Details

sample38.0ms

Algorithm

intervals

Results

11.0ms

345×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	4

prune4.0ms

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: 5.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
5.8b	(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

4.0ms	(- x (/ (* y (- z t)) a))
6.0ms	(* y (- z t))
6.0ms	(/ (* y (- z t)) a)

series34.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- x (/ (* y (- z t)) a))
7.0ms	(* y (- z t))
12.0ms	(/ (* y (- z t)) a)

simplify38.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306

prune100.0ms

Filtered

47 candidates to 72 candidates (-53.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	64	8	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
5.5b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
21.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt a)
21.0ms	(cbrt a)
21.0ms	(cbrt a)
18.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	500	954
1	2500	845
2	5001	783

prune130.0ms

Filtered

85 candidates to 116 candidates (-36.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

5.5b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
7.4b	(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
7.4b	(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
7.4b	(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
40×	`times-frac`
35×	`*-un-lft-identity`
34×	`associate-r`
25×	`add-exp-log`
23×	`add-cube-cbrt`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`cbrt-div`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`frac-times` `associate-r/` `associate-l/` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 107

Calls

4 calls:

19.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
11.0ms	(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
13.0ms	(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
11.0ms	(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
32.0ms	(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
35.0ms	(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
32.0ms	(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))

simplify66.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	543	1308
1	2688	1154
2	5001	1095

prune167.0ms

Filtered

97 candidates to 119 candidates (-22.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	118	9	127

Merged error: 0.0b

Counts

127 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (+ (* y z) (* y (neg t))) a))
0.2b	(+ (* y z) (* y (neg t)))
5.8b	(/ (+ (* y z) (* y (neg t))) a)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`distribute-rgt-neg-out`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`div-sub` `associate-/l*`
3×	`pow1` `unsub-neg` `associate-/r*`
2×	`flip3-+` `flip-+` `associate-/l/` `associate--r-` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 66

Calls

3 calls:

8.0ms	(- x (/ (+ (* y z) (* y (neg t))) a))
3.0ms	(+ (* y z) (* y (neg t)))
6.0ms	(/ (+ (* y z) (* y (neg t))) a)

series35.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- x (/ (+ (* y z) (* y (neg t))) a))
7.0ms	(+ (* y z) (* y (neg t)))
13.0ms	(/ (+ (* y z) (* y (neg t))) a)

simplify157.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (150.0ms)

Iter	Nodes	Cost
0	282	582
1	1049	507
2	4936	475
3	5001	473

prune67.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	4	2	6
Picked	0	1	1
Done	1	1	2
Total	79	5	84

Merged error: 0b

Counts

84 → 5

regimes495.0ms

Accuracy

37.7% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.5b

bsearch69.0ms

Steps

Iters	Range		Point
9	1.3688557459624616e-64	2.762779013679467e-55	1.7142068329116636e-56
8	-1.0938668144216346e-284	-5.312900033348275e-289	-5.7257024653564855e-285

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	14
1	36	14
2	37	14
3	37	14

end0.0ms

sample915.0ms

Algorithm

intervals

Results

355.0ms

10633×

body

valid

Details

sample38.0ms

simplify45.0ms

prune4.0ms

localize7.0ms

rewrite18.0ms

series34.0ms

simplify38.0ms

prune100.0ms

localize12.0ms

rewrite29.0ms

series84.0ms

simplify62.0ms

prune130.0ms

localize19.0ms

rewrite59.0ms

series116.0ms

simplify66.0ms

prune167.0ms

localize9.0ms

rewrite21.0ms

series35.0ms

simplify157.0ms

prune67.0ms

regimes495.0ms

bsearch69.0ms

simplify2.0ms

end0.0ms

sample915.0ms

Profiling