Details

sample140.0ms

Algorithm

intervals

Results

36.0ms	51×	body	1280	valid
30.0ms	41×	body	5120	exit
22.0ms	57×	body	640	valid
9.0ms	107×	body	80	valid
7.0ms	29×	body	320	valid
6.0ms	95×	body	80	nan
2.0ms	7×	body	640	nan
2.0ms	13×	body	160	valid
1.0ms	1×	body	2560	valid
1.0ms	4×	body	320	nan
1.0ms	1×	body	1280	nan
0.0ms	4×	body	160	nan

simplify216.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 26.4b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.6b	(+ (- 1.0 y) (* y (exp z)))
1.7b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite29.0ms

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))
11.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
6.0ms	(+ (- 1.0 y) (* y (exp z)))
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
158.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
40.0ms	(+ (- 1.0 y) (* y (exp z)))
70.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

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

prune248.0ms

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: 5.1b

Counts

93 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (pow z 2))
2.1b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.6b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

6.0ms	(* 0.5 (pow z 2))
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)

series243.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* 0.5 (pow z 2))
88.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
130.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	392	702
1	1747	634
2	5002	634

prune234.0ms

Filtered

87 candidates to 60 candidates (69.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	82	10	92

Merged error: 5.0b

Counts

92 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (pow z 2))
2.1b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.6b	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`associate-r`
19×	`add-exp-log`
17×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`add-cbrt-cube`
11×	`times-frac`
9×	`associate-l`
8×	`prod-exp` `unswap-sqr`
7×	`pow1`
4×	`unpow-prod-down` `cbrt-unprod`
3×	`flip3-+` `associate-r/` `-commutative` `flip-+` `add-log-exp`
2×	`frac-times` `div-exp` `pow-prod-down` `associate-*l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `rec-exp` `distribute-lft-in` `1-exp` `pow-exp` `un-div-inv` `div-inv`

Counts

3 → 89

Calls

3 calls:

5.0ms	(* 0.5 (pow z 2))
6.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
9.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

series241.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* 0.5 (pow z 2))
89.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
126.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

simplify75.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	503	811
1	2538	722
2	5001	710

prune256.0ms

Filtered

98 candidates to 64 candidates (65.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	98	10	108

Merged error: 5.0b

Counts

108 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

6.6b	(/ (+ (log 1.0) (* (* (cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))) (cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))) t)
20.3b	(cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))
20.3b	(cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))
20.3b	(cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

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

series969.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(/ (+ (log 1.0) (* (* (cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))) (cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))) t)
195.0ms	(cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))
398.0ms	(cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))
205.0ms	(cbrt (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))

simplify57.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	437	1881
1	1518	1711
2	5001	1605

prune317.0ms

Filtered

74 candidates to 65 candidates (87.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	74	10	84

Merged error: 5.0b

Counts

84 → 10

regimes510.0ms

Accuracy

72.3% (4.6b remaining)

Error of 8.9b against oracle of 4.3b and baseline of 21.0b

bsearch70.0ms

Steps

Iters	Range		Point
7	-2.8691051316451832e+23	-2.94609198328492e+21	-3.007435671697106e+21

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	17
1	37	17

end0.0ms

sample3.5s

Algorithm

intervals

Results

847.0ms	1525×	body	5120	exit
822.0ms	1420×	body	1280	valid
549.0ms	1629×	body	640	valid
243.0ms	3494×	body	80	valid
193.0ms	888×	body	320	valid
130.0ms	2584×	body	80	nan
109.0ms	84×	body	2560	valid
70.0ms	515×	body	160	valid
63.0ms	266×	body	640	nan
41.0ms	113×	body	1280	nan
31.0ms	193×	body	320	nan
11.0ms	106×	body	160	nan