Details

sample453.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

248.0ms	87×	body	1280	valid
152.0ms	60×	body	2560	valid
17.0ms	59×	body	640	valid
6.0ms	31×	body	320	valid
2.0ms	15×	body	160	valid
0.0ms	4×	body	80	valid

simplify384.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	17	5
2	19	5
3	19	5

prune5.0ms

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: 37.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
2.2b	(- x (tan x))
2.3b	(- x (sin x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
15×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
4×	`flip3--` `flip--`
3×	`pow1`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 80

Calls

3 calls:

8.0ms	(/ (- x (sin x)) (- x (tan x)))
3.0ms	(- x (tan x))
6.0ms	(- x (sin x))

series58.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (- x (sin x)) (- x (tan x)))
31.0ms	(- x (tan x))
14.0ms	(- x (sin x))

simplify147.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	363	718
1	1148	684
2	4781	684
3	5001	684

prune85.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	2	90

Merged error: 0.0b

Counts

90 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 9/40 (pow x 2))
0.3b	(* 27/2800 (pow x 4))
16.3b	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod` `unpow2`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+`

Counts

3 → 66

Calls

3 calls:

5.0ms	(* 9/40 (pow x 2))
7.0ms	(* 27/2800 (pow x 4))
6.0ms	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

series12.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 9/40 (pow x 2))
4.0ms	(* 27/2800 (pow x 4))
6.0ms	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

simplify40.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	273	349
1	1123	316
2	5002	313

prune105.0ms

Filtered

46 candidates to 75 candidates (-63.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	74	3	77

Merged error: 0b

Counts

77 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 9/40 (pow x 2))
0.3b	(* 27/2800 (pow x 4))
16.3b	(- (* 9/40 (pow x 2)) (* 27/2800 (pow x 4)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `unpow2`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 64

Calls

3 calls:

5.0ms	(* 9/40 (pow x 2))
5.0ms	(* 27/2800 (pow x 4))
4.0ms	(- (* 9/40 (pow x 2)) (* 27/2800 (pow x 4)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 9/40 (pow x 2))
4.0ms	(* 27/2800 (pow x 4))
9.0ms	(- (* 9/40 (pow x 2)) (* 27/2800 (pow x 4)))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	249	308
1	1003	278
2	5002	273

prune96.0ms

Filtered

45 candidates to 73 candidates (-62.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))))
0.1b	(* 9/40 (pow x 2))
0.3b	(* 27/2800 (pow x 4))
16.3b	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`associate-r`
14×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`pow1` `log-prod`
4×	`log-pow` `sqr-pow`
3×	`exp-prod`
2×	`pow-to-exp` `sub-neg` `diff-log` `exp-sum` `pow-exp` `*-commutative` `cbrt-unprod` `unpow2`
1×	`log-div` `flip3--` `exp-diff` `rem-log-exp` `sum-log` `flip--` `associate--r+`

Counts

4 → 84

Calls

4 calls:

7.0ms	(log (exp (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))))
5.0ms	(* 9/40 (pow x 2))
5.0ms	(* 27/2800 (pow x 4))
7.0ms	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

series19.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(log (exp (- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))))
5.0ms	(* 9/40 (pow x 2))
4.0ms	(* 27/2800 (pow x 4))
5.0ms	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	304	534
1	1244	477
2	5001	474

prune146.0ms

Filtered

60 candidates to 96 candidates (-60.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0b

Counts

99 → 3

regimes40.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.7b

bsearch45.0ms

Steps

Iters	Range		Point
10	0.00031157581617804726	8049369413.927381	0.031409398004778155
9	-4028446.8497976456	-0.0065084385888304844	-0.03094151470682689

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample6.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

4.1s	1603×	body	2560	valid
1.6s	2702×	body	1280	valid
524.0ms	1912×	body	640	valid
180.0ms	977×	body	320	valid
62.0ms	488×	body	160	valid
24.0ms	318×	body	80	valid

Details

sample453.0ms

simplify384.0ms

prune5.0ms

localize10.0ms

rewrite21.0ms

series58.0ms

simplify147.0ms

prune85.0ms

localize9.0ms

rewrite21.0ms

series12.0ms

simplify40.0ms

prune105.0ms

localize9.0ms

rewrite15.0ms

series16.0ms

simplify40.0ms

prune96.0ms

localize13.0ms

rewrite26.0ms

series19.0ms

simplify43.0ms

prune146.0ms

regimes40.0ms

bsearch45.0ms

simplify2.0ms

end0.0ms

sample6.7s

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