Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	293×	body	80	nan
13.0ms	292×	body	80	valid

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 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))

rewrite16.0ms

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))))
9.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series184.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
34.0ms	(- (+ (+ x y) z) (* z (log t)))
41.0ms	(* z (log t))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

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

prune231.0ms

Filtered

79 candidates to 57 candidates (72.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Merged error: 0b

Counts

80 → 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)) (* (log t) (+ (- z) z))))
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)) (* (log t) (+ (- z) z))))
1.0ms	(fma z (- 1 (log t)) (+ x y))

series307.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(- 1 (log t))
128.0ms	(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
51.0ms	(fma z (- 1 (log t)) (+ x y))

simplify161.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	261	516
1	873	360
2	4678	307
3	5001	307

prune205.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Merged error: 0b

Counts

69 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite12.0ms

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)

series913.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt t) (cbrt t))
178.0ms	(cbrt t)
357.0ms	(cbrt t)
173.0ms	(cbrt t)

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

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

prune382.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (log t))
0.1b	(sqrt (log t))
0.2b	(* z (sqrt (log t)))
0.2b	(* (* z (sqrt (log t))) (sqrt (log t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

2.0ms	(sqrt (log t))
2.0ms	(sqrt (log t))
5.0ms	(* z (sqrt (log t)))
10.0ms	(* (* z (sqrt (log t))) (sqrt (log t)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (log t))
150.0ms	(sqrt (log t))
56.0ms	(* z (sqrt (log t)))
36.0ms	(* (* z (sqrt (log t))) (sqrt (log t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	169	420
1	718	366
2	2350	342
3	5002	342

prune229.0ms

Filtered

93 candidates to 55 candidates (59.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes279.0ms

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	24	11
1	24	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

425.0ms	9177×	body	80	valid
364.0ms	9232×	body	80	nan