Details

sample37.0ms

Algorithm

intervals

Results

20.0ms

757×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	224	4
4	401	4
5	758	4
6	2403	4
7	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 7.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.0b	(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/r*` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 60

Calls

2 calls:

6.0ms	(* (cosh x) (/ y x))
6.0ms	(/ (* (cosh x) (/ y x)) z)

series186.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (cosh x) (/ y x))
111.0ms	(/ (* (cosh x) (/ y x)) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	345	374
1	1456	317
2	5001	317

prune182.0ms

Filtered

66 candidates to 49 candidates (74.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	10	67

Merged error: 0.0b

Counts

67 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.2b	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y))
7.0b	(/ (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) z)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
70×	`*-un-lft-identity`
68×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`add-exp-log` `add-cbrt-cube`
19×	`associate-/l*`
17×	`cbrt-undiv` `div-exp`
16×	`associate-/r*`
12×	`div-inv`
5×	`associate-/r/` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`pow1` `associate-/l/`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `flip-+`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

3 → 156

Calls

3 calls:

7.0ms	(+ (exp (* -1 x)) (exp x))
17.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y))
24.0ms	(/ (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) z)

series164.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp (* -1 x)) (exp x))
57.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y))
85.0ms	(/ (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) z)

simplify100.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	856	1876
1	4026	1689
2	5003	1689

prune430.0ms

Filtered

165 candidates to 130 candidates (78.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	160	5	165
Fresh	6	2	8
Picked	0	1	1
Done	0	1	1
Total	166	9	175

Merged error: 0b

Counts

175 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.1b	(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`associate-r`
22×	`add-sqr-sqrt` `prod-exp`
19×	`times-frac`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-unprod`
11×	`div-exp`
9×	`pow1`
6×	`cbrt-undiv` `frac-times` `cosh-def` `associate-*l/`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp`
2×	`*-commutative` `div-inv` `add-log-exp` `unswap-sqr`
1×	`un-div-inv`

Counts

2 → 84

Calls

2 calls:

6.0ms	(* (cosh x) (/ y x))
9.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

series185.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (cosh x) (/ y x))
109.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify59.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	515	578
1	2463	472
2	5002	459

prune159.0ms

Filtered

90 candidates to 56 candidates (62.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	91	8	99

Merged error: 0b

Counts

99 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
0.2b	(/ (* (+ (exp x) (exp (- x))) y) z)
7.4b	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity` `times-frac`
14×	`add-sqr-sqrt`
12×	`cbrt-undiv` `add-cube-cbrt` `div-exp`
8×	`associate-/l*`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `add-log-exp`
4×	`associate-l` `associate-l/` `associate-/r` `div-inv`
3×	`flip3-+` `associate-r` `flip-+` `associate-/l/`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

4.0ms	(+ (exp x) (exp (- x)))
7.0ms	(* (+ (exp x) (exp (- x))) y)
8.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
10.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series229.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
54.0ms	(* (+ (exp x) (exp (- x))) y)
64.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
89.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify80.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	490	952
1	2532	767
2	5002	766

prune246.0ms

Filtered

106 candidates to 74 candidates (69.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	106	8	114

Merged error: 0b

Counts

114 → 8

regimes228.0ms

Accuracy

92.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	22
1	32	22

end0.0ms

sample1.0s

Algorithm

intervals

Results

579.0ms

22500×

body

valid