Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms312×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1243
2403
3643
4843
51023
61283
71773
82723
95083
107363
117543
127563
137563

prune8.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x y (* (- 1.0 x) z))
0.0b
(* (- 1.0 x) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 34
Calls
2 calls:
1.0ms
(fma x y (* (- 1.0 x) z))
6.0ms
(* (- 1.0 x) z)

series65.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(fma x y (* (- 1.0 x) z))
33.0ms
(* (- 1.0 x) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131158
1458135
22209135
35001135

prune74.0ms

Filtered
40 candidates to 30 candidates (75.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New37340
Fresh000
Picked011
Done000
Total37441

Merged error: 0.0b

Counts
41 → 4

localize13.0ms

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)

rewrite11.0ms

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:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series797.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(* (cbrt z) (cbrt z))
182.0ms
(cbrt z)
177.0ms
(cbrt z)
179.0ms
(cbrt z)

simplify111.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune230.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh022
Picked011
Done011
Total92597

Merged error: 0b

Counts
97 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 x))
0.0b
(sqrt (- 1.0 x))
0.0b
(* (sqrt (- 1.0 x)) z)
0.1b
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×sqrt-prod
19×*-un-lft-identity
18×sqrt-div
16×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
9×flip3-- flip--
4×expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 99
Calls
4 calls:
4.0ms
(sqrt (- 1.0 x))
4.0ms
(sqrt (- 1.0 x))
7.0ms
(* (sqrt (- 1.0 x)) z)
12.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series191.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(sqrt (- 1.0 x))
38.0ms
(sqrt (- 1.0 x))
92.0ms
(* (sqrt (- 1.0 x)) z)
29.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify116.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0346632
11156558
24913544
35001542

prune227.0ms

Filtered
111 candidates to 78 candidates (70.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh022
Picked011
Done022
Total1115116

Merged error: 0b

Counts
116 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
0.1b
(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))
0.1b
(* (- (sqrt 1.0) (sqrt x)) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity associate-*l*
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
8×sqrt-prod
6×add-cube-cbrt
4×frac-times flip3-- associate-*r* pow-prod-down prod-exp flip-- cbrt-unprod difference-of-squares
3×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
2×associate-*r/ *-commutative distribute-lft-out distribute-lft-out--
1×fma-udef unswap-sqr
Counts
3 → 68
Calls
3 calls:
1.0ms
(fma x y (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
14.0ms
(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))
9.0ms
(* (- (sqrt 1.0) (sqrt x)) z)

series968.0ms

Counts
3 → 9
Calls
3 calls:
347.0ms
(fma x y (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
521.0ms
(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))
99.0ms
(* (- (sqrt 1.0) (sqrt x)) z)

simplify60.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0475808
12135655
25001622

prune185.0ms

Filtered
77 candidates to 58 candidates (75.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done033
Total77582

Merged error: 0b

Counts
82 → 5

regimes70.0ms

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

sample451.0ms

Algorithm
intervals
Results
243.0ms10104×body80valid

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