Details

sample288.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520773%

Results

13.0ms

340×

body

valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2024	4
11	3276	4
12	5001	4

prune3.0ms

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: 2.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.0b	(* (- y x) (/ z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series24.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ x (* (- y x) (/ z t)))
12.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune92.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Merged error: 0.0b

Counts

56 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

6.0b	(* (- y x) (/ z t))
6.5b	(cbrt (* (- y x) (/ z t)))
6.5b	(cbrt (* (- y x) (/ z t)))
6.5b	(cbrt (* (- y x) (/ z t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`pow1`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (- y x) (/ z t))
6.0ms	(cbrt (* (- y x) (/ z t)))
6.0ms	(cbrt (* (- y x) (/ z t)))
6.0ms	(cbrt (* (- y x) (/ z t)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (- y x) (/ z t))
41.0ms	(cbrt (* (- y x) (/ z t)))
40.0ms	(cbrt (* (- y x) (/ z t)))
41.0ms	(cbrt (* (- y x) (/ z t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	381	689
1	1522	641
2	5002	629

prune145.0ms

Filtered

77 candidates to 92 candidates (-19.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	91	11	102

Merged error: 0.0b

Counts

102 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.7b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
18.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt t)
22.0ms	(cbrt t)
23.0ms	(cbrt t)
18.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	475	857
1	2098	748
2	5002	689

prune121.0ms

Filtered

79 candidates to 106 candidates (-34.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	7	8
Picked	0	1	1
Done	1	1	2
Total	107	10	117

Merged error: 0.0b

Counts

117 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.9b	(* (* (/ (- y x) (cbrt t)) (/ z (cbrt t))) (/ 1 (cbrt t)))
3.3b	(* (/ (- y x) (cbrt t)) (/ z (cbrt t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

93×	`add-exp-log`
91×	`add-sqr-sqrt`
78×	`times-frac`
61×	`*-un-lft-identity`
49×	`add-cube-cbrt`
45×	`cbrt-prod`
44×	`associate-r`
40×	`prod-exp` `add-cbrt-cube`
35×	`associate-l`
30×	`div-exp`
22×	`cbrt-unprod`
17×	`cbrt-undiv`
11×	`pow1`
9×	`unswap-sqr`
6×	`frac-times` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
5×	`rec-exp` `1-exp`
4×	`associate-*r/` `pow-prod-down` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`
1×	`un-div-inv`

Counts

4 → 178

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
19.0ms	(* (* (/ (- y x) (cbrt t)) (/ z (cbrt t))) (/ 1 (cbrt t)))
21.0ms	(* (/ (- y x) (cbrt t)) (/ z (cbrt t)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt t)
22.0ms	(cbrt t)
22.0ms	(* (* (/ (- y x) (cbrt t)) (/ z (cbrt t))) (/ 1 (cbrt t)))
62.0ms	(* (/ (- y x) (cbrt t)) (/ z (cbrt t)))

simplify114.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	919	1743
1	4584	1520
2	5001	1498

prune167.0ms

Filtered

133 candidates to 190 candidates (-42.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	189	11	200

Merged error: 0b

Counts

200 → 11

regimes623.0ms

Accuracy

19.7% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.2b

bsearch32.0ms

Steps

Iters	Range		Point
8	4.6540984787820893e+21	5.540085819974055e+25	9.90769786219929e+21
6	-3.399320893014113e+65	-2.4131605930832198e+64	-3.0489408480972455e+64

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	8
1	24	8

end0.0ms

sample999.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520773%

Results

332.0ms

10623×

body

valid

Details

sample288.0ms

simplify98.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series24.0ms

simplify36.0ms

prune92.0ms

localize11.0ms

rewrite28.0ms

series134.0ms

simplify43.0ms

prune145.0ms

localize10.0ms

rewrite25.0ms

series89.0ms

simplify53.0ms

prune121.0ms

localize12.0ms

rewrite50.0ms

series129.0ms

simplify114.0ms

prune167.0ms

regimes623.0ms

bsearch32.0ms

simplify2.0ms

end0.0ms

sample999.0ms

Profiling