Details

sample61.0ms

Algorithm

intervals

Results

36.0ms

280×

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

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: 29.4b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
1.5b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.6b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite64.0ms

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:

11.0ms	(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
15.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series200.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
50.0ms	(* 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))

simplify79.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	581	1221
1	2820	1048
2	5001	1048

prune238.0ms

Filtered

72 candidates to 99 candidates (-37.5%)

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: 2.9b

Counts

100 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1.6453555072203998 (* y b)))
0.2b	(* 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:

2.0ms	(+ x (* 1.6453555072203998 (* y b)))
5.0ms	(* 1.6453555072203998 (* y b))

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* 1.6453555072203998 (* y b)))
4.0ms	(* 1.6453555072203998 (* y b))

simplify68.0ms

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

prune94.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	32	10	42

Merged error: 2.9b

Counts

42 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
0.2b	(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
0.2b	(* (sqrt 1.6453555072203998) (* y b))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
5×	`add-log-exp`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 56

Calls

3 calls:

3.0ms	(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
8.0ms	(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
6.0ms	(* (sqrt 1.6453555072203998) (* y b))

series26.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
8.0ms	(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
5.0ms	(* (sqrt 1.6453555072203998) (* y b))

simplify35.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	222	357
1	944	282
2	5001	282

prune137.0ms

Filtered

40 candidates to 65 candidates (-62.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	66	9	75

Merged error: 2.9b

Counts

75 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
0.2b	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
26.1b	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
8×	`pow1` `flip3-+` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

12.0ms	(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
9.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
24.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
26.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series198.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
143.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
44.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify106.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	744	3547
1	3472	3330
2	5001	3329

prune415.0ms

Filtered

127 candidates to 161 candidates (-26.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	161	9	170

Merged error: 2.9b

Counts

170 → 9

regimes934.0ms

Accuracy

93.7% (1.6b remaining)

Error of 4.9b against oracle of 3.3b and baseline of 28.7b

bsearch74.0ms

Steps

Iters	Range		Point
9	3.890723414847511e+71	1.3537271393625857e+78	3.937525278008779e+71
9	-4.4558008352003035e+76	-1.6248497805781074e+69	-1.7319879713628947e+69

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	27
1	72	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

796.0ms

8899×

body

valid

Details

sample61.0ms

simplify53.0ms

prune5.0ms

localize23.0ms

rewrite64.0ms

series200.0ms

simplify79.0ms

prune238.0ms

localize5.0ms

rewrite8.0ms

series11.0ms

simplify68.0ms

prune94.0ms

localize7.0ms

rewrite18.0ms

series26.0ms

simplify35.0ms

prune137.0ms

localize23.0ms

rewrite77.0ms

series198.0ms

simplify106.0ms

prune415.0ms

regimes934.0ms

bsearch74.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling