Details

sample129.0ms

Algorithm

intervals

Results

93.0ms

584×

body

valid

simplify76.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
4.4b	(* x (- (* y z) (* t a)))
4.4b	(* b (- (* c z) (* i a)))
5.3b	(* j (- (* c t) (* i y)))

rewrite34.0ms

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

series243.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* y z) (* t a))
69.0ms	(* x (- (* y z) (* t a)))
65.0ms	(* b (- (* c z) (* i a)))
69.0ms	(* j (- (* c t) (* i y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune386.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.2b

localize24.0ms

Local error

Found 4 expressions with local error:

5.3b	(* j (- (* c t) (* i y)))
6.0b	(cbrt (* j (- (* c t) (* i y))))
6.0b	(cbrt (* j (- (* c t) (* i y))))
6.0b	(cbrt (* j (- (* c t) (* i y))))

rewrite22.0ms

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	(* j (- (* c t) (* i y)))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))
4.0ms	(cbrt (* j (- (* c t) (* i y))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* j (- (* c t) (* i y)))
142.0ms	(cbrt (* j (- (* c t) (* i y))))
138.0ms	(cbrt (* j (- (* c t) (* i y))))
136.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify96.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	256	542
1	922	489
2	3480	480
3	5001	477

prune475.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.2b

localize32.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt (* j (- (* c t) (* i y))))
6.8b	(cbrt (- (* c t) (* i y)))
6.8b	(cbrt (- (* c t) (* i y)))
6.8b	(cbrt (- (* c t) (* i y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
8×	`cbrt-div`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`associate-*r/`

Counts

4 → 50

Calls

4 calls:

4.0ms	(cbrt (* j (- (* c t) (* i y))))
2.0ms	(cbrt (- (* c t) (* i y)))
2.0ms	(cbrt (- (* c t) (* i y)))
5.0ms	(cbrt (- (* c t) (* i y)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (* j (- (* c t) (* i y))))
113.0ms	(cbrt (- (* c t) (* i y)))
116.0ms	(cbrt (- (* c t) (* i y)))
119.0ms	(cbrt (- (* c t) (* i y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	259	560
1	729	522
2	2413	501
3	5001	496

prune526.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.2b

localize24.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (cbrt b) (- (* c z) (* i a)))
2.8b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
4.4b	(* x (- (* y z) (* t a)))
5.3b	(* j (- (* c t) (* i y)))

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:

11.0ms	(* (cbrt b) (- (* c z) (* i a)))
24.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
9.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* j (- (* c t) (* i y)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

411.0ms	(* (cbrt b) (- (* c z) (* i a)))
97.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
70.0ms	(* x (- (* y z) (* t a)))
66.0ms	(* j (- (* c t) (* i y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	576	966
1	2602	762
2	5002	699

prune423.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 7.4b

regimes1.1s

Accuracy

4.7% (5.1b remaining)

Error of 12.5b against oracle of 7.4b and baseline of 12.8b

bsearch227.0ms

Steps

Iters	Range		Point
8	2.9224332082236564e-222	8.078646496341031e-220	2.652549157768625e-221
6	-7.322352171897339e-143	-7.951109357157297e-144	-9.116737960739215e-144

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	48
1	57	48

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.1s

19242×

body

valid