Details

Time bar (total: 3.7s)

analyze1.1s

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
2.3%97.4%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
33.3%66.5%0.2%14

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms25×body80invalid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
0498211
1498211

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
3.0b
(* y (/ (- z t) (- z a)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- z t) (- z a))
13.0ms
(* y (/ (- z t) (- z a)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- z t) (- z a))
15.0ms
(* y (/ (- z t) (- z a)))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050831163

prune120.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh000
Picked011
Done000
Total1027109

Merged error: 0b

Counts
109 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.7b
(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
11×add-cbrt-cube
10×cbrt-div
9×pow1
8×add-cube-cbrt prod-exp cbrt-unprod
6×associate-*r/
5×flip3-- flip--
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-times div-exp associate-*l/
1×associate-*r* *-commutative
Counts
4 → 72
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
20.0ms
(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

series188.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (- z t))
44.0ms
(cbrt (- z t))
44.0ms
(cbrt (- z t))
59.0ms
(* y (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (- z a)) (cbrt (- z a))))))

simplify36.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05625939

prune124.0ms

Filtered
63 candidates to 84 candidates (-33.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done011
Total84791

Merged error: 0b

Counts
91 → 7

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* (- z t) (/ 1 (- z a)))
3.0b
(* y (* (- z t) (/ 1 (- z a))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
6.0ms
(/ 1 (- z a))
18.0ms
(* (- z t) (/ 1 (- z a)))
21.0ms
(* y (* (- z t) (/ 1 (- z a))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z a))
8.0ms
(* (- z t) (/ 1 (- z a)))
15.0ms
(* y (* (- z t) (/ 1 (- z a))))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
058471082

prune112.0ms

Filtered
76 candidates to 128 candidates (-68.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh044
Picked011
Done022
Total1287135

Merged error: 0b

Counts
135 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z a))
0.5b
(cbrt (- z a))
0.5b
(* (cbrt (- z a)) (cbrt (- z a)))
7.0b
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt
79×*-un-lft-identity
65×cbrt-prod
54×associate-*r*
50×times-frac
35×add-cube-cbrt
30×cbrt-div
27×add-exp-log
23×associate-*l*
21×distribute-lft-out--
19×difference-of-squares
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
10×swap-sqr associate-/r/ unswap-sqr
9×frac-times prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 177
Calls
4 calls:
3.0ms
(cbrt (- z a))
3.0ms
(cbrt (- z a))
10.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
33.0ms
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

series103.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- z a))
25.0ms
(cbrt (- z a))
29.0ms
(* (cbrt (- z a)) (cbrt (- z a)))
21.0ms
(* (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a))))

simplify88.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049352490
149352490

prune167.0ms

Filtered
126 candidates to 189 candidates (-50.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1890189
Fresh033
Picked011
Done033
Total1897196

Merged error: 0b

Counts
196 → 7

regimes623.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03833
13833

end0.0ms

sample592.0ms

Algorithm
intervals
Results
296.0ms7999×body80valid
26.0ms763×body80invalid
0.0ms1×body640valid

Profiling

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