Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

287×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.6b	(* y (/ (- z t) (- a t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

16.0ms	(/ (- z t) (- a t))
25.0ms	(* y (/ (- z t) (- a t)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- z t) (- a t))
74.0ms	(* y (/ (- z t) (- a t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	356	664
1	1414	623
2	5001	623

prune316.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
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 → 150

Calls

4 calls:

50.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
6.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

200.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
360.0ms	(cbrt (/ (- z t) (- a t)))
333.0ms	(cbrt (/ (- z t) (- a t)))
364.0ms	(cbrt (/ (- z t) (- a t)))

simplify130.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	462	1675
1	1128	1602
2	4083	1588
3	5001	1579

prune637.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) 1))
1.6b	(cbrt (/ (cbrt (- z t)) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

140×	`cbrt-prod`
113×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`times-frac`
47×	`add-cube-cbrt`
33×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`

Counts

4 → 159

Calls

4 calls:

10.0ms	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) 1))
7.0ms	(cbrt (/ (cbrt (- z t)) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) 1))
433.0ms	(cbrt (/ (cbrt (- z t)) (- a t)))
366.0ms	(cbrt (/ (- z t) (- a t)))
357.0ms	(cbrt (/ (- z t) (- a t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	591	1832
1	1540	1785
2	5001	1758

prune880.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
9.5b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
28×	`associate-*l/`
26×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 140

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
127.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (- z t))
166.0ms	(cbrt (- z t))
165.0ms	(cbrt (- z t))
75.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

simplify104.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	671	1614
1	3192	1462
2	5002	1399

prune526.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes353.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample548.0ms

Algorithm

intervals

Results

282.0ms	8736×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid