Details

sample17.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.878906%

Guaranteed chance to sample good point: 46.311576%

Results

9.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

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: 1.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.0b	(+ x (* y (/ (- z t) (- a t))))
2.3b	(* y (/ (- z t) (- a t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

10.0ms	(/ (- z t) (- a t))
3.0ms	(+ x (* y (/ (- z t) (- a t))))
14.0ms	(* y (/ (- z t) (- a t)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
27.0ms	(+ x (* y (/ (- z t) (- a t))))
16.0ms	(* y (/ (- z t) (- a t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune134.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	118	5	123

Merged error: 0b

Counts

123 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.2b	(* (- z t) (/ 1 (- a t)))
2.3b	(* y (* (- z t) (/ 1 (- a t))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`add-exp-log`
23×	`*-un-lft-identity`
22×	`associate-r`
17×	`times-frac` `add-cbrt-cube`
14×	`add-cube-cbrt`
13×	`prod-exp`
10×	`pow1`
8×	`associate-r/` `associate-l*`
7×	`cbrt-unprod`
5×	`flip3--` `flip--` `add-log-exp`
4×	`frac-times` `div-exp` `pow-prod-down` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/` `un-div-inv` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

3 → 89

Calls

3 calls:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
13.0ms	(* (- z t) (/ 1 (- a t)))
12.0ms	(* y (* (- z t) (/ 1 (- a t))))

series54.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
10.0ms	(* (- z t) (/ 1 (- a t)))
18.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify51.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	430	597
1	1897	510
2	5001	487

prune92.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
9.4b	(/ (* y (- z t)) (- a t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

6.0ms	(* y (- z t))
7.0ms	(+ x (/ (* y (- z t)) (- a t)))
8.0ms	(/ (* y (- z t)) (- a t))

series51.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
29.0ms	(+ x (/ (* y (- z t)) (- a t)))
16.0ms	(/ (* y (- z t)) (- a t))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	334	381
1	1437	342
2	5001	342

prune67.0ms

Filtered

50 candidates to 76 candidates (-52.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	76	5	81

Merged error: 0b

Counts

81 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (* (* y (- z t)) (/ 1 (- a t))))
9.5b	(* (* y (- z t)) (/ 1 (- a t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
26×	`associate-r`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
17×	`add-cbrt-cube`
15×	`times-frac`
14×	`add-cube-cbrt`
13×	`prod-exp`
10×	`pow1`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`flip3--` `div-exp` `associate-l` `pow-prod-down` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `associate-l/` `associate-/r/` `-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `un-div-inv` `flip-+` `div-inv` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

6.0ms	(* y (- z t))
3.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
13.0ms	(* (* y (- z t)) (/ 1 (- a t)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
26.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
19.0ms	(* (* y (- z t)) (/ 1 (- a t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	469	559
1	2507	478
2	5003	457

prune73.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	96	5	101

Merged error: 0b

Counts

101 → 5

regimes573.0ms

Accuracy

-3.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.4b

bsearch64.0ms

Steps

Iters	Range		Point
4	5.464047632306577e-47	7.870577553997917e-47	6.140884172782265e-47
6	-3.41971852352639e-46	-3.629761180792063e-47	-1.4811076684293724e-46

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	31	11

end0.0ms

sample18.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.878906%

Guaranteed chance to sample good point: 46.311576%

Results

301.0ms	7998×	body	80	valid
24.0ms	676×	body	80	invalid
0.0ms	2×	body	640	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Details

sample17.1s

simplify48.0ms

prune4.0ms

localize9.0ms

rewrite31.0ms

series53.0ms

simplify48.0ms

prune134.0ms

localize10.0ms

rewrite32.0ms

series54.0ms

simplify51.0ms

prune92.0ms

localize8.0ms

rewrite24.0ms

series51.0ms

simplify40.0ms

prune67.0ms

localize9.0ms

rewrite26.0ms

series52.0ms

simplify61.0ms

prune73.0ms

regimes573.0ms

bsearch64.0ms

simplify1.0ms

end0.0ms

sample18.9s

Profiling

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5