Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

267×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	30	4
2	65	4
3	156	4
4	302	4
5	470	4
6	865	4
7	1243	4
8	1545	4
9	1705	4
10	1705	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
9.0b	(/ x (* (- y z) (- t z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

20.0ms	(* (- y z) (- t z))
7.0ms	(/ x (* (- y z) (- t z)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y z) (- t z))
117.0ms	(/ x (* (- y z) (- t z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	300	403
1	1371	359
2	5001	355

prune150.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- y z))
1.7b	(* (/ 1 (- y z)) (/ x (- t z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
52×	`*-un-lft-identity` `times-frac`
30×	`add-cube-cbrt`
28×	`add-exp-log`
21×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
10×	`div-exp` `distribute-lft-out--` `difference-of-squares`
8×	`prod-exp`
6×	`associate-/r/` `unswap-sqr`
5×	`pow1` `cbrt-undiv` `associate-/r*`
4×	`cbrt-unprod`
3×	`rec-exp` `flip3--` `1-exp` `flip--` `div-inv` `associate-/l*`
2×	`add-log-exp`
1×	`frac-times` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

2 → 113

Calls

2 calls:

5.0ms	(/ 1 (- y z))
32.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

series241.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (- y z))
208.0ms	(* (/ 1 (- y z)) (/ x (- t z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	488	721
1	2116	620
2	5001	580

prune213.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (/ 1 (- y z)) (/ x (- t z)))
24.0b	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
24.0b	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
24.0b	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
37×	`times-frac`
36×	`*-un-lft-identity`
26×	`add-exp-log`
22×	`add-cube-cbrt`
21×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
9×	`cbrt-div`
8×	`div-exp` `prod-exp`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`cbrt-undiv` `frac-times` `associate-r/` `associate-l/` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 108

Calls

4 calls:

34.0ms	(* (/ 1 (- y z)) (/ x (- t z)))
9.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
8.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
8.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

series2.0s

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (/ 1 (- y z)) (/ x (- t z)))
586.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
599.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
586.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	575	993
1	2392	874
2	5001	855

prune363.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (/ 1 (- y z)) (/ x (- t z)))
13.5b	(cbrt (/ x (- t z)))
24.0b	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
24.0b	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
52×	`times-frac`
51×	`*-un-lft-identity`
31×	`add-cube-cbrt`
26×	`add-exp-log`
23×	`cbrt-prod`
21×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`div-exp` `prod-exp`
7×	`cbrt-div`
6×	`pow1` `associate-/r/` `unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod` `add-log-exp`
3×	`frac-times` `flip3--` `pow1/3` `associate-r/` `associate-l/` `flip--` `div-inv`
2×	`rec-exp` `1-exp`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 126

Calls

4 calls:

32.0ms	(* (/ 1 (- y z)) (/ x (- t z)))
3.0ms	(cbrt (/ x (- t z)))
11.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
9.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

series1.6s

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (/ 1 (- y z)) (/ x (- t z)))
165.0ms	(cbrt (/ x (- t z)))
596.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
602.0ms	(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

simplify61.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	665	1098
1	2583	985
2	5001	964

prune570.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes207.0ms

Accuracy

10.6% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.3b

bsearch64.0ms

Steps

Iters	Range		Point
8	1.1153785941723318e-233	2.248873935831e-229	5.028956619750263e-230
9	-4.9356193294537816e-111	-1.4236932931255447e-118	-6.22342701453448e-113

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

end0.0ms

sample432.0ms

Algorithm

intervals

Results

210.0ms

8461×

body

valid