Details

sample51.0ms

Algorithm

intervals

Results

24.0ms

487×

body

valid

simplify201.0ms

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: 6.9b

localize17.0ms

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)
9.1b	(* (* (+ a (* b c)) c) i)

rewrite24.0ms

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:

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

series748.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x y) (* z t))
601.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
44.0ms	(* (+ a (* b c)) c)
65.0ms	(* (* (+ a (* b c)) c) i)

simplify62.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (54.0ms)

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

prune274.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
4.8b	(* (+ a (* b c)) (* c i))

rewrite21.0ms

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

series712.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ a (* b c))
37.0ms	(+ (* x y) (* z t))
587.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
63.0ms	(* (+ a (* b c)) (* c i))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (49.0ms)

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

prune266.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 1.2b

localize19.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (+ a (* b c)))
1.8b	(cbrt (+ a (* b c)))
1.8b	(cbrt (+ a (* b c)))
4.8b	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

rewrite32.0ms

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)))
3.0ms	(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))

series392.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (+ a (* b c)))
106.0ms	(cbrt (+ a (* b c)))
108.0ms	(cbrt (+ a (* b c)))
64.0ms	(* (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (cbrt (+ a (* b c)))) (* c i))

simplify59.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (47.0ms)

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

prune450.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 1.2b

localize24.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (+ a (* b c)))
1.8b	(cbrt (+ a (* b c)))
1.8b	(cbrt (+ a (* b c)))
2.8b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `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)))
17.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (+ a (* b c)))
108.0ms	(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)))

simplify59.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	515	1576
1	1753	1342
2	5001	1225

prune394.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 1.2b

regimes1.2s

Accuracy

53.3% (0.4b remaining)

Error of 1.2b against oracle of 0.8b and baseline of 1.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	24
1	42	24

end0.0ms

sample1.4s

Algorithm

intervals

Results

758.0ms

15106×

body

valid