Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

281×

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize27.0ms

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) t) z)
2.2b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.4b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite358.0ms

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:

79.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
47.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
120.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
109.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series659.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
34.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
154.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
414.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify81.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	570	1290
1	2788	1121
2	5001	1121

prune440.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:

6.0ms	(+ x (* 1.6453555072203998 (* y b)))
16.0ms	(* 1.6453555072203998 (* y b))

series50.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ x (* 1.6453555072203998 (* y b)))
18.0ms	(* 1.6453555072203998 (* y b))

simplify73.0ms

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

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
4.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite40.0ms

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:

29.0ms	(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
3.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
3.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))

series547.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
136.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
141.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
137.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify97.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (86.0ms)

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

prune291.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.8b	(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series547.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
139.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
134.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
137.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify58.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	144	548
1	391	512
2	1462	504
3	5001	484

prune255.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

regimes736.0ms

Accuracy

93.3% (1.6b remaining)

Error of 4.6b against oracle of 3.0b and baseline of 26.9b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	44
1	68	44

end0.0ms

sample984.0ms

Algorithm

intervals

Results

556.0ms

8888×

body

valid