Details

sample40.0ms

Algorithm

intervals

Results

22.0ms

706×

body

valid

simplify50.0ms

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: 7.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
6.5b	(/ (* (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)

series192.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (cosh x) (/ y x))
114.0ms	(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

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

prune124.0ms

Filtered

66 candidates to 49 candidates (74.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) y)
0.3b	(* (* (cosh x) y) (/ 1 x))
6.5b	(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

4.0ms	(* (cosh x) y)
8.0ms	(* (* (cosh x) y) (/ 1 x))
9.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

series252.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (cosh x) y)
76.0ms	(* (* (cosh x) y) (/ 1 x))
109.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	522	611
1	2707	476
2	5001	462

prune145.0ms

Filtered

103 candidates to 60 candidates (58.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0b

Counts

111 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
6.7b	(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite19.0ms

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))

series186.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (cosh x) (/ y x))
110.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (51.0ms)

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

prune132.0ms

Filtered

90 candidates to 56 candidates (62.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	2	2	4
Picked	0	1	1
Done	1	1	2
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (cosh x) y) z)
0.0b	(* (cosh x) y)
6.4b	(/ (/ (* (cosh x) y) z) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `div-inv`
5×	`pow1`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

5.0ms	(/ (* (cosh x) y) z)
4.0ms	(* (cosh x) y)
6.0ms	(/ (/ (* (cosh x) y) z) x)

series268.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (* (cosh x) y) z)
70.0ms	(* (cosh x) y)
114.0ms	(/ (/ (* (cosh x) y) z) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	425	595
1	1824	526
2	5001	510

prune153.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	98	5	103

Merged error: 0b

Counts

103 → 5

regimes169.0ms

Accuracy

94.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.8b

bsearch89.0ms

Steps

Iters	Range		Point
9	5.347434891887272e+29	3.7323521200148513e+34	1.5381296036904004e+30
8	-2.0602871923228928e+40	-3.19768830118084e+36	-5.690505075872886e+36

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

715.0ms

22354×

body

valid