Details

sample105.0ms

Algorithm

intervals

Results

35.0ms	628×	body	80	nan
32.0ms	599×	body	80	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	9
1	43	9
2	92	9
3	186	9
4	341	9
5	703	9
6	2167	9
7	5001	9

prune3.0ms

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: 0.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
4.0ms	(/ (* t t) 2.0)
2.0ms	(exp (/ (* t t) 2.0))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
23.0ms	(/ (* t t) 2.0)
21.0ms	(exp (/ (* t t) 2.0))
100.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	463	658
1	1807	565
2	5001	558

prune248.0ms

Filtered

97 candidates to 75 candidates (77.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
11×	`pow1`
7×	`exp-prod` `sqrt-prod`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `rem-exp-log` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
2.0ms	(exp (/ (* t t) 2.0))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series230.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* t t) 2.0)
18.0ms	(exp (/ (* t t) 2.0))
59.0ms	(* (- (* x 0.5) y) (sqrt z))
130.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	408	567
1	1687	495
2	5002	487

prune272.0ms

Filtered

103 candidates to 74 candidates (71.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	103	9	112

Merged error: 0.0b

Counts

112 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
0.4b	(* (sqrt z) (sqrt 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-prod`
9×	`associate-l`
7×	`exp-prod` `associate-r`
6×	`times-frac` `pow-prod-down`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`associate-/r*`
2×	`cbrt-undiv` `sqrt-pow1` `pow1/2` `div-exp` `associate-l/` `-commutative` `div-inv`
1×	`flip3--` `frac-2neg` `sqrt-unprod` `clear-num` `flip--` `rem-exp-log` `associate-/l*`

Counts

4 → 94

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
2.0ms	(exp (/ (* t t) 2.0))
9.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms	(* (sqrt z) (sqrt 2.0))

series242.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* t t) 2.0)
18.0ms	(exp (/ (* t t) 2.0))
135.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
65.0ms	(* (sqrt z) (sqrt 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	440	558
1	1786	492
2	5001	483

prune283.0ms

Filtered

106 candidates to 74 candidates (69.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	106	9	115

Merged error: 0b

Counts

115 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
0.3b	(* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.3b	(* (sqrt z) (sqrt (sqrt 2.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
27×	`add-sqr-sqrt`
25×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`pow-prod-down`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l` `prod-exp` `cbrt-unprod`
7×	`exp-prod`
6×	`unswap-sqr`
5×	`sqrt-pow1` `pow1/2` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `sqrt-unprod` `*-commutative`
2×	`associate-*l/`
1×	`flip3--` `flip--` `div-inv` `rem-exp-log`

Counts

4 → 108

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
15.0ms	(* (- (* x 0.5) y) (* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
11.0ms	(* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
8.0ms	(* (sqrt z) (sqrt (sqrt 2.0)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (/ (* t t) 2.0))
137.0ms	(* (- (* x 0.5) y) (* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
101.0ms	(* (* (sqrt z) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
78.0ms	(* (sqrt z) (sqrt (sqrt 2.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	555	907
1	2497	767
2	5001	736

prune318.0ms

Filtered

120 candidates to 81 candidates (67.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	120	9	129

Merged error: 0b

Counts

129 → 9

regimes554.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	17980×	body	80	valid
998.0ms	17872×	body	80	nan