Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

267×

body

valid

simplify9.0ms

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: 3.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z t))
3.7b	(/ x (- y (* z t)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `prod-diff` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- y (* z t))
42.0ms	(/ x (- y (* z t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	180	288
1	538	261
2	1859	260
3	5001	245

prune138.0ms

Filtered

57 candidates to 44 candidates (77.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	8	58

Merged error: 3.5b

Counts

58 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

3.7b	(/ (- x) (fma t z (- y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
4×	`neg-mul-1`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
1×	`pow1` `cbrt-undiv` `neg-sub0` `expm1-log1p-u` `frac-2neg` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 59

Calls

1 calls:

5.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	181	470
1	581	454
2	1592	451
3	5001	450

prune143.0ms

Filtered

62 candidates to 48 candidates (77.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Merged error: 3.5b

Counts

70 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.2b	(/ 1 (- y (* z t)))
3.7b	(* x (/ 1 (- y (* z t))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `associate-l` `prod-diff` `associate-/r` `flip--` `log1p-expm1-u` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 95

Calls

3 calls:

3.0ms	(- y (* z t))
5.0ms	(/ 1 (- y (* z t)))
9.0ms	(* x (/ 1 (- y (* z t))))

series128.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- y (* z t))
52.0ms	(/ 1 (- y (* z t)))
42.0ms	(* x (/ 1 (- y (* z t))))

simplify93.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	289	533
1	1133	461
2	4086	427
3	5001	424

prune172.0ms

Filtered

104 candidates to 65 candidates (62.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	105	7	112

Merged error: 3.5b

Counts

112 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
7.7b	(cbrt (/ 1 (- y (* z t))))
7.7b	(cbrt (/ 1 (- y (* z t))))
7.7b	(cbrt (/ 1 (- y (* z t))))

rewrite32.0ms

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×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `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 → 102

Calls

4 calls:

13.0ms	(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
4.0ms	(cbrt (/ 1 (- y (* z t))))
4.0ms	(cbrt (/ 1 (- y (* z t))))
4.0ms	(cbrt (/ 1 (- y (* z t))))

series564.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
132.0ms	(cbrt (/ 1 (- y (* z t))))
125.0ms	(cbrt (/ 1 (- y (* z t))))
131.0ms	(cbrt (/ 1 (- y (* z t))))

simplify117.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	375	1107
1	1060	1031
2	3863	992
3	5001	923

prune265.0ms

Filtered

114 candidates to 76 candidates (66.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Merged error: 3.5b

Counts

121 → 8

regimes308.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample403.0ms

Algorithm

intervals

Results

195.0ms

8386×

body

valid