Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

266×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 16.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.1b	(/ (* y b) t)
4.8b	(/ (* y z) t)
11.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

7.0ms	(+ (+ a 1.0) (/ (* y b) t))
5.0ms	(/ (* y b) t)
4.0ms	(/ (* y z) t)
13.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ (* y b) t))
21.0ms	(/ (* y b) t)
17.0ms	(/ (* y z) t)
92.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	469	909
1	2102	841
2	5001	841

prune320.0ms

Filtered

118 candidates to 78 candidates (66.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	102	16	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	16	119

Merged error: 10.8b

Counts

119 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* y (/ b t)))
4.0b	(* y (/ b t))
4.8b	(/ (* y z) t)
11.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
9×	`add-log-exp`
6×	`pow1` `associate-/r*`
5×	`flip3-+` `associate-r/` `flip-+` `associate-/l`
4×	`cbrt-undiv` `div-exp` `frac-add` `associate-/r/` `distribute-lft-out`
3×	`associate-l` `prod-exp` `sum-log` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `pow-prod-down` `*-commutative`

Counts

4 → 105

Calls

4 calls:

5.0ms	(+ (+ a 1.0) (* y (/ b t)))
6.0ms	(* y (/ b t))
4.0ms	(/ (* y z) t)
11.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

series160.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ a 1.0) (* y (/ b t)))
19.0ms	(* y (/ b t))
17.0ms	(/ (* y z) t)
95.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

simplify62.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	535	849
1	2437	781
2	5001	781

prune328.0ms

Filtered

117 candidates to 80 candidates (68.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	107	10	117
Fresh	9	6	15
Picked	1	0	1
Done	0	0	0
Total	117	16	133

Merged error: 9.3b

Counts

133 → 16

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
3.9b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.0b	(* y (/ b t))
11.1b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
47×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
35×	`associate-r`
32×	`add-exp-log`
25×	`add-cbrt-cube`
14×	`cbrt-prod`
10×	`associate-l` `prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`pow1` `unswap-sqr`
4×	`associate-*r/` `associate-/r/` `div-inv` `add-log-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`pow-prod-down` `frac-add` `*-commutative` `associate-/l/`
1×	`frac-times` `frac-2neg` `pow1/3` `associate-*l/` `clear-num`

Counts

4 → 135

Calls

4 calls:

1.0ms	(cbrt t)
16.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
6.0ms	(* y (/ b t))
9.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt t)
49.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
18.0ms	(* y (/ b t))
267.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

simplify105.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	787	1455
1	4103	1250
2	5002	1202

prune510.0ms

Filtered

147 candidates to 109 candidates (74.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	143	4	147
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	146	17	163

Merged error: 9.3b

Counts

163 → 17

localize23.0ms

Local error

Found 4 expressions with local error:

11.1b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (* (cbrt (* y (/ b t))) (cbrt (* y (/ b t)))) (cbrt (* y (/ b t))))))
21.0b	(cbrt (* y (/ b t)))
21.0b	(cbrt (* y (/ b t)))
21.0b	(cbrt (* y (/ b t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

12.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (* (cbrt (* y (/ b t))) (cbrt (* y (/ b t)))) (cbrt (* y (/ b t))))))
3.0ms	(cbrt (* y (/ b t)))
3.0ms	(cbrt (* y (/ b t)))
4.0ms	(cbrt (* y (/ b t)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (* (cbrt (* y (/ b t))) (cbrt (* y (/ b t)))) (cbrt (* y (/ b t))))))
74.0ms	(cbrt (* y (/ b t)))
79.0ms	(cbrt (* y (/ b t)))
81.0ms	(cbrt (* y (/ b t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	452	1702
1	1461	1513
2	5001	1463

prune332.0ms

Filtered

87 candidates to 66 candidates (75.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	87	17	104

Merged error: 9.3b

Counts

104 → 17

regimes533.0ms

Accuracy

38.7% (3.7b remaining)

Error of 13.9b against oracle of 10.3b and baseline of 16.2b

bsearch108.0ms

Steps

Iters	Range		Point
9	1.357984750387898e+237	1.0239871384498487e+242	1.3709026813582713e+237
7	-4.968960830244951e+63	-4.943933803316178e+61	-5.010089166367012e+61

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	40
1	60	40

end0.0ms

sample650.0ms

Algorithm

intervals

Results

365.0ms

8293×

body

valid