Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

286×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
9.9b	(/ (* (- y z) t) (- a z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

7.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series164.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* (- y z) t) (- a z)))
27.0ms	(* (- y z) t)
64.0ms	(/ (* (- y z) t) (- a z))

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	368
1	1401	329
2	5001	329

prune169.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
10.0b	(* (- y z) (/ t (- a z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
5.0ms	(/ t (- a z))
12.0ms	(* (- y z) (/ t (- a z)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (* (- y z) (/ t (- a z))))
30.0ms	(/ t (- a z))
60.0ms	(* (- y z) (/ t (- a z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	365	574
1	1604	535
2	5002	535

prune242.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
10.5b	(/ (- y z) (/ (- a z) t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

25.0ms	(+ x (/ (- y z) (/ (- a z) t)))
8.0ms	(/ (- a z) t)
11.0ms	(/ (- y z) (/ (- a z) t))

series191.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ x (/ (- y z) (/ (- a z) t)))
29.0ms	(/ (- a z) t)
94.0ms	(/ (- y z) (/ (- a z) t))

simplify76.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	779	1717
1	2986	1664
2	5001	1664

prune449.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ 1 (- a z)) (* (- y z) t)))
0.0b	(* (- y z) t)
0.0b	(/ 1 (- a z))
9.9b	(* (/ 1 (- a z)) (* (- y z) t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-l`
25×	`add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*l/` `cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`associate-r` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

3.0ms	(+ x (* (/ 1 (- a z)) (* (- y z) t)))
6.0ms	(* (- y z) t)
5.0ms	(/ 1 (- a z))
14.0ms	(* (/ 1 (- a z)) (* (- y z) t))

series378.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ x (* (/ 1 (- a z)) (* (- y z) t)))
27.0ms	(* (- y z) t)
38.0ms	(/ 1 (- a z))
147.0ms	(* (/ 1 (- a z)) (* (- y z) t))

simplify61.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	490	733
1	2433	632
2	5002	599

prune275.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

50.3% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.9b

bsearch62.0ms

Steps

Iters	Range		Point
7	2.4322431234743898e-139	1.0028868673529873e-137	9.460173456563461e-138
6	-6.117858652932295e+22	-4.06293573795623e+21	-1.6636206562627744e+22

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample524.0ms

Algorithm

intervals

Results

279.0ms	8704×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5