Details

sample41.0ms

Algorithm

intervals

Results

20.0ms

291×

body

valid

simplify53.0ms

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: 25.4b

localize26.0ms

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)
2.4b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
23.7b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite139.0ms

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:

30.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
18.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
50.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
39.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series700.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
37.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
155.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
449.0ms	(/ (* 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	570	1290
1	2788	1121
2	5001	1121

prune442.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1.6453555072203998 (* y b)))
0.3b	(* 1.6453555072203998 (* y b))

rewrite8.0ms

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:

2.0ms	(+ x (* 1.6453555072203998 (* y b)))
5.0ms	(* 1.6453555072203998 (* y b))

series57.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (* 1.6453555072203998 (* y b)))
20.0ms	(* 1.6453555072203998 (* y b))

simplify73.0ms

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

prune91.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
10.9b	(cbrt (* 1.6453555072203998 (* y b)))
10.9b	(cbrt (* 1.6453555072203998 (* y b)))
10.9b	(cbrt (* 1.6453555072203998 (* y b)))

rewrite20.0ms

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:

7.0ms	(* (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)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
97.0ms	(cbrt (* 1.6453555072203998 (* y b)))
96.0ms	(cbrt (* 1.6453555072203998 (* y b)))
99.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify104.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (98.0ms)

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

prune243.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.4b

localize14.0ms

Local error

Found 4 expressions with local error:

10.9b	(cbrt (* 1.6453555072203998 (* y b)))
10.9b	(cbrt (* 1.6453555072203998 (* y b)))
10.9b	(cbrt (* 1.6453555072203998 (* y b)))
10.9b	(cbrt (* 1.6453555072203998 (* y b)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

6.0ms	(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)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (* 1.6453555072203998 (* y b)))
96.0ms	(cbrt (* 1.6453555072203998 (* y b)))
96.0ms	(cbrt (* 1.6453555072203998 (* y b)))
98.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify105.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 5 (101.0ms)

Iter	Nodes	Cost
0	88	272
1	168	244
2	405	212
3	988	212
4	3084	188
5	5001	184

prune165.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.4b

regimes655.0ms

Accuracy

93.7% (1.4b remaining)

Error of 4.7b against oracle of 3.3b and baseline of 25.7b

bsearch248.0ms

Steps

Iters	Range		Point
8	4.132861755868432e+35	2.0187547391177773e+38	8.94259710639458e+37
8	-1.1208825407088278e+55	-2.0210660412987928e+52	-6.503113121711622e+54

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	27
1	71	27

end0.0ms

sample952.0ms

Algorithm

intervals

Results

635.0ms

8838×

body

valid