Details

Time bar (total: 3.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
03112
116811
29659
350018

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
11.9b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×add-log-exp
3×add-sqr-sqrt
2×pow1 add-cube-cbrt flip3-- *-un-lft-identity associate-*l/ associate-/r/ flip--
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l* difference-of-squares
Counts
2 → 40
Calls
2 calls:
29.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
62.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
73.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0342496
11633364
25001364

prune76.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
11.5b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
31×times-frac
26×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
18×associate-*l*
8×cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares
7×associate-*r*
5×pow1 add-log-exp
4×associate-/r* associate-/r/ unswap-sqr
3×flip3-- flip-- div-inv associate-/l*
1×frac-times sub-neg frac-2neg diff-log associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 99
Calls
3 calls:
28.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
134.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
48.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series202.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* (* 2.0 i) (* 2.0 i)) 1.0)
73.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
74.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05401082
12522934
25002925

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ i (- (* 2.0 i) (sqrt 1.0)))
0.0b
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))))
0.0b
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
0.1b
(* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
155×add-exp-log
89×add-cbrt-cube
68×prod-exp
53×add-sqr-sqrt div-exp
46×times-frac
38×*-un-lft-identity
36×add-cube-cbrt cbrt-unprod
28×cbrt-undiv
22×associate-*r*
16×associate-*l*
12×pow1
9×rec-exp 1-exp
8×associate-/r/
6×frac-times associate-*l/ associate-/r* associate-/l* unswap-sqr
5×div-inv
4×associate-*r/ pow-prod-down add-log-exp
2×flip3-- frac-2neg flip3-+ clear-num *-commutative flip-- flip-+
1×pow-flip inv-pow
Counts
4 → 189
Calls
4 calls:
14.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
72.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))))
16.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
105.0ms
(* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0)))

series529.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
199.0ms
(* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))))
65.0ms
(/ 1 (+ (* 2.0 i) (sqrt 1.0)))
181.0ms
(* (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (* 2.0 2.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09992548
150011960

prune332.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ i (- (* 2.0 i) (sqrt 1.0)))
0.0b
(/ (* (/ i (* 2.0 2.0)) (/ i (- (* 2.0 i) (sqrt 1.0)))) (+ (* 2.0 i) (sqrt 1.0)))
0.0b
(* (/ i (* 2.0 2.0)) (/ i (- (* 2.0 i) (sqrt 1.0))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
32×add-sqr-sqrt
28×times-frac
22×cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
16×prod-exp cbrt-unprod
15×associate-*r*
7×associate-*l*
6×associate-/r* associate-/r/
5×pow1
4×div-inv associate-/l* unswap-sqr
3×associate-/l/ add-log-exp
2×frac-times flip3-- frac-2neg associate-*r/ associate-*l/ clear-num flip--
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
3 → 115
Calls
3 calls:
14.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
42.0ms
(/ (* (/ i (* 2.0 2.0)) (/ i (- (* 2.0 i) (sqrt 1.0)))) (+ (* 2.0 i) (sqrt 1.0)))
58.0ms
(* (/ i (* 2.0 2.0)) (/ i (- (* 2.0 i) (sqrt 1.0))))

series362.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
188.0ms
(/ (* (/ i (* 2.0 2.0)) (/ i (- (* 2.0 i) (sqrt 1.0)))) (+ (* 2.0 i) (sqrt 1.0)))
90.0ms
(* (/ i (* 2.0 2.0)) (/ i (- (* 2.0 i) (sqrt 1.0))))

simplify86.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07081466
138301151
250011113

prune233.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511
11511

end0.0ms

sample609.0ms

Algorithm
intervals
Results
422.0ms8000×body80valid
64.0ms8000×pre80true