Details

sample43.0ms

Algorithm

intervals

Results

22.0ms

282×

body

valid

simplify54.0ms

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 (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: 31.4b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
2.2b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.2b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite65.0ms

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:

10.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
9.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
15.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series722.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
60.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
169.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
451.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify78.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	576	1201
1	2797	1026
2	5001	1026

prune418.0ms

Filtered

99 candidates to 71 candidates (71.7%)

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: 3.6b

Counts

100 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 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))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 1.6453555072203998 (* y b))

simplify79.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

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

prune61.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	18	10	28

Merged error: 3.6b

Counts

28 → 10

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

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* 1.6453555072203998 y) b)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* (* 1.6453555072203998 y) b)

simplify63.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	98	72
1	486	57
2	2390	57
3	5002	57

prune55.0ms

Filtered

21 candidates to 11 candidates (52.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	20	11	31

Merged error: 3.6b

Counts

31 → 11

localize201.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.5b	(cbrt b)
0.5b	(cbrt b)
0.5b	(cbrt b)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt b) (cbrt b))
1.0ms	(cbrt b)
2.0ms	(cbrt b)
1.0ms	(cbrt b)

series720.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt b) (cbrt b))
180.0ms	(cbrt b)
172.0ms	(cbrt b)
172.0ms	(cbrt b)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune210.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	6	8
Picked	1	0	1
Done	1	1	2
Total	86	10	96

Merged error: 3.6b

Counts

96 → 10

regimes562.0ms

Accuracy

94.1% (1.4b remaining)

Error of 4.6b against oracle of 3.3b and baseline of 26.3b

bsearch173.0ms

Steps

Iters	Range		Point
6	2.3207200166070574e+43	1.0035707230662013e+44	3.6643853739374403e+43
5	-5.405497302646586e+52	-1.6395025180632993e+52	-2.0015393460666475e+52

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	27
1	72	27

end0.0ms

sample921.0ms

Algorithm

intervals

Results

617.0ms

8849×

body

valid