Details

Time bar (total: 6.1s)

sample78.0ms

Algorithm
intervals
Results
53.0ms259×body10240exit
6.0ms195×body80valid
3.0ms29×body320valid
1.0ms10×body640valid
1.0ms23×body160valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0219
1529
21139
32408
416258
550018

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ wj (+ wj 1))
0.0b
(/ x (+ wj 1))
0.0b
(/ (/ x (+ wj 1)) (exp wj))
6.0b
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
231×*-un-lft-identity
175×times-frac
129×add-sqr-sqrt
124×add-cube-cbrt
72×prod-diff
52×distribute-lft-out
24×associate-/l*
20×associate-/r/
13×add-cbrt-cube
11×add-exp-log flip3-+ associate-/r* flip-+ div-inv
9×add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u fma-neg log1p-expm1-u
3×frac-2neg clear-num
2×diff-log frac-sub distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- associate--l+ sum-log flip-- associate-/l/
Counts
4 → 260
Calls
4 calls:
5.0ms
(/ wj (+ wj 1))
5.0ms
(/ x (+ wj 1))
12.0ms
(/ (/ x (+ wj 1)) (exp wj))
421.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series144.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ wj (+ wj 1))
22.0ms
(/ x (+ wj 1))
39.0ms
(/ (/ x (+ wj 1)) (exp wj))
58.0ms
(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify122.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
010154090
145553249
250013243

prune540.0ms

Filtered
272 candidates to 165 candidates (60.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2 (* wj x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
6.0ms
(* 2 (* wj x))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* 2 (* wj x))

simplify80.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08872
132062
2123762
3344862
4500162

prune55.0ms

Filtered
23 candidates to 13 candidates (56.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ wj (+ wj 1))
0.0b
(/ (- wj 1) (exp wj))
0.0b
(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
6.0b
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity
137×add-sqr-sqrt
113×times-frac
89×add-cube-cbrt
54×prod-diff
25×associate-*r*
24×associate-*l*
22×difference-of-squares
20×add-cbrt-cube
17×add-exp-log
13×distribute-lft-out
10×difference-of-sqr-1 associate-/r/ associate-/l*
9×add-log-exp
8×distribute-lft-out--
7×associate-/r* div-inv
6×pow1 cbrt-undiv div-exp
5×flip3-+ flip-+
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
3×flip3-- fma-neg flip--
2×frac-2neg diff-log clear-num frac-sub associate-/l/
1×frac-times sub-neg div-sub associate-*r/ pow-prod-down associate-*l/ associate--l+ sum-log *-commutative
Counts
4 → 236
Calls
4 calls:
5.0ms
(/ wj (+ wj 1))
10.0ms
(/ (- wj 1) (exp wj))
42.0ms
(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
154.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ wj (+ wj 1))
37.0ms
(/ (- wj 1) (exp wj))
67.0ms
(* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj)))
122.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (/ wj (+ wj 1)))

simplify64.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011553981
150013238

prune566.0ms

Filtered
248 candidates to 155 candidates (62.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt wj)
0.6b
(cbrt wj)
0.6b
(cbrt wj)
10.8b
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (* (* (cbrt wj) (cbrt wj)) (/ (cbrt wj) (+ wj 1))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-neg pow1/3 prod-diff
2×diff-log associate-*r/ frac-sub
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+
Counts
4 → 63
Calls
4 calls:
0.0ms
(cbrt wj)
0.0ms
(cbrt wj)
1.0ms
(cbrt wj)
140.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (* (* (cbrt wj) (cbrt wj)) (/ (cbrt wj) (+ wj 1))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt wj)
183.0ms
(cbrt wj)
178.0ms
(cbrt wj)
128.0ms
(- (+ (* (/ x (- (* wj wj) 1)) (/ (- wj 1) (exp wj))) wj) (* (* (cbrt wj) (cbrt wj)) (/ (cbrt wj) (+ wj 1))))

simplify45.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0305777
11250670
25002620

prune263.0ms

Filtered
75 candidates to 64 candidates (85.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes85.0ms

Accuracy

52.8% (0.9b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 2.2b

bsearch41.0ms

Steps
ItersRangePoint
9
1.4560450667568386e-14
1.4245899198289959e-07
1.397615986833905e-07

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03433
13433

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.5s7592×body10240exit
195.0ms6255×body80valid
75.0ms784×body320valid
73.0ms473×body640valid
35.0ms551×body160valid