Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

342×

body

valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.4b	(* (- y x) (/ z t))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

10.0ms	(+ x (* (- y x) (/ z t)))
29.0ms	(* (- y x) (/ z t))

series72.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ x (* (- y x) (/ z t)))
39.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune128.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.3b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
59.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series606.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt t)
177.0ms	(cbrt t)
179.0ms	(cbrt t)
73.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	455	821
1	2233	666
2	5002	631

prune311.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

6.4b	(* (- y x) (/ z t))
7.2b	(cbrt (* (- y x) (/ z t)))
7.2b	(cbrt (* (- y x) (/ z t)))
7.2b	(cbrt (* (- y x) (/ z t)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

31.0ms	(* (- y x) (/ z t))
10.0ms	(cbrt (* (- y x) (/ z t)))
10.0ms	(cbrt (* (- y x) (/ z t)))
10.0ms	(cbrt (* (- y x) (/ z t)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (- y x) (/ z t))
133.0ms	(cbrt (* (- y x) (/ z t)))
130.0ms	(cbrt (* (- y x) (/ z t)))
135.0ms	(cbrt (* (- y x) (/ z t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	375	683
1	1475	635
2	5002	623

prune336.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.4b	(* (- y x) (/ z t))
7.2b	(cbrt (* (- y x) (/ z t)))
7.2b	(cbrt (* (- y x) (/ z t)))
11.7b	(cbrt (/ z t))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt` `times-frac`
15×	`cbrt-prod`
13×	`associate-r`
11×	`cbrt-div`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `frac-times` `flip3--` `associate-*l/` `flip--`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3` `associate-*r/`
2×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

31.0ms	(* (- y x) (/ z t))
10.0ms	(cbrt (* (- y x) (/ z t)))
11.0ms	(cbrt (* (- y x) (/ z t)))
2.0ms	(cbrt (/ z t))

series560.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (- y x) (/ z t))
129.0ms	(cbrt (* (- y x) (/ z t)))
333.0ms	(cbrt (* (- y x) (/ z t)))
59.0ms	(cbrt (/ z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	424	669
1	1565	618
2	5001	606

prune394.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes202.0ms

Accuracy

-24.6% (2.4b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.0b

bsearch84.0ms

Steps

Iters	Range		Point
10	3.3499961860968546e-228	1.6411377633301706e-217	1.625406329571912e-217
9	-9.263934665448618e+36	-7.240358383921074e+28	-3.365964330149153e+34

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	14
1	32	14

end0.0ms

sample619.0ms

Algorithm

intervals

Results

253.0ms

10624×

body

valid