Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

260×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune5.0ms

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: 16.5b

Counts

2 → 1

localize23.0ms

Local error

Found 3 expressions with local error:

4.0b	(/ (* y z) t)
7.1b	(/ (* y b) t)
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
26×	`times-frac`
21×	`distribute-lft-out`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`pow1` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `add-log-exp`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

4.0ms	(/ (* y z) t)
4.0ms	(/ (* y b) t)
15.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* y z) t)
21.0ms	(/ (* y b) t)
95.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	432	769
1	1895	710
2	5001	710

prune252.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	11	99

Merged error: 11.7b

Counts

99 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

4.0b	(/ (* y z) t)
4.3b	(* y (/ b t))
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

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

series131.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (* y z) t)
21.0ms	(* y (/ b t))
93.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

simplify61.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	496	717
1	2212	658
2	5001	658

prune290.0ms

Filtered

99 candidates to 68 candidates (68.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	98	12	110

Merged error: 10.3b

Counts

110 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
4.3b	(* y (/ b t))
4.7b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.9b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

rewrite39.0ms

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)
7.0ms	(* y (/ b t))
17.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
10.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt t)
32.0ms	(* y (/ b t))
46.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
268.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

simplify106.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	787	1455
1	4103	1250
2	5003	1202

prune502.0ms

Filtered

147 candidates to 109 candidates (74.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	143	4	147
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	143	16	159

Merged error: 10.3b

Counts

159 → 16

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
4.3b	(* y (/ b t))
4.7b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.9b	(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
52×	`associate-r`
49×	`times-frac`
39×	`add-exp-log`
37×	`*-un-lft-identity`
36×	`add-cube-cbrt`
28×	`add-cbrt-cube`
14×	`cbrt-prod` `prod-exp`
13×	`associate-l`
12×	`cbrt-unprod`
11×	`unswap-sqr`
10×	`pow1` `div-exp`
9×	`cbrt-undiv`
5×	`associate-*r/`
4×	`flip3-+` `associate-/r/` `flip-+` `div-inv` `add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-l/` `-commutative`
2×	`frac-add`
1×	`rec-exp` `pow1/3` `1-exp` `un-div-inv`

Counts

4 → 146

Calls

4 calls:

1.0ms	(cbrt t)
6.0ms	(* y (/ b t))
15.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
13.0ms	(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt t)
19.0ms	(* y (/ b t))
53.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
271.0ms	(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

simplify121.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	917	1582
1	4955	1352
2	5001	1352

prune601.0ms

Filtered

158 candidates to 119 candidates (75.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	158	16	174

Merged error: 10.3b

Counts

174 → 16

regimes568.0ms

Accuracy

56.5% (2.6b remaining)

Error of 12.8b against oracle of 10.2b and baseline of 16.2b

bsearch115.0ms

Steps

Iters	Range		Point
9	3.221036973602815e-43	2.6651704586528834e-36	2.6314109640294897e-36
9	-3.934899403699163e+52	-4.094541402388917e+46	-1.410389553791968e+48

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	29
1	45	29

end0.0ms

sample633.0ms

Algorithm

intervals

Results

363.0ms

8290×

body

valid