Details

sample30.0ms

Algorithm

intervals

Results

10.0ms

348×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2024	4
11	3276	4
12	5001	4

prune7.0ms

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: 2.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.4b	(* (- y x) (/ z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series24.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune82.0ms

Filtered

55 candidates to 39 candidates (29.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (- y x) (/ z t))
7.9b	(cbrt (* (- y x) (/ z t)))
7.9b	(cbrt (* (- y x) (/ z t)))
7.9b	(cbrt (* (- y x) (/ z t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (- y x) (/ z t))
6.0ms	(cbrt (* (- y x) (/ z t)))
6.0ms	(cbrt (* (- y x) (/ z t)))
6.0ms	(cbrt (* (- y x) (/ z t)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (- y x) (/ z t))
38.0ms	(cbrt (* (- y x) (/ z t)))
38.0ms	(cbrt (* (- y x) (/ z t)))
40.0ms	(cbrt (* (- y x) (/ z t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	381	689
1	1522	641
2	5002	629

prune130.0ms

Filtered

92 candidates to 77 candidates (16.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(* (cbrt t) (cbrt t))
5.4b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
33×	`cbrt-prod`
31×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-cube-cbrt`
28×	`associate-r`
27×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-l`
13×	`pow1`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
5.0ms	(* (cbrt t) (cbrt t))
16.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
22.0ms	(cbrt t)
25.0ms	(* (cbrt t) (cbrt t))
19.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	551	1002
1	2754	881
2	5002	809

prune124.0ms

Filtered

135 candidates to 90 candidates (33.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	134	8	142

Merged error: 0.0b

Counts

142 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt (* (cbrt t) (cbrt t)))
0.6b	(cbrt (cbrt t))
5.4b	(* (/ (/ (- y x) (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ z (cbrt (cbrt t))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
122×	`times-frac`
85×	`cbrt-prod`
59×	`*-un-lft-identity`
51×	`add-cube-cbrt`
46×	`associate-l`
38×	`add-exp-log`
37×	`associate-r`
24×	`unswap-sqr`
22×	`add-cbrt-cube`
14×	`cbrt-undiv` `div-exp`
13×	`pow1`
11×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
6×	`swap-sqr` `div-inv`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/`

Counts

4 → 182

Calls

4 calls:

5.0ms	(* (cbrt t) (cbrt t))
4.0ms	(cbrt (* (cbrt t) (cbrt t)))
1.0ms	(cbrt (cbrt t))
34.0ms	(* (/ (/ (- y x) (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ z (cbrt (cbrt t))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt t) (cbrt t))
38.0ms	(cbrt (* (cbrt t) (cbrt t)))
31.0ms	(cbrt (cbrt t))
19.0ms	(* (/ (/ (- y x) (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ z (cbrt (cbrt t))))

simplify111.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	988	2583
1	4432	2399
2	5001	2323

prune156.0ms

Filtered

194 candidates to 138 candidates (28.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	194	8	202

Merged error: 0.0b

Counts

202 → 8

regimes576.0ms

Accuracy

-3.7% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.8b

bsearch97.0ms

Steps

Iters	Range		Point
7	7.92604745128889e-162	2.673753943981043e-160	2.3622199036016316e-160
7	9.051648511196369e-176	5.403620131076607e-174	8.279981265267956e-175
8	2.5871102612801087e-247	1.9355220468424437e-244	5.971145013023773e-245
10	-4.1959326086381225e-263	-6.6023606691293894e-273	-2.5031652597621486e-269
9	-2.1730226677752848e-91	-3.515271702002108e-97	-2.0575529321412997e-91

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	40
1	46	40

end0.0ms

sample806.0ms

Algorithm

intervals

Results

323.0ms

10667×

body

valid

Details

sample30.0ms

simplify100.0ms

prune7.0ms

localize7.0ms

rewrite13.0ms

series24.0ms

simplify38.0ms

prune82.0ms

localize11.0ms

rewrite30.0ms

series129.0ms

simplify46.0ms

prune130.0ms

localize10.0ms

rewrite28.0ms

series88.0ms

simplify76.0ms

prune124.0ms

localize15.0ms

rewrite56.0ms

series113.0ms

simplify111.0ms

prune156.0ms

regimes576.0ms

bsearch97.0ms

simplify2.0ms

end0.0ms

sample806.0ms

Profiling