Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

274×

body

valid

simplify46.0ms

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

prune2.0ms

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: 12.9b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

12.6b

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-/r*`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `flip3--` `associate-*r/` `div-exp` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

9.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	204	178
1	834	151
2	4013	151
3	5001	151

prune74.0ms

Filtered

32 candidates to 23 candidates (71.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	5	33

Merged error: 0.0b

Counts

33 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.7b	(* y (/ (- z t) (- a t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

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

series115.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- z t) (- a t))
65.0ms	(* y (/ (- z t) (- a t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5002	606

prune190.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.7b	(/ y (/ (- a t) (- z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

11.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series194.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- a t) (- z t))
144.0ms	(/ y (/ (- a t) (- z t)))

simplify72.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	633	1784
1	2862	1733
2	5001	1730

prune385.0ms

Filtered

200 candidates to 134 candidates (67.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	200	5	205

Merged error: 0b

Counts

205 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.7b	(* y (* (- z t) (/ 1 (- a t))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 119

Calls

3 calls:

5.0ms	(/ 1 (- a t))
13.0ms	(* (- z t) (/ 1 (- a t)))
12.0ms	(* y (* (- z t) (/ 1 (- a t))))

series148.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- a t))
50.0ms	(* (- z t) (/ 1 (- a t)))
65.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify46.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	381	671
1	1768	562
2	5001	520

prune182.0ms

Filtered

128 candidates to 74 candidates (57.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	128	5	133

Merged error: 0b

Counts

133 → 5

Details

sample26.0ms

simplify46.0ms

prune2.0ms

localize8.0ms

rewrite10.0ms

series66.0ms

simplify83.0ms

prune74.0ms

localize8.0ms

rewrite25.0ms

series115.0ms

simplify41.0ms

prune190.0ms

localize8.0ms

rewrite34.0ms

series194.0ms

simplify72.0ms

prune385.0ms

localize9.0ms

rewrite34.0ms

series148.0ms

simplify46.0ms

prune182.0ms

regimes130.0ms

bsearch2.0ms

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

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