Details

Time bar (total: 6.3s)

sample37.0ms

Algorithm
intervals
Results
19.0ms515×body80valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (83.0ms)

IterNodesCost
0216
1526
21716
34016
48296
510906
616106
719566
822526
923675
1023675

prune6.0ms

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: 6.3b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
5.9b
(* (* y 4.0) (- t (* z z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
4×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- associate-*l* *-commutative flip-- fma-udef difference-of-squares
Counts
2 → 43
Calls
2 calls:
1.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
7.0ms
(* (* y 4.0) (- t (* z z)))

series185.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
89.0ms
(* (* y 4.0) (- t (* z z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0252340
11165287
25002282

prune109.0ms

Filtered
49 candidates to 31 candidates (63.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New45449
Fresh000
Picked101
Done000
Total46450

Merged error: 2.2b

Counts
50 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
5.9b
(* (* y 4.0) (- t (* z z)))
40.4b
(fma (- z) z (* z z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity prod-diff
5×distribute-rgt-in distribute-lft-in
4×associate-*r*
3×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg associate-*r/ fma-udef
1×flip3-- associate-*l* *-commutative flip-- difference-of-squares
Counts
3 → 53
Calls
3 calls:
1.0ms
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
8.0ms
(* (* y 4.0) (- t (* z z)))
1.0ms
(fma (- z) z (* z z))

series1.9s

Counts
3 → 9
Calls
3 calls:
1.7s
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
89.0ms
(* (* y 4.0) (- t (* z z)))
59.0ms
(fma (- z) z (* z z))

simplify46.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0268462
11232391
25002382

prune161.0ms

Filtered
62 candidates to 43 candidates (69.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh033
Picked011
Done000
Total60666

Merged error: 2.2b

Counts
66 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

4.9b
(cbrt (* (* y 4.0) (- t (* z z))))
5.9b
(* (* y 4.0) (- t (* z z)))
5.9b
(* (* y 4.0) (- t (* z z)))
5.9b
(* (* y 4.0) (- t (* z z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
18×prod-diff
16×add-sqr-sqrt
15×distribute-rgt-in distribute-lft-in
13×add-cube-cbrt *-un-lft-identity
12×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
8×associate-*r/
6×sub-neg
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×associate-*l* *-commutative difference-of-squares
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 112
Calls
4 calls:
5.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
8.0ms
(* (* y 4.0) (- t (* z z)))
8.0ms
(* (* y 4.0) (- t (* z z)))
8.0ms
(* (* y 4.0) (- t (* z z)))

series636.0ms

Counts
4 → 12
Calls
4 calls:
372.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
89.0ms
(* (* y 4.0) (- t (* z z)))
92.0ms
(* (* y 4.0) (- t (* z z)))
83.0ms
(* (* y 4.0) (- t (* z z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0331878
11356753
25001735

prune309.0ms

Filtered
124 candidates to 75 candidates (60.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1222124
Fresh044
Picked011
Done011
Total1228130

Merged error: 2.2b

Counts
130 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

4.9b
(cbrt (* (* y 4.0) (- t (* z z))))
5.9b
(* (* y 4.0) (- t (* z z)))
5.9b
(* (* y 4.0) (- t (* z z)))
6.5b
(cbrt (- t (* z z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
12×prod-diff
11×add-cube-cbrt *-un-lft-identity
10×distribute-rgt-in distribute-lft-in
8×associate-*r*
6×associate-*r/ pow-prod-down prod-exp cbrt-unprod
5×cbrt-prod
4×expm1-log1p-u sub-neg cbrt-div flip3-- flip-- log1p-expm1-u add-log-exp
3×difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
6.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
8.0ms
(* (* y 4.0) (- t (* z z)))
8.0ms
(* (* y 4.0) (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))

series851.0ms

Counts
4 → 12
Calls
4 calls:
355.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
82.0ms
(* (* y 4.0) (- t (* z z)))
89.0ms
(* (* y 4.0) (- t (* z z)))
325.0ms
(cbrt (- t (* z z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0418760
11560666
25001647

prune353.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh055
Picked101
Done022
Total1078115

Merged error: 2.2b

Counts
115 → 8

regimes307.0ms

Accuracy

80.4% (0.6b remaining)

Error of 3.5b against oracle of 2.8b and baseline of 6.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03020
13020

end0.0ms

sample987.0ms

Algorithm
intervals
Results
592.0ms15853×body80valid

Profiling

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