Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

285×

body

valid

simplify57.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize29.0ms

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)
2.9b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.6b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite66.0ms

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))
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))

series773.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
69.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
173.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
466.0ms	(/ (* 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	573	1240
1	2806	1065
2	5001	1065

prune491.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize6.0ms

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))

series65.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* 1.6453555072203998 (* y b)))
23.0ms	(* 1.6453555072203998 (* y b))

simplify75.0ms

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

prune105.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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))))
6.0ms	(* (sqrt 1.6453555072203998) (* y b))
10.0ms	(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))

series238.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
46.0ms	(* (sqrt 1.6453555072203998) (* y b))
84.0ms	(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))

simplify40.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

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

prune191.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
3.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

9.0ms	(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
2.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
165.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
159.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
166.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify97.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	255	1035
1	824	970
2	3359	912
3	5001	891

prune304.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.9b

regimes823.0ms

Accuracy

93.6% (1.5b remaining)

Error of 4.6b against oracle of 3.2b and baseline of 26.0b

bsearch268.0ms

Steps

Iters	Range		Point
7	3042832914037.265	132187102959550.33	130676711668149.23
9	-7.835926923548976e+31	-1.631971165076788e+23	-3.6584866307009356e+27

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

733.0ms

8891×

body

valid