Details

Time bar (total: 4.3s)

analyze1.0s

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms13×body80invalid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
10.1b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
8.0ms
(/ (+ (- t z) 1.0) a)
13.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series34.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (+ (- t z) 1.0) a)
27.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify68.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06291758
124231698
250031697

prune195.0ms

Filtered
103 candidates to 181 candidates (-75.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1765181
Fresh000
Picked101
Done000
Total1775182

Merged error: 0b

Counts
182 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.6b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
10.0ms
(/ (- y z) (+ (- t z) 1.0))
17.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series38.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- y z) (+ (- t z) 1.0))
27.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0377755
11255699
25001697

prune102.0ms

Filtered
64 candidates to 108 candidates (-68.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1062108
Fresh314
Picked101
Done000
Total1103113

Merged error: 0b

Counts
113 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) (- y z))
0.3b
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
0.6b
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
446×*-un-lft-identity
392×times-frac
253×add-sqr-sqrt
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out distribute-lft-out--
41×difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip-- associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×associate-+l- pow-flip flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-+ inv-pow
Counts
3 → 326
Calls
3 calls:
10.0ms
(/ (+ (- t z) 1.0) (- y z))
14.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
28.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series53.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (+ (- t z) 1.0) (- y z))
16.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
27.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify111.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08302954
141332651
250022428

prune246.0ms

Filtered
153 candidates to 335 candidates (-119.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3350335
Fresh022
Picked011
Done000
Total3353338

Merged error: 0b

Counts
338 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
9.7b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
31×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt
21×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×associate-*l* associate-/r*
4×pow1 associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ div-exp associate-*l/ prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative difference-of-squares
Counts
2 → 83
Calls
2 calls:
7.0ms
(/ a (+ (- t z) 1.0))
15.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ a (+ (- t z) 1.0))
18.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0342553
11536501
25002500

prune84.0ms

Filtered
58 candidates to 89 candidates (-53.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done011
Total89392

Merged error: 0b

Counts
92 → 3

regimes299.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

analyze1.0s

Algorithm
search

sample612.0ms

Algorithm
intervals
Results
334.0ms7998×body80valid
18.0ms469×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid

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