))
0.8b	(cbrt (+ a (* b c)))
0.8b	(cbrt (+ a (* b c)))
5.2b	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
40×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
20.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

series396.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (+ a (* b c)))
110.0ms	(cbrt (+ a (* b c)))
109.0ms	(cbrt (+ a (* b c)))
65.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	538	1334
1	1784	1070
2	5002	986

prune456.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
5.2b	(* (+ a (* b c)) (* c i))
5.2b	(* (+ a (* b c)) (* c i))
5.2b	(* (+ a (* b c)) (* c i))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

6.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
7.0ms	(* (+ a (* b c)) (* c i))
6.0ms	(* (+ a (* b c)) (* c i))
6.0ms	(* (+ a (* b c)) (* c i))

series383.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
64.0ms	(* (+ a (* b c)) (* c i))
64.0ms	(* (+ a (* b c)) (* c i))
61.0ms	(* (+ a (* b c)) (* c i))

simplify60.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	508	833
1	1973	759
2	5001	741

prune352.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.3b

regimes953.0ms

Accuracy

32.2% (0.6b remaining)

Error of 1.6b against oracle of 1.0b and baseline of 1.9b

bsearch5.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	29
1	46	29

end0.0ms

sample1.4s

Algorithm

intervals

Results

682.0ms

15297×

body

valid