Details

sample81.0ms

Algorithm

intervals

Results

34.0ms	888×	body	80	nan
11.0ms	258×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log t) (+ y z))
0.1b	(fma (log y) x (- (log t) (+ y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`prod-diff`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`pow1`
7×	`log-pow`
6×	`distribute-lft-out`
4×	`fma-neg` `diff-log` `distribute-lft-out--`
3×	`log-prod` `associate--l+`
2×	`add-exp-log` `expm1-log1p-u` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
1×	`+-commutative` `sub-neg` `flip3--` `flip--` `fma-udef` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

7.0ms	(- (log t) (+ y z))
1.0ms	(fma (log y) x (- (log t) (+ y z)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (log t) (+ y z))
56.0ms	(fma (log y) x (- (log t) (+ y z)))

simplify98.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	244	507
1	748	356
2	3954	315
3	5001	315

prune98.0ms

Filtered

63 candidates to 37 candidates (58.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0.1b

Counts

64 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

334.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
326.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
325.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
323.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	402	1439
1	1597	1278
2	5001	1144

prune274.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
6.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
2.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

332.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
323.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
324.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
329.0ms	(cbrt (cbrt (fma (log y) x (- (log t) (+ y z)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	553	1654
1	1948	1555
2	5002	1483

prune324.0ms

Filtered

91 candidates to 72 candidates (79.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.5b	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
0.5b	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

132×	`cbrt-prod`
56×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
18×	`swap-sqr` `associate-r` `associate-l`
12×	`unswap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`

Counts

4 → 124

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
6.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
6.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
6.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

333.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
334.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
334.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))
321.0ms	(cbrt (* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z))))))

simplify62.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	406	3025
1	1390	2909
2	5001	2730

prune407.0ms

Filtered

136 candidates to 98 candidates (72.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	4	4
Picked	1	0	1
Done	0	3	3
Total	135	9	144

Merged error: 0.0b

Counts

144 → 9

regimes233.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample2.1s

Algorithm

intervals

Results

884.0ms	24791×	body	80	nan
353.0ms	8027×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid