Details

Time bar (total: 10.0s)

sample22.0ms

Algorithm
intervals
Results
10.0ms275×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.3b
(/ (* x (- y z)) (- t z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
93×*-un-lft-identity
70×times-frac
49×add-cube-cbrt
35×associate-*r*
22×distribute-lft-out-- difference-of-squares
21×associate-*l*
18×prod-diff
14×associate-/l*
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
7×*-commutative unswap-sqr
5×associate-/r*
4×pow1 associate-*r/
3×flip3-- flip--
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num div-inv
Counts
2 → 155
Calls
2 calls:
8.0ms
(* x (- y z))
16.0ms
(/ (* x (- y z)) (- t z))

series125.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- y z))
83.0ms
(/ (* x (- y z)) (- t z))

simplify102.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
05831254
126221091
250011091

prune336.0ms

Filtered
161 candidates to 95 candidates (59.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1556161
Fresh000
Picked101
Done000
Total1566162

Merged error: 0b

Counts
162 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.5b
(* x (/ (- y z) (- t z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
79×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
25×distribute-lft-out--
24×difference-of-squares
15×associate-*r/
12×associate-/l*
10×associate-/r*
9×add-exp-log add-cbrt-cube
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×associate-*l* clear-num un-div-inv
2×cbrt-undiv expm1-log1p-u frac-2neg div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
2 → 123
Calls
2 calls:
10.0ms
(/ (- y z) (- t z))
18.0ms
(* x (/ (- y z) (- t z)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- y z) (- t z))
82.0ms
(* x (/ (- y z) (- t z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0397711
11611670
25001670

prune298.0ms

Filtered
129 candidates to 84 candidates (65.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh055
Picked011
Done000
Total1296135

Merged error: 0b

Counts
135 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
6.1b
(/ (* x (* (cbrt (- y z)) (cbrt (- y z)))) (/ (- t z) (cbrt (- y z))))

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
4708×add-sqr-sqrt
4512×times-frac
3580×*-un-lft-identity
2943×cbrt-prod
2021×associate-*r*
1534×add-cube-cbrt
976×distribute-lft-out--
882×difference-of-squares
799×unswap-sqr
564×swap-sqr
517×associate-*l*
141×*-commutative
124×cbrt-div associate-/r/
63×flip3-- flip--
61×add-cbrt-cube
57×associate-/l*
54×associate-/r* div-inv
30×cbrt-undiv
27×cbrt-unprod
25×add-exp-log
10×associate-*r/ associate-/l/
9×div-exp
6×prod-exp
4×pow1 expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3
2×frac-2neg associate-*l/ clear-num
Counts
4 → 2603
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
101.0ms
(/ (* x (* (cbrt (- y z)) (cbrt (- y z)))) (/ (- t z) (cbrt (- y z))))

series566.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (- y z))
155.0ms
(cbrt (- y z))
164.0ms
(cbrt (- y z))
88.0ms
(/ (* x (* (cbrt (- y z)) (cbrt (- y z)))) (/ (- t z) (cbrt (- y z))))

simplify526.0ms

Algorithm
egg-herbie
Counts
2615 → 2615
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0500159950

prune6.0s

Filtered
2615 candidates to 1298 candidates (49.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New261502615
Fresh044
Picked011
Done011
Total261562621

Merged error: 0b

Counts
2621 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
10.2b
(* (- y z) (/ x (- t z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
51×*-un-lft-identity
31×times-frac
28×add-cube-cbrt
22×frac-times
21×associate-*r*
20×associate-/r*
14×flip3-- flip--
13×associate-/l*
11×associate-*r/ distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-*l* clear-num
4×pow1 frac-2neg associate-/r/
2×cbrt-undiv expm1-log1p-u div-exp associate-*l/ prod-exp un-div-inv cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×pow-prod-down *-commutative
Counts
2 → 119
Calls
2 calls:
5.0ms
(/ x (- t z))
15.0ms
(* (- y z) (/ x (- t z)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (- t z))
71.0ms
(* (- y z) (/ x (- t z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0402739
12072702
25003702

prune277.0ms

Filtered
125 candidates to 88 candidates (70.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh033
Picked011
Done022
Total1256131

Merged error: 0b

Counts
131 → 6

regimes127.0ms

Accuracy

6.6% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.4b

bsearch92.0ms

Steps
ItersRangePoint
9
1.9767834775588563e-47
1.635679606448013e-42
5.629860740103348e-46
10
-1.401094670789938e-177
-2.0721760722765166e-190
-6.582368882808144e-185

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02415
12415

end0.0ms

sample454.0ms

Algorithm
intervals
Results
236.0ms8671×body80valid