Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

282×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

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: 2.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
3.3b	(* y (/ (- z t) (- z a)))

rewrite28.0ms

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:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series56.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ x (* y (/ (- z t) (- z a))))
9.0ms	(/ (- z t) (- z a))
17.0ms	(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune155.0ms

Filtered

122 candidates to 83 candidates (32.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	10	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Merged error: 0.0b

Counts

123 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))

series111.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
26.0ms	(cbrt (- z t))
26.0ms	(cbrt (- z t))
28.0ms	(cbrt (- z t))

simplify120.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	288	793
1	872	756
2	3997	674
3	5001	652

prune151.0ms

Filtered

113 candidates to 78 candidates (31.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Merged error: 0b

Counts

123 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ t (- z a))
0.0b	(/ z (- z a))
3.3b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

26.0ms	(- (/ z (- z a)) (/ t (- z a)))
5.0ms	(/ t (- z a))
5.0ms	(/ z (- z a))
33.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series63.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (/ z (- z a)) (/ t (- z a)))
7.0ms	(/ t (- z a))
5.0ms	(/ z (- z a))
33.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify46.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	429	888
1	1588	838
2	5001	838

prune149.0ms

Filtered

156 candidates to 110 candidates (29.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	159	7	166

Merged error: 0b

Counts

166 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ x (* (/ y (- z a)) (- z t)))
9.1b	(* (/ y (- z a)) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ y (- z a))
3.0ms	(+ x (* (/ y (- z a)) (- z t)))
12.0ms	(* (/ y (- z a)) (- z t))

series59.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ y (- z a))
27.0ms	(+ x (* (/ y (- z a)) (- z t)))
24.0ms	(* (/ y (- z a)) (- z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	416	613
1	1659	573
2	5001	573

prune89.0ms

Filtered

111 candidates to 79 candidates (28.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	112	6	118

Merged error: 0b

Counts

118 → 6

regimes388.0ms

Accuracy

22.4% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.9b

bsearch10.0ms

Steps

Iters	Range		Point
4	4.589632901710952e-306	7.937681199941985e-306	7.241649250832841e-306

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms

sample790.0ms

Algorithm

intervals

Results

299.0ms

8748×

body

valid

Details

sample33.0ms

simplify50.0ms

prune4.0ms

localize8.0ms

rewrite28.0ms

series56.0ms

simplify50.0ms

prune155.0ms

localize16.0ms

rewrite23.0ms

series111.0ms

simplify120.0ms

prune151.0ms

localize9.0ms

rewrite76.0ms

series63.0ms

simplify46.0ms

prune149.0ms

localize8.0ms

rewrite23.0ms

series59.0ms

simplify43.0ms

prune89.0ms

regimes388.0ms

bsearch10.0ms

simplify1.0ms

end0.0ms

sample790.0ms

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