Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

262×

body

valid

simplify8.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- y (* z t))
3.4b	(/ x (- y (* z t)))

rewrite16.0ms

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:

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- y (* z t))
43.0ms	(/ x (- y (* z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (52.0ms)

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

prune139.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* z t))
0.6b	(/ 1 (- y (* z t)))
3.0b	(* x (/ 1 (- y (* z t))))

rewrite47.0ms

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:

6.0ms	(- y (* z t))
10.0ms	(/ 1 (- y (* z t)))
25.0ms	(* x (/ 1 (- y (* z t))))

series125.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- y (* z t))
49.0ms	(/ 1 (- y (* z t)))
40.0ms	(* x (/ 1 (- y (* z t))))

simplify83.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 3 (76.0ms)

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

prune204.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
8.9b	(cbrt (- y (* z t)))
8.9b	(cbrt (- y (* z t)))
8.9b	(cbrt (- y (* z t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

16.0ms	(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
3.0ms	(cbrt (- y (* z t)))
3.0ms	(cbrt (- y (* z t)))
3.0ms	(cbrt (- y (* z t)))

series579.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
135.0ms	(cbrt (- y (* z t)))
131.0ms	(cbrt (- y (* z t)))
128.0ms	(cbrt (- y (* z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	337	764
1	907	707
2	3136	690
3	5002	681

prune326.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (- y (* z t)))
8.2b	(cbrt (/ 1 (- y (* z t))))
8.2b	(cbrt (/ 1 (- y (* z t))))
8.2b	(cbrt (/ 1 (- y (* z t))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log` `associate-/r/`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r` `associate-/l`
2×	`div-exp`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `inv-pow`

Counts

4 → 113

Calls

4 calls:

10.0ms	(/ 1 (- y (* z t)))
5.0ms	(cbrt (/ 1 (- y (* z t))))
5.0ms	(cbrt (/ 1 (- y (* z t))))
5.0ms	(cbrt (/ 1 (- y (* z t))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ 1 (- y (* z t)))
134.0ms	(cbrt (/ 1 (- y (* z t))))
128.0ms	(cbrt (/ 1 (- y (* z t))))
131.0ms	(cbrt (/ 1 (- y (* z t))))

simplify113.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	265	1003
1	837	934
2	3582	857
3	5002	850

prune316.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.3b

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample480.0ms

Algorithm

intervals

Results

183.0ms

8352×

body

valid