Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

350×

body

valid

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2576	4
12	3873	4
13	5001	4

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 4.3b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
4.9b	(/ (* y (- z x)) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-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×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

7.0ms	(* y (- z x))
5.0ms	(+ x (/ (* y (- z x)) t))
7.0ms	(/ (* y (- z x)) t)

series130.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (- z x))
42.0ms	(+ x (/ (* y (- z x)) t))
51.0ms	(/ (* y (- z x)) t)

simplify47.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune144.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	9	71

Merged error: 0.0b

Counts

71 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.2b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite33.0ms

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 t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
24.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series707.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt t)
206.0ms	(cbrt t)
195.0ms	(cbrt t)
105.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	480	918
1	2615	741
2	5001	706

prune318.0ms

Filtered

116 candidates to 88 candidates (75.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	116	9	125

Merged error: 0.0b

Counts

125 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.0b	(* y (- z x))
0.9b	(/ 1 (/ t (* y (- z x))))
4.8b	(/ t (* y (- z x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

10.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
11.0ms	(* y (- z x))
9.0ms	(/ 1 (/ t (* y (- z x))))
7.0ms	(/ t (* y (- z x)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
40.0ms	(* y (- z x))
62.0ms	(/ 1 (/ t (* y (- z x))))
40.0ms	(/ t (* y (- z x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	447	816
1	2087	669
2	5002	652

prune217.0ms

Filtered

138 candidates to 74 candidates (53.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	3	3	6
Picked	1	0	1
Done	1	1	2
Total	141	6	147

Merged error: 0.0b

Counts

147 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t y) (- z x))))
0.9b	(/ 1 (/ (/ t y) (- z x)))
6.7b	(/ (/ t y) (- z x))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

55.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
18.0ms	(/ 1 (/ (/ t y) (- z x)))
9.0ms	(/ (/ t y) (- z x))

series140.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
62.0ms	(/ 1 (/ (/ t y) (- z x)))
41.0ms	(/ (/ t y) (- z x))

simplify93.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1420	4509
1	5002	3663

prune640.0ms

Filtered

434 candidates to 204 candidates (47.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	433	1	434
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	435	5	440

Merged error: 0.0b

Counts

440 → 5

regimes149.0ms

Accuracy

44.8% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.2b

bsearch121.0ms

Steps

Iters	Range	Point
9	1.8840537196475142e-57	2.2693534937605788e-48	9.514940865806675e-56
4	-6.2319460287418814e-285	-3.314541297766746e-285	-5.768617906736879e-285
9	-6.699296304010258e-125	-5.5916509264175455e-130	-4.17948241653679e-126

Iters

Range

Point

1.8840537196475142e-57

2.2693534937605788e-48

9.514940865806675e-56

-6.2319460287418814e-285

-3.314541297766746e-285

-5.768617906736879e-285

-6.699296304010258e-125

-5.5916509264175455e-130

-4.17948241653679e-126

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	23
1	38	23

end0.0ms

sample582.0ms

Algorithm

intervals

Results

303.0ms

10737×

body

valid

Details

sample23.0ms

simplify128.0ms

prune3.0ms

localize13.0ms

rewrite21.0ms

series130.0ms

simplify47.0ms

prune144.0ms

localize11.0ms

rewrite33.0ms

series707.0ms

simplify76.0ms

prune318.0ms

localize9.0ms

rewrite42.0ms

series186.0ms

simplify66.0ms

prune217.0ms

localize9.0ms

rewrite119.0ms

series140.0ms

simplify93.0ms

prune640.0ms

regimes149.0ms

bsearch121.0ms

simplify2.0ms

end0.0ms

sample582.0ms

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