Details

Time bar (total: 4.8s)

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%99.8%0.2%12
3.7%96.1%0.2%13
4.2%94.5%1.3%14

sample31.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
3.0ms63×body80invalid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0503815

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (+ 1.0 (/ 1 z)) t)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×times-frac
11×add-sqr-sqrt add-cube-cbrt
8×distribute-lft-out
5×div-inv associate-/l*
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ add-log-exp
Counts
1 → 37
Calls
1 calls:
8.0ms
(/ (+ 1.0 (/ 1 z)) t)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ (+ 1.0 (/ 1 z)) t)

simplify82.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04888435
14888435

prune57.0ms

Filtered
24 candidates to 40 candidates (-66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New38240
Fresh011
Picked011
Done000
Total38442

Merged error: 0b

Counts
42 → 4

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (+ 1.0 (/ 1 z)) (/ 1 t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×times-frac
10×add-exp-log
9×add-cube-cbrt
6×add-cbrt-cube
5×associate-*l*
4×prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-+ div-exp associate-*l/ cbrt-unprod flip-+ div-inv distribute-lft-out
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative add-log-exp
Counts
1 → 42
Calls
1 calls:
11.0ms
(* (+ 1.0 (/ 1 z)) (/ 1 t))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* (+ 1.0 (/ 1 z)) (/ 1 t))

simplify53.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05007429

prune56.0ms

Filtered
27 candidates to 45 candidates (-66.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh022
Picked011
Done011
Total45449

Merged error: 0b

Counts
49 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
9.9b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×pow1 add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt associate-*r*
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate-/l/ add-log-exp
1×distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ associate-*l* clear-num associate-/r* *-commutative flip-- flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 47
Calls
2 calls:
7.0ms
(* (* z 2.0) (- 1.0 t))
6.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series16.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (* z 2.0) (- 1.0 t))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify46.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05052618

prune65.0ms

Filtered
37 candidates to 53 candidates (-43.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New53053
Fresh011
Picked011
Done022
Total53457

Merged error: 0b

Counts
57 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (+ 1.0 (/ 1 z)) t))
0.1b
(/ (+ 1.0 (/ 1 z)) t)
0.1b
(/ (+ 1.0 (/ 1 z)) t)
0.2b
(* (sqrt (/ (+ 1.0 (/ 1 z)) t)) (sqrt (/ (+ 1.0 (/ 1 z)) t)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
202×*-un-lft-identity
148×times-frac
145×sqrt-prod
116×add-sqr-sqrt
85×add-cube-cbrt
70×distribute-lft-out
42×swap-sqr div-inv
22×associate-*r* associate-*l*
20×pow1
10×add-exp-log add-cbrt-cube associate-/l*
9×sqrt-pow1 pow1/2 unswap-sqr
6×associate-/r*
5×sqrt-div pow-prod-up
4×associate-/l/ add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg flip3-+ div-exp clear-num flip-+
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 228
Calls
4 calls:
8.0ms
(sqrt (/ (+ 1.0 (/ 1 z)) t))
8.0ms
(/ (+ 1.0 (/ 1 z)) t)
8.0ms
(/ (+ 1.0 (/ 1 z)) t)
27.0ms
(* (sqrt (/ (+ 1.0 (/ 1 z)) t)) (sqrt (/ (+ 1.0 (/ 1 z)) t)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (/ (+ 1.0 (/ 1 z)) t))
4.0ms
(/ (+ 1.0 (/ 1 z)) t)
4.0ms
(/ (+ 1.0 (/ 1 z)) t)
6.0ms
(* (sqrt (/ (+ 1.0 (/ 1 z)) t)) (sqrt (/ (+ 1.0 (/ 1 z)) t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049552939
149552939

prune292.0ms

Filtered
125 candidates to 240 candidates (-92.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2400240
Fresh000
Picked011
Done033
Total2404244

Merged error: 0b

Counts
244 → 4

regimes386.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02017
12017

end0.0ms

analyze1.4s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%99.8%0.2%12
3.7%96.1%0.2%13
4.2%94.5%1.3%14

sample761.0ms

Algorithm
intervals
Results
391.0ms8000×body80valid
116.0ms2336×body80invalid

Profiling

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