Details

sample51.0ms

Algorithm

intervals

Results

27.0ms

294×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (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: 31.7b

Counts

2 → 1

localize24.0ms

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)
4.5b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.4b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite71.0ms

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:

13.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
7.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
16.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
32.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series746.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
67.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
168.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
453.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify278.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (17.0ms)

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

prune387.0ms

Filtered

99 candidates to 72 candidates (72.7%)

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: 4.7b

Counts

100 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1.6453555072203998 (* y b)))
0.3b	(* 1.6453555072203998 (* y b))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ x (* 1.6453555072203998 (* y b)))
5.0ms	(* 1.6453555072203998 (* y b))

series58.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* 1.6453555072203998 (* y b)))
23.0ms	(* 1.6453555072203998 (* y b))

simplify71.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	149	139
1	529	122
2	2246	122
3	5002	122

prune85.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	32	10	42

Merged error: 4.7b

Counts

42 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
11.5b	(cbrt (* 1.6453555072203998 (* y b)))
11.5b	(cbrt (* 1.6453555072203998 (* y b)))
11.5b	(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)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
99.0ms	(cbrt (* 1.6453555072203998 (* y b)))
99.0ms	(cbrt (* 1.6453555072203998 (* y b)))
99.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify101.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	205	441
1	703	390
2	3412	330
3	5001	323

prune216.0ms

Filtered

70 candidates to 56 candidates (80.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	70	10	80

Merged error: 4.7b

Counts

80 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

11.5b	(cbrt (* 1.6453555072203998 (* y b)))
11.5b	(cbrt (* 1.6453555072203998 (* y b)))
11.5b	(cbrt (* 1.6453555072203998 (* y b)))
11.5b	(cbrt (* 1.6453555072203998 (* y b)))

rewrite16.0ms

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)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (* 1.6453555072203998 (* y b)))
99.0ms	(cbrt (* 1.6453555072203998 (* y b)))
98.0ms	(cbrt (* 1.6453555072203998 (* y b)))
100.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify102.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 5 (97.0ms)

Iter	Nodes	Cost
0	88	272
1	168	244
2	405	212
3	988	212
4	3084	188
5	5001	184

prune137.0ms

Filtered

48 candidates to 36 candidates (75.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	8	8
Picked	1	0	1
Done	1	0	1
Total	49	9	58

Merged error: 4.7b

Counts

58 → 9

regimes600.0ms

Accuracy

93.2% (1.5b remaining)

Error of 5.2b against oracle of 3.6b and baseline of 26.1b

bsearch256.0ms

Steps

Iters	Range		Point
6	5.449069412576061e+25	2.826963092117455e+26	1.2370298024693897e+26
10	-1.2853898846943825e+28	-31770318212.664288	-6.471613199225385e+26

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	27
1	72	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

752.0ms

8888×

body

valid