Details

Time bar (total: 5.2s)

sample20.0ms

Algorithm
intervals
Results
10.0ms272×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.6b
(/ x (* (- y z) (- t z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
19.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series171.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- y z) (- t z))
137.0ms
(/ x (* (- y z) (- t z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0384705
11834535
25002528

prune201.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
45.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series792.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt x)
213.0ms
(cbrt x)
203.0ms
(cbrt x)
169.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05391075
12688884
25001825

prune423.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.1b
(/ (/ x (- y z)) (- t z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
5.0ms
(/ x (- y z))
22.0ms
(/ (/ x (- y z)) (- t z))

series173.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (- y z))
136.0ms
(/ (/ x (- y z)) (- t z))

simplify74.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06441751
123221707
250011707

prune494.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) x)
0.2b
(/ 1 (/ (- y z) x))
2.1b
(/ (/ 1 (/ (- y z) x)) (- t z))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
1054×times-frac
680×add-sqr-sqrt *-un-lft-identity
414×add-cube-cbrt
133×distribute-lft-out-- difference-of-squares
70×associate-/l*
35×add-exp-log
31×div-inv
27×associate-/r*
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
9×associate-/r/
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
2×flip3-- flip--
1×pow-flip div-sub inv-pow
Counts
3 → 544
Calls
3 calls:
9.0ms
(/ (- y z) x)
9.0ms
(/ 1 (/ (- y z) x))
36.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

series581.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- y z) x)
74.0ms
(/ 1 (/ (- y z) x))
477.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

simplify113.0ms

Algorithm
egg-herbie
Counts
553 → 553
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
017706479
150015953

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

59.1% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02014
12014

end0.0ms

sample423.0ms

Algorithm
intervals
Results
216.0ms8452×body80valid