Details

sample24.0ms

Algorithm

intervals

Results

7.0ms

266×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	65	4
3	156	4
4	302	4
5	470	4
6	865	4
7	1243	4
8	1545	4
9	1705	4
10	1705	4

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 6.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
6.4b	(/ x (* (- y z) (- t z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

19.0ms	(* (- y z) (- t z))
9.0ms	(/ x (* (- y z) (- t z)))

series188.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- y z) (- t z))
151.0ms	(/ x (* (- y z) (- t z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	300	403
1	1371	359
2	5001	355

prune218.0ms

Filtered

69 candidates to 51 candidates (26.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.9b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
23.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series766.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt x)
202.0ms	(cbrt x)
199.0ms	(cbrt x)
168.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	532	1044
1	2672	853
2	5001	794

prune649.0ms

Filtered

122 candidates to 92 candidates (24.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	1	4	5
Picked	1	0	1
Done	1	0	1
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
8.5b	(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
8.5b	(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
8.5b	(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
11×	`add-cube-cbrt`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `flip3--` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt x)
6.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
7.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
6.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt x)
370.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
372.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))
377.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (- y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	236	777
1	643	726
2	2575	697
3	5001	693

prune453.0ms

Filtered

83 candidates to 75 candidates (9.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
24.0b	(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
24.0b	(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
24.0b	(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
42×	`times-frac`
37×	`*-un-lft-identity`
36×	`associate-r`
25×	`add-exp-log`
23×	`add-cube-cbrt`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
11×	`associate-l`
9×	`cbrt-div`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`frac-times` `associate-r/` `associate-l/` `associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 113

Calls

4 calls:

23.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
13.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
13.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
15.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))

series1.1s

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))
307.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
304.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))
305.0ms	(cbrt (* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z))))

simplify69.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	598	1482
1	2726	1306
2	5001	1211

prune889.0ms

Filtered

125 candidates to 101 candidates (19.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	125	7	132

Merged error: 0.0b

Counts

132 → 7

regimes375.0ms

Accuracy

36.1% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	20
1	26	20

end0.0ms

sample595.0ms

Algorithm

intervals

Results

240.0ms

8431×

body

valid

Details

sample24.0ms

simplify54.0ms

prune4.0ms

localize6.0ms

rewrite31.0ms

series188.0ms

simplify37.0ms

prune218.0ms

localize10.0ms

rewrite30.0ms

series766.0ms

simplify62.0ms

prune649.0ms

localize18.0ms

rewrite22.0ms

series1.3s

simplify73.0ms

prune453.0ms

localize16.0ms

rewrite68.0ms

series1.1s

simplify69.0ms

prune889.0ms

regimes375.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample595.0ms

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