Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

272×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	21	3
3	21	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: 2.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

2.6b	(/ x (- y (* z t)))

rewrite9.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

8.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify129.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	135	194
1	424	180
2	1338	179
3	4401	178
4	5001	178

prune95.0ms

Filtered

34 candidates to 27 candidates (79.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	8	35

Merged error: 2.6b

Counts

35 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ 1 (/ (- y (* z t)) x))
2.6b	(/ (- y (* z t)) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `inv-pow`

Counts

2 → 110

Calls

2 calls:

7.0ms	(/ 1 (/ (- y (* z t)) x))
9.0ms	(/ (- y (* z t)) x)

series158.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(/ 1 (/ (- y (* z t)) x))
45.0ms	(/ (- y (* z t)) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	379	897
1	1683	799
2	5001	724

prune173.0ms

Filtered

116 candidates to 63 candidates (54.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	116	8	124

Merged error: 2.5b

Counts

124 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ 1 (* (- y (* z t)) (/ 1 x)))
2.8b	(* (- y (* z t)) (/ 1 x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`div-exp`
16×	`prod-exp` `add-cbrt-cube`
14×	`times-frac`
13×	`-un-lft-identity` `associate-r*`
12×	`add-cube-cbrt`
9×	`rec-exp` `1-exp`
7×	`pow1`
6×	`associate-/r/`
5×	`cbrt-undiv`
4×	`frac-times` `flip3--` `associate-*l/` `flip--` `cbrt-unprod`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `pow-flip` `associate-*r/` `pow-prod-down` `un-div-inv` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `inv-pow`

Counts

2 → 88

Calls

2 calls:

9.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
9.0ms	(* (- y (* z t)) (/ 1 x))

series156.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(/ 1 (* (- y (* z t)) (/ 1 x)))
48.0ms	(* (- y (* z t)) (/ 1 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	370	561
1	1728	442
2	5001	416

prune148.0ms

Filtered

94 candidates to 51 candidates (54.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	94	8	102

Merged error: 2.5b

Counts

102 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.4b	(/ (cbrt x) (- y (* z t)))
1.5b	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`cbrt-prod`
24×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr`
2×	`flip3--` `pow1/3` `flip--` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(/ (cbrt x) (- y (* z t)))
15.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

series580.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt x)
196.0ms	(cbrt x)
124.0ms	(/ (cbrt x) (- y (* z t)))
69.0ms	(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	387	965
1	1998	829
2	5002	795

prune333.0ms

Filtered

130 candidates to 106 candidates (81.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	129	9	138

Merged error: 2.5b

Counts

138 → 9

regimes264.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample447.0ms

Algorithm

intervals

Results

237.0ms

8417×

body

valid