Details

sample110.0ms

Algorithm

intervals

Results

55.0ms	111×	body	1280	valid
22.0ms	79×	body	640	valid
12.0ms	265×	body	80	nan
7.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	7×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	65	6
4	98	6
5	122	6
6	135	6
7	137	6
8	137	6

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: 58.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.2b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

7.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
120.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	334	673
1	1078	636
2	4549	616
3	5001	613

prune173.0ms

Filtered

92 candidates to 62 candidates (67.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	4	93

Merged error: 0.1b

Counts

93 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

1.0ms	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
20.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series345.0ms

Counts

2 → 6

Calls

2 calls:

296.0ms	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
49.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	555	833
1	2731	633
2	5001	632

prune283.0ms

Filtered

128 candidates to 81 candidates (63.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	127	5	132

Merged error: 0.1b

Counts

132 → 5

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.9b	(exp (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
73×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
39×	`add-cube-cbrt` `*-un-lft-identity`
26×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
8×	`add-cbrt-cube`
6×	`pow1` `pow-to-exp` `pow-exp`
4×	`exp-prod`
3×	`expm1-log1p-u` `log-prod` `associate-l` `exp-sum` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `log-pow` `-commutative` `fma-udef` `div-inv` `rem-exp-log`

Counts

3 → 139

Calls

3 calls:

1.0ms	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
20.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
2.0ms	(exp (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

series667.0ms

Counts

3 → 9

Calls

3 calls:

307.0ms	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
55.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))
305.0ms	(exp (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	586	970
1	2361	819
2	5001	797

prune399.0ms

Filtered

148 candidates to 94 candidates (63.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	148	5	153

Merged error: 0.1b

Counts

153 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
0.3b	(cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
1.6b	(exp (* (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))))
2.9b	(pow (exp (* (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))) (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`pow-unpow` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-pow` `log-pow`
2×	`exp-prod` `exp-to-pow` `pow1/3`
1×	`pow-to-exp` `pow-exp` `rem-exp-log` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
1.0ms	(cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
2.0ms	(exp (* (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))))
4.0ms	(pow (exp (* (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))) (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))

series3.4s

Counts

4 → 12

Calls

4 calls:

334.0ms	(cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
333.0ms	(cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
660.0ms	(exp (* (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))))
2.0s	(pow (exp (* (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))) (cbrt (log (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1549	3289
1	5001	3072

prune457.0ms

Filtered

77 candidates to 65 candidates (84.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	77	5	82

Merged error: 0.1b

Counts

82 → 5

regimes24.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.6s	3354×	body	1280	valid
712.0ms	2510×	body	640	valid
288.0ms	7999×	body	80	nan
224.0ms	1270×	body	320	valid
68.0ms	634×	body	160	valid
11.0ms	232×	body	80	valid