Details

sample73.0ms

Algorithm

intervals

Results

39.0ms

602×

body

valid

simplify75.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c z) (* i a))
4.0b	(* j (- (* c t) (* i y)))
5.1b	(* b (- (* c z) (* i a)))
5.1b	(* x (- (* y z) (* t a)))

rewrite37.0ms

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	(- (* c z) (* i a))
11.0ms	(* j (- (* c t) (* i y)))
12.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c z) (* i a))
67.0ms	(* j (- (* c t) (* i y)))
65.0ms	(* b (- (* c z) (* i a)))
63.0ms	(* 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

prune580.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.3b

localize25.0ms

Local error

Found 4 expressions with local error:

5.1b	(* x (- (* y z) (* t a)))
5.4b	(cbrt (* x (- (* y z) (* t a))))
5.4b	(cbrt (* x (- (* y z) (* t a))))
5.4b	(cbrt (* x (- (* y z) (* t a))))

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	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* x (- (* y z) (* t a)))
134.0ms	(cbrt (* x (- (* y z) (* t a))))
128.0ms	(cbrt (* x (- (* y z) (* t a))))
133.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify92.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	257	542
1	923	489
2	3487	480
3	5002	477

prune412.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.3b

localize32.0ms

Local error

Found 4 expressions with local error:

5.1b	(* x (- (* y z) (* t a)))
5.4b	(cbrt (* x (- (* y z) (* t a))))
5.4b	(cbrt (* x (- (* y z) (* t a))))
6.6b	(cbrt (- (* y z) (* t a)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`cbrt-prod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`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 → 59

Calls

4 calls:

9.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
2.0ms	(cbrt (- (* y z) (* t a)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (- (* y z) (* t a)))
134.0ms	(cbrt (* x (- (* y z) (* t a))))
140.0ms	(cbrt (* x (- (* y z) (* t a))))
112.0ms	(cbrt (- (* y z) (* t a)))

simplify101.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	326	558
1	1100	507
2	4050	493
3	5003	487

prune477.0ms

Filtered

71 candidates to 57 candidates (80.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.3b

localize34.0ms

Local error

Found 4 expressions with local error:

5.1b	(* x (- (* y z) (* t a)))
5.4b	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))))
5.4b	(cbrt (* x (- (* y z) (* t a))))
5.4b	(cbrt (* x (- (* y z) (* t a))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*r/`
8×	`add-sqr-sqrt`
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)))
20.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* x (- (* y z) (* t a)))
138.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a)))))
131.0ms	(cbrt (* x (- (* y z) (* t a))))
133.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify110.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	291	607
1	1021	544
2	4098	535
3	5001	482

prune409.0ms

Filtered

69 candidates to 57 candidates (82.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.3b

regimes922.0ms

Accuracy

0.6% (3.8b remaining)

Error of 12.1b against oracle of 8.4b and baseline of 12.1b

bsearch149.0ms

Steps

Iters	Range		Point
6	2.5677588192302983e-163	2.952375365901632e-162	6.559874662320019e-163
6	-1.1724995797336459e-254	-2.0409284066936585e-255	-1.1561152541158853e-254

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	71
1	65	71
2	65	71

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18888×

body

valid