Details

sample53.0ms

Algorithm

intervals

Results

15.0ms	294×	body	80	valid
12.0ms	313×	body	80	nan

simplify54.0ms

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 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
6.0ms	(+ (+ x y) z)
9.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series198.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
15.0ms	(+ (+ x y) z)
33.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	363	571
1	1634	504
2	5001	486

prune287.0ms

Filtered

103 candidates to 74 candidates (71.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

localize15.0ms

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))

rewrite8.0ms

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))

series296.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- 1 (log t))
130.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
46.0ms	(fma z (- 1 (log t)) (+ x y))

simplify129.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (26.0ms)

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

prune175.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

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`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series723.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt t) (cbrt t))
175.0ms	(cbrt t)
177.0ms	(cbrt t)
171.0ms	(cbrt t)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune386.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0b

Counts

98 → 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))
0.4b	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
0.5b	(fma (log t) (+ 1 (log t)) 1)
0.7b	(pow (log t) 3)

rewrite21.0ms

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))
13.0ms	(/ (- 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)

series1.5s

Counts

4 → 12

Calls

4 calls:

511.0ms	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (+ x y))
541.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
267.0ms	(fma (log t) (+ 1 (log t)) 1)
174.0ms	(pow (log t) 3)

simplify83.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (68.0ms)

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

prune413.0ms

Filtered

127 candidates to 78 candidates (61.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	127	5	132

Merged error: 0b

Counts

132 → 5

regimes338.0ms

Accuracy

0% (0.1b 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	17	6
1	17	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

415.0ms	9097×	body	80	valid
359.0ms	9148×	body	80	nan
0.0ms	2×	body	160	valid