Details

Time bar (total: 5.2s)

analyze1.0s

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms11×body80invalid

simplify67.0ms

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: 3.2b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
12.4b
(/ (- 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)
16.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series33.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (+ (- t z) 1.0) a)
27.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06291758
124231698
250031697

prune198.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1774181
Fresh000
Picked011
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))
1.2b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite29.0ms

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))
15.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series40.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(/ (- y z) (+ (- t z) 1.0))
27.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0377755
11255699
25001697

prune105.0ms

Filtered
65 candidates to 108 candidates (-66.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh123
Picked011
Done011
Total1085113

Merged error: 0b

Counts
113 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
1.4b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
1066×times-frac
924×*-un-lft-identity
544×add-sqr-sqrt
392×add-cube-cbrt
152×distribute-lft-out distribute-lft-out--
76×difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
26×add-exp-log
18×associate-/r*
17×div-exp
16×add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
3×div-sub associate-/l/
2×pow1 rec-exp frac-2neg 1-exp clear-num add-log-exp
1×flip3-- flip--
Counts
2 → 524
Calls
2 calls:
10.0ms
(/ (- y z) (+ (- t z) 1.0))
23.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series43.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (- y z) (+ (- t z) 1.0))
27.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify317.0ms

Algorithm
egg-herbie
Counts
530 → 530
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
018297401
150016882

prune411.0ms

Filtered
207 candidates to 530 candidates (-156.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5300530
Fresh022
Picked011
Done022
Total5305535

Merged error: 0b

Counts
535 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.3b
(pow (/ (- y z) (+ (- t z) 1.0)) 3)
1.2b
(* (cbrt (pow (/ (- y z) (+ (- t z) 1.0)) 3)) a)
16.8b
(cbrt (pow (/ (- y z) (+ (- t z) 1.0)) 3))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
339×*-un-lft-identity
177×times-frac
174×add-sqr-sqrt
142×cbrt-prod
95×unpow-prod-down cube-prod
87×add-cube-cbrt
72×distribute-lft-out distribute-lft-out--
71×associate-*l*
36×difference-of-squares
14×associate-/r/
11×add-exp-log
10×add-cbrt-cube
7×pow1 flip3-+ flip-+ div-inv unswap-sqr
5×associate-/r* associate-/l*
4×add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*r*
2×cbrt-undiv cbrt-div div-exp pow-exp associate-/l/ rem-cube-cbrt
1×pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-sub pow-prod-down associate-*l/ prod-exp clear-num *-commutative flip-- rem-cbrt-cube cbrt-unprod
Counts
4 → 305
Calls
4 calls:
10.0ms
(/ (- y z) (+ (- t z) 1.0))
13.0ms
(pow (/ (- y z) (+ (- t z) 1.0)) 3)
24.0ms
(* (cbrt (pow (/ (- y z) (+ (- t z) 1.0)) 3)) a)
14.0ms
(cbrt (pow (/ (- y z) (+ (- t z) 1.0)) 3))

series78.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (- y z) (+ (- t z) 1.0))
30.0ms
(pow (/ (- y z) (+ (- t z) 1.0)) 3)
27.0ms
(* (cbrt (pow (/ (- y z) (+ (- t z) 1.0)) 3)) a)
11.0ms
(cbrt (pow (/ (- y z) (+ (- t z) 1.0)) 3))

simplify106.0ms

Algorithm
egg-herbie
Counts
317 → 317
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07022582
131212447
250012424

prune242.0ms

Filtered
130 candidates to 317 candidates (-143.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3170317
Fresh011
Picked011
Done033
Total3175322

Merged error: 0b

Counts
322 → 5

regimes499.0ms

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
0146
1146

end0.0ms

analyze1.0s

Algorithm
search

sample593.0ms

Algorithm
intervals
Results
320.0ms7998×body80valid
18.0ms501×body80invalid
0.0ms2×body640valid

Profiling

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