Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

276×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

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: 11.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
11.2b	(/ (* 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:

7.0ms	(+ x (/ (* y (- z t)) (- a t)))
6.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- a t))

series171.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* y (- z t)) (- a t)))
34.0ms	(* y (- z t))
64.0ms	(/ (* y (- z t)) (- a t))

simplify44.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (10.0ms)

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

prune153.0ms

Filtered

76 candidates to 52 candidates (68.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.1b	(/ y (/ (- a t) (- z t)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

30.0ms	(+ x (/ y (/ (- a t) (- z t))))
8.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ x (/ y (/ (- a t) (- z t))))
45.0ms	(/ (- a t) (- z t))
143.0ms	(/ y (/ (- a t) (- z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5002	1832

prune422.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	215	7	222

Merged error: 0b

Counts

222 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.1b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

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) (- a t))))
8.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (* y (/ (- z t) (- a t))))
47.0ms	(/ (- z t) (- a t))
63.0ms	(* y (/ (- z t) (- a t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune216.0ms

Filtered

122 candidates to 81 candidates (66.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Merged error: 0b

Counts

129 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
2.1b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
8.0ms	(/ (- a t) (- z t))
12.0ms	(/ 1 (/ (- a t) (- z t)))
35.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
43.0ms	(/ (- a t) (- z t))
131.0ms	(/ 1 (/ (- a t) (- z t)))
145.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify115.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	950	2838
1	4789	2549
2	5002	2263

prune524.0ms

Filtered

350 candidates to 183 candidates (52.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	350	7	357

Merged error: 0b

Counts

357 → 7

regimes165.0ms

Accuracy

45.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.3b

bsearch60.0ms

Steps

Iters	Range		Point
8	5.5314836320008005e-244	2.882106368821281e-240	1.7945065782995238e-242
6	-2416.012398067356	-167.5179046238358	-171.3888645477059

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample534.0ms

Algorithm

intervals

Results

273.0ms	8729×	body	80	valid
0.0ms	1×	body	640	valid

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5