Details

Time bar (total: 2.8s)

sample34.0ms

Algorithm
intervals
Results
11.0ms270×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
088713
188713

prune13.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*r*
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-*l*
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 associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
9.0ms
(/ (- z y) (+ t (- 1.0 z)))
14.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

series32.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- z y) (+ t (- 1.0 z)))
22.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
055271325

prune121.0ms

Filtered
63 candidates to 108 candidates (-71.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1044108
Fresh011
Picked101
Done000
Total1055110

Merged error: 0b

Counts
110 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))
0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
51×cbrt-prod
29×add-sqr-sqrt
18×cbrt-div
16×distribute-lft-out
15×add-cube-cbrt
14×swap-sqr
11×pow1 distribute-lft-out--
9×pow1/3
8×associate-*r* associate-*l*
6×add-exp-log flip3-+ flip-+
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×flip3-- flip-- difference-of-squares
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
14.0ms
(* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))

series98.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))
27.0ms
(cbrt (- z y))
25.0ms
(cbrt (- z y))
25.0ms
(cbrt (- z y))

simplify59.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051841258

prune195.0ms

Filtered
74 candidates to 117 candidates (-58.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh044
Picked011
Done000
Total1175122

Merged error: 0b

Counts
122 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ t (- 1.0 z)))
0.2b
(* (- z y) (/ 1 (+ t (- 1.0 z))))
1.4b
(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
33×add-sqr-sqrt
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
14×distribute-lft-out
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out--
7×cbrt-unprod
6×div-exp
5×associate-/r*
4×frac-times flip3-- pow-prod-down associate-*l/ associate-/r/ flip--
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×flip3-+ un-div-inv *-commutative flip-+ div-inv
1×pow-flip frac-2neg clear-num inv-pow difference-of-squares
Counts
3 → 119
Calls
3 calls:
7.0ms
(/ 1 (+ t (- 1.0 z)))
14.0ms
(* (- z y) (/ 1 (+ t (- 1.0 z))))
13.0ms
(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

series33.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (+ t (- 1.0 z)))
10.0ms
(* (- z y) (/ 1 (+ t (- 1.0 z))))
19.0ms
(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

simplify37.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050761291

prune121.0ms

Filtered
74 candidates to 128 candidates (-73.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done011
Total1285133

Merged error: 0b

Counts
133 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ t (- 1.0 z)))
0.4b
(cbrt (+ t (- 1.0 z)))
0.4b
(* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))
4.4b
(* (/ a (* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))) (/ (- z y) (cbrt (+ t (- 1.0 z)))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
130×*-un-lft-identity
75×add-sqr-sqrt
73×cbrt-prod
54×associate-*r*
50×times-frac
35×add-cube-cbrt
30×cbrt-div distribute-lft-out
27×add-exp-log
23×associate-*l* distribute-lft-out--
18×add-cbrt-cube
15×flip3-+ flip-+
14×swap-sqr
13×pow1
10×associate-/r/ unswap-sqr
9×frac-times prod-exp cbrt-unprod
8×pow1/3 difference-of-squares
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 → 181
Calls
4 calls:
5.0ms
(cbrt (+ t (- 1.0 z)))
5.0ms
(cbrt (+ t (- 1.0 z)))
13.0ms
(* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))
35.0ms
(* (/ a (* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))) (/ (- z y) (cbrt (+ t (- 1.0 z)))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (+ t (- 1.0 z)))
16.0ms
(cbrt (+ t (- 1.0 z)))
20.0ms
(* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))
24.0ms
(* (/ a (* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))) (/ (- z y) (cbrt (+ t (- 1.0 z)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049603260
149603260

prune333.0ms

Filtered
125 candidates to 193 candidates (-54.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1930193
Fresh022
Picked011
Done022
Total1935198

Merged error: 0b

Counts
198 → 5

regimes511.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02339
12339

end0.0ms

sample785.0ms

Algorithm
intervals
Results
338.0ms8502×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid

Profiling

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