Details

Time bar (total: 2.9s)

sample17.0ms

Algorithm
intervals
Results
6.0ms294×body80valid

simplify98.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0113
1223
2443
3703
41003
51173
64203
729763
850013
done50013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.2b
(/ (* x (- y z)) y)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
23.0ms
(* x (- y z))
26.0ms
(/ (* x (- y z)) y)

series106.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* x (- y z))
63.0ms
(/ (* x (- y z)) y)

simplify56.0ms

Counts
77 → 77
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0299483
11416328
25001328
done5001328

prune132.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.6b
(* x (/ (- y z) y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 80
Calls
2 calls:
17.0ms
(/ (- y z) y)
30.0ms
(* x (/ (- y z) y))

series97.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- y z) y)
61.0ms
(* x (/ (- y z) y))

simplify55.0ms

Counts
86 → 86
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0270409
11205378
25001377
done5001377

prune194.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
1.6b
(* x (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
18×add-sqr-sqrt
15×cbrt-prod *-un-lft-identity
14×add-cbrt-cube
9×add-cube-cbrt prod-exp cbrt-unprod
6×pow1 cbrt-div
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 83
Calls
4 calls:
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))
60.0ms
(* x (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))))

series684.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- y z))
153.0ms
(cbrt (- y z))
169.0ms
(cbrt (- y z))
210.0ms
(* x (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))))

simplify49.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0368771
11508666
25001627
done5001627

prune280.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1 (/ z y))
3.6b
(* x (- 1 (/ z y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
125×add-sqr-sqrt
117×prod-diff
115×*-un-lft-identity
107×add-cube-cbrt
85×times-frac
41×distribute-rgt-in distribute-lft-in
9×div-inv
8×associate-*r* difference-of-squares
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 170
Calls
2 calls:
16.0ms
(- 1 (/ z y))
57.0ms
(* x (- 1 (/ z y)))

series47.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1 (/ z y))
30.0ms
(* x (- 1 (/ z y)))

simplify71.0ms

Counts
176 → 176
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05583021
123841933
250021611
done50021611

prune127.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes78.0ms

Accuracy

-79.9% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.1b

bsearch71.0ms

Steps
ItersRangePoint
9
8.028029203326457e-126
2.393308632940198e-119
1.444583585396196e-125
8
-2.2416054230608577e-248
-1.872794966336752e-252
-1.9016461285222593e-252

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03320
13720
23820
33820
done3820

end0.0ms

sample450.0ms

Algorithm
intervals
Results
196.0ms9612×body80valid