Details

sample123.0ms

Algorithm

intervals

Results

77.0ms

633×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
5.7b	(* j (- (* c t) (* i y)))
5.7b	(* b (- (* c z) (* i a)))
6.3b	(* x (- (* y z) (* t a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

2.0ms	(- (* y z) (* t a))
9.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* y z) (* t a))
21.0ms	(* j (- (* c t) (* i y)))
21.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* x (- (* y z) (* t a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune1.4s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.0b

localize23.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.8b	(* (cbrt x) (- (* y z) (* t a)))
5.7b	(* j (- (* c t) (* i y)))
5.7b	(* b (- (* c z) (* i a)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

26.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
11.0ms	(* (cbrt x) (- (* y z) (* t a)))
9.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* b (- (* c z) (* i a)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
61.0ms	(* (cbrt x) (- (* y z) (* t a)))
21.0ms	(* j (- (* c t) (* i y)))
22.0ms	(* b (- (* c z) (* i a)))

simplify72.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	571	968
1	2535	762
2	5001	699

prune1.7s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.0b

localize25.0ms

Local error

Found 4 expressions with local error:

6.3b	(* x (- (* y z) (* t a)))
7.6b	(cbrt (- (* c t) (* i y)))
7.6b	(cbrt (- (* c t) (* i y)))
7.6b	(cbrt (- (* c t) (* i y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

9.0ms	(* x (- (* y z) (* t a)))
2.0ms	(cbrt (- (* c t) (* i y)))
2.0ms	(cbrt (- (* c t) (* i y)))
2.0ms	(cbrt (- (* c t) (* i y)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (- (* y z) (* t a)))
41.0ms	(cbrt (- (* c t) (* i y)))
39.0ms	(cbrt (- (* c t) (* i y)))
39.0ms	(cbrt (- (* c t) (* i y)))

simplify98.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	315	590
1	1061	543
2	3732	525
3	5001	519

prune1.6s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.0b

localize24.0ms

Local error

Found 4 expressions with local error:

6.3b	(* x (- (* y z) (* t a)))
7.3b	(cbrt (* j (- (* c t) (* i y))))
7.3b	(cbrt (* j (- (* c t) (* i y))))
7.3b	(cbrt (* j (- (* c t) (* i y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

9.0ms	(* x (- (* y z) (* t a)))
5.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (- (* y z) (* t a)))
45.0ms	(cbrt (* j (- (* c t) (* i y))))
47.0ms	(cbrt (* j (- (* c t) (* i y))))
45.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify103.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	314	542
1	1109	489
2	4150	480
3	5001	477

prune1.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.0b

regimes3.9s

Accuracy

-8.8% (4.3b remaining)

Error of 13.0b against oracle of 8.7b and baseline of 12.6b

bsearch151.0ms

Steps

Iters	Range		Point
9	9.02164274379965e-157	4.4796450041411847e-150	9.402059427026323e-157
9	-1.1838821388572887e-100	-1.7093078353660336e-105	-1.7229977138183682e-105

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	38
1	62	38
2	62	38

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.3s

19253×

body

valid