Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

289×

body

valid

simplify55.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
1.0b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.0b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite146.0ms

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:

19.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
31.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
50.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
42.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series718.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
61.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
167.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
453.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify83.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (16.0ms)

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

prune445.0ms

Filtered

99 candidates to 73 candidates (73.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.6b

localize5.0ms

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:

2.0ms	(+ x (* 1.6453555072203998 (* y b)))
6.0ms	(* 1.6453555072203998 (* y b))

series57.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* 1.6453555072203998 (* y b)))
20.0ms	(* 1.6453555072203998 (* y b))

simplify71.0ms

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

prune92.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize5.0ms

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

2.0ms	(+ x (* (* 1.6453555072203998 y) b))
7.0ms	(* (* 1.6453555072203998 y) b)

series58.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (* 1.6453555072203998 y) b))
23.0ms	(* (* 1.6453555072203998 y) b)

simplify108.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	163	140
1	771	123
2	3811	123
3	5002	123

prune98.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.5b	(cbrt b)
0.5b	(cbrt b)
0.5b	(cbrt b)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt b) (cbrt b))
0.0ms	(cbrt b)
0.0ms	(cbrt b)
1.0ms	(cbrt b)

series724.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt b) (cbrt b))
176.0ms	(cbrt b)
177.0ms	(cbrt b)
175.0ms	(cbrt b)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune230.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.6b

regimes624.0ms

Accuracy

95.2% (1.2b remaining)

Error of 4.3b against oracle of 3.1b and baseline of 28.0b

bsearch186.0ms

Steps

Iters	Range		Point
5	1.0811699912415038e+55	4.293988848357598e+55	2.3450302741966227e+55
7	-6.052340485406213e+46	-4.288389801987159e+44	-4.90858287329963e+46

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	27
1	71	27

end0.0ms

sample916.0ms

Algorithm

intervals

Results

615.0ms

8878×

body

valid