Details

sample58.0ms

Algorithm

intervals

Results

20.0ms

294×

body

valid

simplify61.0ms

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: 30.4b

localize26.0ms

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)
3.4b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.7b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite320.0ms

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:

48.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
25.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
127.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
116.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series745.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
71.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
177.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
461.0ms	(/ (* 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

prune481.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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)))
21.0ms	(* 1.6453555072203998 (* y b))

series56.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* 1.6453555072203998 (* y b)))
21.0ms	(* 1.6453555072203998 (* y b))

simplify80.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	149	139
1	529	122
2	2246	122
3	5002	122

prune103.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:

6.0ms	(+ x (* (* 1.6453555072203998 y) b))
17.0ms	(* (* 1.6453555072203998 y) b)

series56.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (* 1.6453555072203998 y) b))
20.0ms	(* (* 1.6453555072203998 y) b)

simplify119.0ms

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

prune107.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
16.3b	(cbrt (* (* 1.6453555072203998 y) b))
16.3b	(cbrt (* (* 1.6453555072203998 y) b))
16.3b	(cbrt (* (* 1.6453555072203998 y) b))

rewrite67.0ms

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:

25.0ms	(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
16.0ms	(cbrt (* (* 1.6453555072203998 y) b))
12.0ms	(cbrt (* (* 1.6453555072203998 y) b))
12.0ms	(cbrt (* (* 1.6453555072203998 y) b))

series470.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (* (* 1.6453555072203998 y) b)) (cbrt (* (* 1.6453555072203998 y) b)))
106.0ms	(cbrt (* (* 1.6453555072203998 y) b))
105.0ms	(cbrt (* (* 1.6453555072203998 y) b))
105.0ms	(cbrt (* (* 1.6453555072203998 y) b))

simplify109.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	207	442
1	705	391
2	3375	331
3	5001	324

prune449.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

regimes647.0ms

Accuracy

95.2% (1.2b remaining)

Error of 4.2b against oracle of 3.0b and baseline of 27.6b

bsearch330.0ms

Steps

Iters	Range		Point
11	1401814831439.3975	4.1904334431414967e+49	2.828684512998161e+37
9	-7.775203197540148e+52	-2.2962984177568013e+43	-3.4736377323313583e+49

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	27
1	71	27

end0.0ms

sample1.0s

Algorithm

intervals

Results

582.0ms

8844×

body

valid