Details

sample32.0ms

Algorithm

intervals

Results

10.0ms

281×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 12.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
13.4b	(/ (* y (- z t)) (- a t))

rewrite23.0ms

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

series53.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (/ (* y (- z t)) (- a t)))
7.0ms	(* y (- z t))
17.0ms	(/ (* y (- z t)) (- a t))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

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

prune90.0ms

Filtered

76 candidates to 52 candidates (31.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

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)))

rewrite30.0ms

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))))
7.0ms	(/ (- z t) (- a t))
15.0ms	(* y (/ (- z t) (- a t)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* y (/ (- z t) (- a t))))
10.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

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

prune105.0ms

Filtered

122 candidates to 82 candidates (32.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	121	5	126

Merged error: 0b

Counts

126 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.2b	(/ y (/ (- a t) (- z t)))

rewrite57.0ms

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:

26.0ms	(+ x (/ y (/ (- a t) (- z t))))
7.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series73.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (/ y (/ (- a t) (- z t))))
9.0ms	(/ (- a t) (- z t))
30.0ms	(/ y (/ (- a t) (- z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5001	1832

prune158.0ms

Filtered

215 candidates to 144 candidates (33.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	215	5	220

Merged error: 0b

Counts

220 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.2b	(pow (/ (- z t) (- a t)) 3)
2.1b	(* y (cbrt (pow (/ (- z t) (- a t)) 3)))
19.5b	(cbrt (pow (/ (- z t) (- a t)) 3))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

246×	`add-sqr-sqrt`
231×	`*-un-lft-identity`
177×	`times-frac`
142×	`cbrt-prod`
95×	`unpow-prod-down` `cube-prod`
87×	`add-cube-cbrt`
72×	`distribute-lft-out--` `difference-of-squares`
71×	`associate-r`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`flip3--` `flip--`
7×	`pow1` `div-inv` `unswap-sqr`
5×	`associate-/r` `associate-/l`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 305

Calls

4 calls:

8.0ms	(/ (- z t) (- a t))
10.0ms	(pow (/ (- z t) (- a t)) 3)
26.0ms	(* y (cbrt (pow (/ (- z t) (- a t)) 3)))
12.0ms	(cbrt (pow (/ (- z t) (- a t)) 3))

series62.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- z t) (- a t))
26.0ms	(pow (/ (- z t) (- a t)) 3)
17.0ms	(* y (cbrt (pow (/ (- z t) (- a t)) 3)))
10.0ms	(cbrt (pow (/ (- z t) (- a t)) 3))

simplify99.0ms

Algorithm

egg-herbie

Counts

317 → 317

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	719	2293
1	3238	2165
2	5001	2138

prune209.0ms

Filtered

317 candidates to 139 candidates (56.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	317	0	317
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	317	5	322

Merged error: 0b

Counts

322 → 5

regimes344.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample787.0ms

Algorithm

intervals

Results

307.0ms	8732×	body	80	valid
0.0ms	2×	body	160	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

Details

sample32.0ms

simplify43.0ms

prune4.0ms

localize8.0ms

rewrite23.0ms

series53.0ms

simplify40.0ms

prune90.0ms

localize8.0ms

rewrite30.0ms

series53.0ms

simplify49.0ms

prune105.0ms

localize11.0ms

rewrite57.0ms

series73.0ms

simplify79.0ms

prune158.0ms

localize14.0ms

rewrite77.0ms

series62.0ms

simplify99.0ms

prune209.0ms

regimes344.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample787.0ms

Profiling

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