Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

328×

body

valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.2b	(* (- y x) (/ z t))

rewrite19.0ms

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:

2.0ms	(+ x (* (- y x) (/ z t)))
15.0ms	(* (- y x) (/ z t))

series80.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
46.0ms	(* (- y x) (/ z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (35.0ms)

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

prune126.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.2b	(* (- y x) (/ z t))
6.3b	(cbrt (* (- y x) (/ z t)))
6.3b	(cbrt (* (- y x) (/ z t)))
6.3b	(cbrt (* (- y x) (/ z t)))

rewrite32.0ms

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:

15.0ms	(* (- y x) (/ z t))
5.0ms	(cbrt (* (- y x) (/ z t)))
5.0ms	(cbrt (* (- y x) (/ z t)))
5.0ms	(cbrt (* (- y x) (/ z t)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- y x) (/ z t))
143.0ms	(cbrt (* (- y x) (/ z t)))
136.0ms	(cbrt (* (- y x) (/ z t)))
142.0ms	(cbrt (* (- y x) (/ z t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

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

prune341.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.2b	(* (- y x) (/ z t))
6.3b	(cbrt (* (- y x) (/ z t)))
6.3b	(cbrt (* (- y x) (/ z t)))
10.3b	(cbrt (/ z t))

rewrite32.0ms

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:

18.0ms	(* (- y x) (/ z t))
5.0ms	(cbrt (* (- y x) (/ z t)))
5.0ms	(cbrt (* (- y x) (/ z t)))
2.0ms	(cbrt (/ z t))

series399.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- y x) (/ z t))
138.0ms	(cbrt (* (- y x) (/ z t)))
151.0ms	(cbrt (* (- y x) (/ z t)))
62.0ms	(cbrt (/ z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (41.0ms)

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

prune418.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

6.2b	(* (- y x) (/ z t))
6.3b	(cbrt (* (- y x) (/ z t)))
6.3b	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
10.3b	(cbrt (/ z t))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt` `times-frac`
17×	`cbrt-div`
15×	`cbrt-prod`
13×	`frac-times` `associate-r` `associate-*l/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1`
5×	`associate-r/` `associate-l*`
4×	`add-log-exp`
3×	`pow1/3`
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 → 94

Calls

4 calls:

14.0ms	(* (- y x) (/ z t))
5.0ms	(cbrt (* (- y x) (/ z t)))
79.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
2.0ms	(cbrt (/ z t))

series384.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- y x) (/ z t))
134.0ms	(cbrt (* (- y x) (/ z t)))
141.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
65.0ms	(cbrt (/ z t))

simplify55.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	535	937
1	1999	866
2	5003	833

prune557.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

1.5% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch92.0ms

Steps

Iters	Range		Point
9	4.021451897487416e-109	2.541176406930875e-101	3.875447839888438e-103
9	-1.2400564157334574e-103	-5.067023700918943e-110	-6.348928366600757e-104

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms

sample796.0ms

Algorithm

intervals

Results

529.0ms

10744×

body

valid