Details

Time bar (total: 3.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms312×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1243
2403
3663
4863
5973
61183
71593
82443
94423
106263
116913
127383
137653
147653

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (- x 1.0) z)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 24
Calls
1 calls:
6.0ms
(* (- x 1.0) z)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (- x 1.0) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010994
140384
2193584
3500184

prune52.0ms

Filtered
27 candidates to 20 candidates (74.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428

Merged error: 0b

Counts
28 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
8.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series868.0ms

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt z) (cbrt z))
184.0ms
(cbrt z)
179.0ms
(cbrt z)
176.0ms
(cbrt z)

simplify93.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune213.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done011
Total93497

Merged error: 0b

Counts
97 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(sqrt (* (- x 1.0) z))
0.0b
(sqrt (* (- x 1.0) z))
0.2b
(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*l* flip--
8×add-exp-log add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 113
Calls
4 calls:
6.0ms
(* (- x 1.0) z)
5.0ms
(sqrt (* (- x 1.0) z))
5.0ms
(sqrt (* (- x 1.0) z))
14.0ms
(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (- x 1.0) z)
82.0ms
(sqrt (* (- x 1.0) z))
94.0ms
(sqrt (* (- x 1.0) z))
30.0ms
(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0255533
11111484
25001464

prune232.0ms

Filtered
125 candidates to 78 candidates (62.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done022
Total1254129

Merged error: 0b

Counts
129 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
0.1b
(* (- (sqrt x) (sqrt 1.0)) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×associate-*l*
13×*-un-lft-identity
10×associate-*l/
9×pow1 add-exp-log add-cbrt-cube
8×sqrt-prod
5×add-cube-cbrt
4×frac-times flip3-- associate-*r* pow-prod-down prod-exp flip-- cbrt-unprod difference-of-squares
3×flip3-+ flip-+
2×expm1-log1p-u associate-*r/ *-commutative log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp
1×unswap-sqr
Counts
2 → 58
Calls
2 calls:
15.0ms
(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
9.0ms
(* (- (sqrt x) (sqrt 1.0)) z)

series467.0ms

Counts
2 → 6
Calls
2 calls:
360.0ms
(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
107.0ms
(* (- (sqrt x) (sqrt 1.0)) z)

simplify56.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0425641
11958509
25001482

prune146.0ms

Filtered
64 candidates to 46 candidates (71.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done033
Total64468

Merged error: 0b

Counts
68 → 4

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample447.0ms

Algorithm
intervals
Results
235.0ms10104×body80valid

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