Details

sample35.0ms

Algorithm

intervals

Results

20.0ms

486×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	42	7
2	54	7
3	54	7

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: 35.7b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
22.5b	(/ (* x x) (* y y))
23.8b	(/ (* z z) (* t t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-log-exp`
3×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms	(/ (* x x) (* y y))
9.0ms	(/ (* z z) (* t t))

series141.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms	(/ (* x x) (* y y))
25.0ms	(/ (* z z) (* t t))

simplify40.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	375	410
1	1850	329
2	5002	297

prune131.0ms

Filtered

64 candidates to 39 candidates (60.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	54	10	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	10	65

Merged error: 6.3b

Counts

65 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
22.5b	(/ (* x x) (* y y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
10×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`div-inv` `add-log-exp`
4×	`unswap-sqr`
3×	`frac-add`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `pow-sqr` `-commutative` `pow-prod-up` `flip-+` `associate-/l*`

Counts

3 → 102

Calls

3 calls:

7.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
10.0ms	(* (/ z t) (/ z t))
6.0ms	(/ (* x x) (* y y))

series143.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
29.0ms	(* (/ z t) (/ z t))
25.0ms	(/ (* x x) (* y y))

simplify68.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	590	695
1	2934	591
2	5002	561

prune224.0ms

Filtered

111 candidates to 69 candidates (62.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	99	12	111
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	105	16	121

Merged error: 0.1b

Counts

121 → 16

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b	(* (/ x y) (/ x y))
0.3b	(* (/ z t) (/ z t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
5×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 154

Calls

3 calls:

7.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
11.0ms	(* (/ x y) (/ x y))
10.0ms	(* (/ z t) (/ z t))

series150.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
30.0ms	(* (/ x y) (/ x y))
26.0ms	(* (/ z t) (/ z t))

simplify102.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	818	1019
1	4079	895
2	5001	862

prune312.0ms

Filtered

163 candidates to 104 candidates (63.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	152	11	163
Fresh	7	8	15
Picked	1	0	1
Done	0	0	0
Total	160	19	179

Merged error: 0.0b

Counts

179 → 19

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ z t) (/ z t))
19.8b	(cbrt (* (/ z t) (/ z t)))
19.8b	(cbrt (* (/ z t) (/ z t)))
19.8b	(cbrt (* (/ z t) (/ z t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`times-frac`
32×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`cbrt-div`
4×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `pow1/3`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 103

Calls

4 calls:

10.0ms	(* (/ z t) (/ z t))
5.0ms	(cbrt (* (/ z t) (/ z t)))
5.0ms	(cbrt (* (/ z t) (/ z t)))
5.0ms	(cbrt (* (/ z t) (/ z t)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (/ z t) (/ z t))
83.0ms	(cbrt (* (/ z t) (/ z t)))
83.0ms	(cbrt (* (/ z t) (/ z t)))
83.0ms	(cbrt (* (/ z t) (/ z t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	408	678
1	1935	580
2	5002	496

prune243.0ms

Filtered

115 candidates to 79 candidates (68.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	115	19	134

Merged error: 0.0b

Counts

134 → 19

regimes706.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	14	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

654.0ms

15467×

body

valid