Details

sample70.0ms

Algorithm

intervals

Results

38.0ms

582×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
5.0b	(* b (- (* c z) (* t i)))
5.1b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
6.1b	(* x (- (* y z) (* t a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `add-log-exp`
5×	`sub-neg` `prod-diff`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log` `fma-udef`

Counts

4 → 82

Calls

4 calls:

3.0ms	(- (* y z) (* t a))
10.0ms	(* b (- (* c z) (* t i)))
0.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
10.0ms	(* x (- (* y z) (* t a)))

series728.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y z) (* t a))
69.0ms	(* b (- (* c z) (* t i)))
555.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
67.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	376	645
1	1500	568
2	5001	568

prune420.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.0b

localize30.0ms

Local error

Found 4 expressions with local error:

5.0b	(* b (- (* c z) (* t i)))
5.1b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
6.1b	(* x (- (* y z) (* t a)))
50.3b	(fma (- i) t (* i t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-diff` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

10.0ms	(* b (- (* c z) (* t i)))
0.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
10.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- i) t (* i t))

series3.5s

Counts

4 → 12

Calls

4 calls:

69.0ms	(* b (- (* c z) (* t i)))
3.4s	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
68.0ms	(* x (- (* y z) (* t a)))
23.0ms	(fma (- i) t (* i t))

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	363	664
1	1472	577
2	5001	577

prune456.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.0b

localize29.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt (- (* y z) (* t a)))
7.3b	(cbrt (- (* y z) (* t a)))
7.3b	(cbrt (- (* y z) (* t a)))
50.3b	(fma (- i) t (* i t))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 55

Calls

4 calls:

2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))
0.0ms	(fma (- i) t (* i t))

series368.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (- (* y z) (* t a)))
113.0ms	(cbrt (- (* y z) (* t a)))
114.0ms	(cbrt (- (* y z) (* t a)))
28.0ms	(fma (- i) t (* i t))

simplify131.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	208	512
1	583	478
2	1826	460
3	4900	452
4	5001	452

prune522.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.0b

localize32.0ms

Local error

Found 4 expressions with local error:

7.0b	(cbrt (* b (- (* c z) (* t i))))
7.0b	(cbrt (* b (- (* c z) (* t i))))
7.0b	(cbrt (* b (- (* c z) (* t i))))
50.3b	(fma (- i) t (* i t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-div` `associate-*r/`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

4.0ms	(cbrt (* b (- (* c z) (* t i))))
4.0ms	(cbrt (* b (- (* c z) (* t i))))
4.0ms	(cbrt (* b (- (* c z) (* t i))))
0.0ms	(fma (- i) t (* i t))

series442.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (* b (- (* c z) (* t i))))
142.0ms	(cbrt (* b (- (* c z) (* t i))))
136.0ms	(cbrt (* b (- (* c z) (* t i))))
25.0ms	(fma (- i) t (* i t))

simplify64.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	204	470
1	646	430
2	2255	421
3	5002	413

prune421.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.0b

regimes828.0ms

Accuracy

-5.7% (7.7b remaining)

Error of 13.0b against oracle of 5.3b and baseline of 12.5b

bsearch162.0ms

Steps

Iters	Range		Point
6	2.480520828150178e-227	2.445506978109496e-226	1.6568292223393905e-226
6	-1.740722365852627e-88	-2.902979680027192e-89	-2.9341175941207423e-89

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	37
1	61	37
2	72	37
3	72	37

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

18842×

body

valid