Details

sample61.0ms

Algorithm

intervals

Results

19.0ms	297×	body	80	valid
16.0ms	335×	body	80	nan

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7

prune7.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`log-prod` `add-log-exp`
11×	`add-cube-cbrt`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
5×	`add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
4×	`associate-r`
3×	`expm1-log1p-u` `diff-log` `associate-l` `sum-log` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

1.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series260.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
53.0ms	(- (+ (+ x y) z) (* z (log t)))
63.0ms	(* z (log t))

simplify74.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	316	506
1	1388	439
2	5001	421

prune226.0ms

Filtered

79 candidates to 57 candidates (72.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	6	80

Merged error: 0.0b

Counts

80 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

5.0ms	(- 1 (log t))
1.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
1.0ms	(fma z (- 1 (log t)) (+ x y))

series319.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(- 1 (log t))
133.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
55.0ms	(fma z (- 1 (log t)) (+ x y))

simplify143.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	250	456
1	817	311
2	4188	263
3	5001	263

prune170.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log (sqrt t)))
0.1b	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
0.1b	(fma z (- 1 (log (sqrt t))) (+ x y))
0.3b	(* z (log (sqrt t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`log-prod`
28×	`add-cube-cbrt`
21×	`prod-diff`
18×	`associate--r+`
15×	`pow1` `sqrt-prod`
13×	`log-pow`
12×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-log-exp`
6×	`add-exp-log` `fma-neg` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u`
3×	`associate-l`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

10.0ms	(- 1 (log (sqrt t)))
5.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
1.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
6.0ms	(* z (log (sqrt t)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- 1 (log (sqrt t)))
137.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
97.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
105.0ms	(* z (log (sqrt t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	519	1196
1	1911	958
2	5001	944

prune367.0ms

Filtered

135 candidates to 85 candidates (63.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	136	5	141

Merged error: 0b

Counts

141 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (+ x y))
0.3b	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
0.5b	(fma (log t) (+ 1 (log t)) 1)
0.8b	(pow (log t) 3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
36×	`times-frac`
32×	`difference-of-squares`
24×	`add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod` `associate-/l*`
9×	`sqr-pow`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`log-pow` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `flip--` `div-inv` `rem-cube-cbrt`

Counts

4 → 115

Calls

4 calls:

1.0ms	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (+ x y))
14.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
1.0ms	(fma (log t) (+ 1 (log t)) 1)
3.0ms	(pow (log t) 3)

series1.8s

Counts

4 → 12

Calls

4 calls:

590.0ms	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (+ x y))
571.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
273.0ms	(fma (log t) (+ 1 (log t)) 1)
344.0ms	(pow (log t) 3)

simplify83.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	562	1580
1	2440	1467
2	5001	1434

prune355.0ms

Filtered

127 candidates to 78 candidates (61.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Merged error: 0b

Counts

132 → 5

regimes316.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

534.0ms	9223×	body	80	valid
469.0ms	9497×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid