Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

273×

body

valid

simplify50.0ms

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: 11.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
11.9b	(/ (* 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:

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

series183.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (- z t))
78.0ms	(+ x (/ (* y (- z t)) (- a t)))
67.0ms	(/ (* y (- z t)) (- a t))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

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

prune149.0ms

Filtered

76 candidates to 52 candidates (68.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.9b	(/ y (/ (- a t) (- z t)))

rewrite66.0ms

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:

32.0ms	(+ x (/ y (/ (- a t) (- z t))))
8.0ms	(/ (- a t) (- z t))
13.0ms	(/ y (/ (- a t) (- z t)))

series327.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ x (/ y (/ (- a t) (- z t))))
49.0ms	(/ (- a t) (- z t))
160.0ms	(/ y (/ (- a t) (- z t)))

simplify85.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (60.0ms)

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

prune445.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	2	1	3
Picked	0	1	1
Done	1	0	1
Total	216	4	220

Merged error: 0b

Counts

220 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
24×	`cbrt-div`
19×	`add-cbrt-cube`
18×	`cbrt-undiv` `div-exp`
17×	`associate-/r/`
15×	`times-frac`
13×	`prod-exp` `associate-/r*` `cbrt-unprod`
12×	`flip3--` `flip--`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times`
4×	`pow1` `associate-r/` `associate-l/` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

23.0ms	(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series838.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))))
182.0ms	(cbrt y)
179.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify72.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	576	1333
1	2521	1062
2	5001	981

prune327.0ms

Filtered

103 candidates to 72 candidates (69.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 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))
1.9b	(* 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))))
8.0ms	(/ (- z t) (- a t))
14.0ms	(* y (/ (- z t) (- a t)))

series201.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (* y (/ (- z t) (- a t))))
54.0ms	(/ (- z t) (- a t))
69.0ms	(* y (/ (- z t) (- a t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

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

prune207.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

regimes111.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample574.0ms

Algorithm

intervals

Results

307.0ms	8720×	body	80	valid
0.0ms	2×	body	320	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