Details

sample99.0ms

Algorithm

intervals

Results

25.0ms	46×	body	1280	valid
18.0ms	39×	body	10240	exit
12.0ms	44×	body	640	valid
8.0ms	5×	body	2560	valid
7.0ms	120×	body	80	valid
5.0ms	28×	body	320	valid
2.0ms	67×	body	80	nan
2.0ms	16×	body	160	valid
1.0ms	7×	body	640	nan
1.0ms	5×	body	1280	nan
0.0ms	3×	body	320	nan
0.0ms	3×	body	160	nan

simplify202.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 25.6b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
3.0b	(+ (- 1.0 y) (* y (exp z)))
3.0b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
7.0ms	(+ (- 1.0 y) (* y (exp z)))
6.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
154.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
33.0ms	(+ (- 1.0 y) (* y (exp z)))
73.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune273.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 5.9b

Counts

93 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
4.0b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-r`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* 0.5 (pow z 2))
5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series353.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 0.5 (pow z 2))
70.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
135.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
117.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	415	800
1	1832	721
2	5001	715

prune268.0ms

Filtered

101 candidates to 71 candidates (70.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	98	8	106

Merged error: 5.9b

Counts

106 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

6.0b	(/ (+ (log 1.0) (* (* y (* (cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z))) (cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z))))) (cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z))))) t)
9.8b	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
9.8b	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
9.8b	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`pow1` `flip3-+` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 68

Calls

4 calls:

6.0ms	(/ (+ (log 1.0) (* (* y (* (cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z))) (cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z))))) (cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z))))) t)
5.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (+ (log 1.0) (* (* y (* (cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z))) (cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z))))) (cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z))))) t)
130.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
122.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
124.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	395	1729
1	1370	1590
2	5001	1473

prune381.0ms

Filtered

80 candidates to 74 candidates (92.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	78	10	88

Merged error: 5.9b

Counts

88 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

9.8b	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
9.8b	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
9.8b	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
9.8b	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
129.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
122.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))
127.0ms	(cbrt (+ (* 0.5 (pow z 2)) (* 1.0 z)))

simplify103.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	234	992
1	778	948
2	3270	808
3	5003	808

prune382.0ms

Filtered

64 candidates to 64 candidates (100.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	64	10	74

Merged error: 5.9b

Counts

74 → 10

regimes467.0ms

Accuracy

73.2% (4.3b remaining)

Error of 8.8b against oracle of 4.5b and baseline of 20.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	25
1	35	25

end0.0ms

sample3.1s

Algorithm

intervals

Results

758.0ms	1426×	body	1280	valid
738.0ms	1497×	body	10240	exit
470.0ms	1622×	body	640	valid
213.0ms	3526×	body	80	valid
173.0ms	927×	body	320	valid
91.0ms	2450×	body	80	nan
85.0ms	71×	body	2560	valid
53.0ms	273×	body	640	nan
51.0ms	459×	body	160	valid
31.0ms	109×	body	1280	nan
24.0ms	182×	body	320	nan
10.0ms	117×	body	160	nan