Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

284×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
2.9b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.0b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite367.0ms

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:

27.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
85.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
134.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
118.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series706.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
58.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
156.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
428.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify77.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	573	1240
1	2806	1065
2	5001	1065

prune443.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.6b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

7.0ms	(+ x (* 1.6453555072203998 (* y b)))
16.0ms	(* 1.6453555072203998 (* y b))

series54.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* 1.6453555072203998 (* y b)))
19.0ms	(* 1.6453555072203998 (* y b))

simplify69.0ms

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

prune91.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.6b

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)))
0.3b	(* (sqrt 1.6453555072203998) (* y b))

rewrite86.0ms

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:

9.0ms	(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
51.0ms	(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
24.0ms	(* (sqrt 1.6453555072203998) (* y b))

series214.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
75.0ms	(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
42.0ms	(* (sqrt 1.6453555072203998) (* y b))

simplify37.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

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

prune171.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (sqrt 1.6453555072203998) (* y b))) (cbrt (* (sqrt 1.6453555072203998) (* y b))))
10.2b	(cbrt (* (sqrt 1.6453555072203998) (* y b)))
10.2b	(cbrt (* (sqrt 1.6453555072203998) (* y b)))
10.2b	(cbrt (* (sqrt 1.6453555072203998) (* y b)))

rewrite70.0ms

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:

28.0ms	(* (cbrt (* (sqrt 1.6453555072203998) (* y b))) (cbrt (* (sqrt 1.6453555072203998) (* y b))))
13.0ms	(cbrt (* (sqrt 1.6453555072203998) (* y b)))
15.0ms	(cbrt (* (sqrt 1.6453555072203998) (* y b)))
12.0ms	(cbrt (* (sqrt 1.6453555072203998) (* y b)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt (* (sqrt 1.6453555072203998) (* y b))) (cbrt (* (sqrt 1.6453555072203998) (* y b))))
131.0ms	(cbrt (* (sqrt 1.6453555072203998) (* y b)))
132.0ms	(cbrt (* (sqrt 1.6453555072203998) (* y b)))
134.0ms	(cbrt (* (sqrt 1.6453555072203998) (* y b)))

simplify102.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	198	538
1	717	469
2	3839	418
3	5001	377

prune218.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.6b

regimes710.0ms

Accuracy

94.8% (1.2b remaining)

Error of 4.4b against oracle of 3.2b and baseline of 26.2b

bsearch264.0ms

Steps

Iters	Range		Point
7	4.7096121893936013e+55	1.1088207870187919e+57	8.559962113309013e+55
11	-4.892093976664808e+67	-2.8021475067895277e+47	-3.9784834439524886e+48

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	27
1	71	27

end0.0ms

sample1.0s

Algorithm

intervals

Results

572.0ms

8869×

body

valid