Details

sample69.0ms

Algorithm

intervals

Results

20.0ms	393×	body	80	valid
19.0ms	376×	body	80	nan

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	12
1	84	12
2	245	12
3	581	12
4	1280	12
5	2462	12
6	5001	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(- (* (- x 0.5) (log x)) x)
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

23.0ms	(* (- x 0.5) (log x))
56.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
16.0ms	(- (* (- x 0.5) (log x)) x)
51.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (- x 0.5) (log x))
427.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
410.0ms	(- (* (- x 0.5) (log x)) x)
78.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	501	839
1	1642	776
2	5002	763

prune408.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod` `associate-+l+`
12×	`associate-+r+`
9×	`times-frac`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `flip3--` `frac-add` `flip--`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

37.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
51.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

762.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
178.0ms	(cbrt x)
181.0ms	(cbrt x)
80.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	624	1080
1	2446	943
2	5001	919

prune619.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt x)
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
9×	`times-frac`
6×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (sqrt x))
1.0ms	(cbrt (sqrt x))
1.0ms	(cbrt x)
52.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series571.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (sqrt x))
153.0ms	(cbrt (sqrt x))
182.0ms	(cbrt x)
81.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify150.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	277	548
1	911	500
2	4738	481
3	5003	481

prune479.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.5b	(* (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)) (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)))
5.2b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite457.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
19×	`pow1`
16×	`associate-+l+`
14×	`add-log-exp`
12×	`log-prod` `sqrt-div` `associate--l+`
11×	`swap-sqr`
9×	`flip3-+` `times-frac` `flip-+`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow-prod-up`
4×	`frac-times` `sum-log` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `pow-sqr` `associate-/l`
2×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `associate-r/` `associate-l/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 135

Calls

4 calls:

58.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
57.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
284.0ms	(* (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)) (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)))
53.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

422.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
426.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
437.0ms	(* (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)) (sqrt (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)))
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	453	1415
1	1730	1287
2	5002	1255

prune469.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.4b

regimes301.0ms

Accuracy

35.5% (0.8b remaining)

Error of 5.8b against oracle of 5.0b and baseline of 6.3b

bsearch85.0ms

Steps

Iters	Range		Point
7	4.645923808947329e+58	1.644444765204268e+60	1.6119733519502367e+60

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	50
1	77	50
2	77	50

end0.0ms

sample1.8s

Algorithm

intervals

Results

601.0ms	11688×	body	80	valid
501.0ms	11616×	body	80	nan