Details

analyze1.2s

Algorithm: search

sample32.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid

simplify7.0ms

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

prune5.0ms

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: 17.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.4b	(/ (* y z) t)
5.6b	(/ (* y b) t)
12.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite30.0ms

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

series61.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (+ a 1.0) (/ (* y b) t))
5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
42.0ms	(/ (+ 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

prune200.0ms

Filtered

78 candidates to 118 candidates (-51.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	107	11	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	11	119

Merged error: 11.8b

Counts

119 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
4.0b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.6b	(/ (* y b) t)
12.5b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
46×	`times-frac`
32×	`add-exp-log` `add-cube-cbrt`
25×	`add-cbrt-cube`
22×	`associate-r`
14×	`cbrt-prod`
12×	`distribute-lft-out`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r*`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/`
1×	`frac-times` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 132

Calls

4 calls:

1.0ms	(cbrt t)
14.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.0ms	(/ (* y b) t)
11.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt t)
10.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.0ms	(/ (* y b) t)
68.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify85.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	754	1573
1	3596	1419
2	5001	1366

prune203.0ms

Filtered

99 candidates to 144 candidates (-45.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	140	4	144
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	141	14	155

Merged error: 10.5b

Counts

155 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
3.8b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.0b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
12.5b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
65×	`times-frac`
48×	`add-exp-log`
44×	`associate-r`
43×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
25×	`cbrt-prod`
16×	`prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
14×	`associate-l`
12×	`unswap-sqr`
8×	`pow1` `associate-/r/`
6×	`frac-add`
5×	`flip3-+` `flip-+` `div-inv`
4×	`frac-times` `associate-r/` `associate-l/` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `*-commutative` `associate-/l/`
1×	`frac-2neg` `pow1/3` `clear-num`

Counts

4 → 166

Calls

4 calls:

1.0ms	(cbrt t)
14.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
14.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
10.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
10.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
74.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify112.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	976	2263
1	4656	2028
2	5001	1936

prune256.0ms

Filtered

128 candidates to 178 candidates (-39.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	177	15	192

Merged error: 10.5b

Counts

192 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
4.0b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.9b	(* y (/ b t))
12.5b	(/ (+ 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)
14.0ms	(* (/ 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))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
12.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.0ms	(* y (/ b t))
66.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

simplify100.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	805	1467
1	3984	1313
2	5001	1260

prune138.0ms

Filtered

106 candidates to 147 candidates (-38.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	147	15	162

Merged error: 10.5b

Counts

162 → 15

regimes988.0ms

Accuracy

46.9% (3.3b remaining)

Error of 13.6b against oracle of 10.2b and baseline of 16.5b

bsearch3.7s

Steps

Iters	Range		Point
9	1.189665597673409e-64	1.7928365741096753e-59	1.7760786447759744e-59
6	-3.085943244688896e+118	-4.7114672541637123e+117	-4.973621433515476e+117

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	22
1	47	22

end0.0ms

analyze1.3s

Algorithm: search

sample725.0ms

Algorithm

intervals

Results

441.0ms	8000×	body	80	valid
15.0ms	273×	body	80	invalid

Details

analyze1.2s

sample32.0ms

simplify7.0ms

prune5.0ms

localize12.0ms

rewrite30.0ms

series61.0ms

simplify55.0ms

prune200.0ms

localize17.0ms

rewrite35.0ms

series107.0ms

simplify85.0ms

prune203.0ms

localize18.0ms

rewrite46.0ms

series116.0ms

simplify112.0ms

prune256.0ms

localize18.0ms

rewrite38.0ms

series106.0ms

simplify100.0ms

prune138.0ms

regimes988.0ms

bsearch3.7s

simplify2.0ms

end0.0ms

analyze1.3s

sample725.0ms

Profiling