Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

284×

body

valid

simplify74.0ms

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: 0.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.3b	(* y (/ (- z t) (- a t)))

rewrite45.0ms

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:

12.0ms	(/ (- z t) (- a t))
28.0ms	(* y (/ (- z t) (- a t)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- z t) (- a t))
79.0ms	(* y (/ (- z t) (- a t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

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

prune307.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-sqr-sqrt` `cbrt-div`
15×	`cbrt-prod` `*-un-lft-identity`
14×	`add-cbrt-cube`
13×	`associate-r`
9×	`add-cube-cbrt` `flip3--` `prod-exp` `flip--` `cbrt-unprod`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
2×	`times-frac` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
52.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

series747.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (- z t))
178.0ms	(cbrt (- z t))
178.0ms	(cbrt (- z t))
204.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	530	989
1	1994	866
2	5002	823

prune408.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
1.3b	(* y (* (- z t) (/ 1 (- a t))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 125

Calls

3 calls:

5.0ms	(/ 1 (- a t))
24.0ms	(* (- z t) (/ 1 (- a t)))
25.0ms	(* y (* (- z t) (/ 1 (- a t))))

series165.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- a t))
55.0ms	(* (- z t) (/ 1 (- a t)))
74.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify52.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	391	700
1	1784	591
2	5003	549

prune298.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
1.3b	(* y (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac`
142×	`associate-r`
129×	`add-sqr-sqrt`
115×	`*-un-lft-identity`
104×	`cbrt-div`
102×	`cbrt-prod`
66×	`associate-/r/`
59×	`add-cube-cbrt`
52×	`flip3--` `flip--`
32×	`frac-times`
28×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log`
17×	`associate-*r/`
16×	`associate-*l/`
13×	`add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 221

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
85.0ms	(* y (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- a t))
153.0ms	(cbrt (- a t))
156.0ms	(cbrt (- a t))
71.0ms	(* y (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))

simplify48.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1101	2606
1	5002	2469

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes237.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample719.0ms

Algorithm

intervals

Results

457.0ms	8744×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid