Details

sample47.0ms

Algorithm

intervals

Results

24.0ms

287×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	18
1	116	18
2	329	18
3	935	18
4	2876	18
5	5001	18

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 27.5b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
1.7b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.5b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

12.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
7.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
15.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series206.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
48.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
139.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify77.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	573	1240
1	2806	1065
2	5001	1065

prune224.0ms

Filtered

99 candidates to 72 candidates (27.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	7	100

Merged error: 3.0b

Counts

100 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 1.6453555072203998 (* y b))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* 1.6453555072203998 (* y b))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* 1.6453555072203998 (* y b))

simplify78.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	86	71
1	318	56
2	1232	56
3	3436	56
4	5002	56

prune77.0ms

Filtered

21 candidates to 11 candidates (47.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	18	10	28

Merged error: 3.0b

Counts

28 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
11.3b	(cbrt (* 1.6453555072203998 (* y b)))
11.3b	(cbrt (* 1.6453555072203998 (* y b)))
11.3b	(cbrt (* 1.6453555072203998 (* y b)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
17.0ms	(cbrt (* 1.6453555072203998 (* y b)))
17.0ms	(cbrt (* 1.6453555072203998 (* y b)))
17.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify105.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	205	465
1	734	414
2	3843	353
3	5002	348

prune202.0ms

Filtered

70 candidates to 52 candidates (25.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	68	12	80

Merged error: 3.0b

Counts

80 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

11.3b	(cbrt (* 1.6453555072203998 (* y b)))
11.3b	(cbrt (* 1.6453555072203998 (* y b)))
11.3b	(cbrt (* 1.6453555072203998 (* y b)))
11.3b	(cbrt (* 1.6453555072203998 (* y b)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (* 1.6453555072203998 (* y b)))
17.0ms	(cbrt (* 1.6453555072203998 (* y b)))
18.0ms	(cbrt (* 1.6453555072203998 (* y b)))
18.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify47.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 4 (43.0ms)

Iter	Nodes	Cost
0	88	296
1	197	268
2	584	236
3	1587	216
4	5002	212

prune175.0ms

Filtered

48 candidates to 40 candidates (16.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	48	12	60

Merged error: 3.0b

Counts

60 → 12

regimes1.1s

Accuracy

94.6% (1.2b remaining)

Error of 4.5b against oracle of 3.3b and baseline of 26.0b

bsearch66.0ms

Steps

Iters	Range		Point
7	7.889909785656136e+54	7.542858093380324e+56	4.0355541302242775e+55
9	-1.1827509301813148e+66	-1.1484139008798615e+57	-3.821213396249923e+58

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	27
1	72	27

end0.0ms

sample1.3s

Algorithm

intervals

Results

789.0ms

8911×

body

valid

Details

sample47.0ms

simplify53.0ms

prune5.0ms

localize28.0ms

rewrite62.0ms

series206.0ms

simplify77.0ms

prune224.0ms

localize5.0ms

rewrite5.0ms

series4.0ms

simplify78.0ms

prune77.0ms

localize10.0ms

rewrite18.0ms

series81.0ms

simplify105.0ms

prune202.0ms

localize17.0ms

rewrite15.0ms

series70.0ms

simplify47.0ms

prune175.0ms

regimes1.1s

bsearch66.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling