Details

sample49.0ms

Algorithm

intervals

Results

24.0ms

281×

body

valid

simplify62.0ms

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: 26.7b

Counts

2 → 1

localize25.0ms

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)
2.9b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
25.1b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite72.0ms

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 3.13060547623) 11.1667541262) z) t) z)
8.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
17.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
33.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series763.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
68.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
179.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
477.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify87.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (17.0ms)

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

prune411.0ms

Filtered

99 candidates to 71 candidates (71.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	8	100

Merged error: 1.3b

Counts

100 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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))

series62.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (* 1.6453555072203998 (* y b)))
22.0ms	(* 1.6453555072203998 (* y b))

simplify76.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

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

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	34	9	43

Merged error: 1.3b

Counts

43 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

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

series62.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (* (* 1.6453555072203998 y) b))
24.0ms	(* (* 1.6453555072203998 y) b)

simplify115.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	163	140
1	771	123
2	3811	123
3	5002	123

prune87.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	34	10	44

Merged error: 1.3b

Counts

44 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
12.7b	(cbrt (* 1.6453555072203998 (* y b)))
12.7b	(cbrt (* 1.6453555072203998 (* y b)))
12.7b	(cbrt (* 1.6453555072203998 (* y b)))

rewrite19.0ms

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)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
105.0ms	(cbrt (* 1.6453555072203998 (* y b)))
105.0ms	(cbrt (* 1.6453555072203998 (* y b)))
106.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify111.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (104.0ms)

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

prune191.0ms

Filtered

70 candidates to 56 candidates (80.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	70	10	80

Merged error: 1.3b

Counts

80 → 10

regimes732.0ms

Accuracy

94.5% (1.3b remaining)

Error of 4.4b against oracle of 3.1b and baseline of 26.1b

bsearch261.0ms

Steps

Iters	Range		Point
8	4.324120709964065e+34	4.658876118741473e+38	4.0388119606750144e+38
8	-4.7242131159624914e+51	-3.871789014598758e+47	-1.527293291539177e+51

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	27
1	71	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

775.0ms

8863×

body

valid