Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

265×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	17	3

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: 4.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

4.0b	(/ x (- y (* z t)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

4.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify116.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	132	186
1	418	172
2	1300	172
3	4181	171
4	5002	171

prune67.0ms

Filtered

32 candidates to 25 candidates (78.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 4.0b

Counts

33 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (- y (* z t)))
3.8b	(* x (/ 1 (- y (* z t))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 71

Calls

2 calls:

4.0ms	(/ 1 (- y (* z t)))
8.0ms	(* x (/ 1 (- y (* z t))))

series77.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ 1 (- y (* z t)))
32.0ms	(* x (/ 1 (- y (* z t))))

simplify64.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	239	421
1	1015	363
2	3683	333
3	5001	333

prune99.0ms

Filtered

77 candidates to 43 candidates (55.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	76	6	82

Merged error: 4.0b

Counts

82 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ x (- y (* z t)))
17.6b	(cbrt (/ x (- y (* z t))))
17.6b	(cbrt (/ x (- y (* z t))))
17.6b	(cbrt (/ x (- y (* z t))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 101

Calls

4 calls:

8.0ms	(/ x (- y (* z t)))
6.0ms	(cbrt (/ x (- y (* z t))))
7.0ms	(cbrt (/ x (- y (* z t))))
6.0ms	(cbrt (/ x (- y (* z t))))

series349.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ x (- y (* z t)))
90.0ms	(cbrt (/ x (- y (* z t))))
90.0ms	(cbrt (/ x (- y (* z t))))
134.0ms	(cbrt (/ x (- y (* z t))))

simplify55.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	226	918
1	630	877
2	1872	871
3	5001	856

prune317.0ms

Filtered

113 candidates to 97 candidates (85.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	112	7	119

Merged error: 4.0b

Counts

119 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.1b	(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
9.6b	(cbrt (/ 1 (- y (* z t))))
9.6b	(cbrt (/ 1 (- y (* z t))))
9.6b	(cbrt (/ 1 (- y (* z t))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

12.0ms	(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
3.0ms	(cbrt (/ 1 (- y (* z t))))
4.0ms	(cbrt (/ 1 (- y (* z t))))
4.0ms	(cbrt (/ 1 (- y (* z t))))

series458.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
111.0ms	(cbrt (/ 1 (- y (* z t))))
108.0ms	(cbrt (/ 1 (- y (* z t))))
110.0ms	(cbrt (/ 1 (- y (* z t))))

simplify94.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	362	1059
1	1005	988
2	3636	947
3	5001	887

prune202.0ms

Filtered

106 candidates to 68 candidates (64.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	106	7	113

Merged error: 4.0b

Counts

113 → 7

regimes183.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample434.0ms

Algorithm

intervals

Results

232.0ms

8332×

body

valid